22
Tuneable Composites Containing
Magnetic Microwires
L. Panina1, M. Ipatov2, V. Zhukova2, J. Gonzalez2 and A. Zhukov2,3
1School
of Computing, Communications and Electronics, University of Plymouth
2Dpto. Fisica de Materiales, Fac. Quimicas, San Sebastian
3IKERBASQUE, Basque Foundation for Science, Bilbao
1United Kingdom
2,3Spain
1. Introduction
This chapter provides a comprehensive review on tuneable electromagnetic properties of
magnetic wire composites. In these systems, the microwave permittivity and permeability
(response to the electric and magnetic field in the wave, respectively) can be controlled by a
weak magnetic field, mechanical stress, and temperature. The underlying physics involves
the combination of collective frequency dispersive effects and giant magnetoimpedance
(GMI) effect in amorphous microwires. In particular, the emphasis is placed on specific
magnetic structures in amorphous magnetic wires, which makes it possible to achieve high
sensitivity of the surface impedance to external stimuli; modelling the microwave spectra in
magnetic wire composites with different microstructure, and experimental results on
tuneable impedance and scattering spectra.
In order to face future developments in microwave technology with applications in such
vital areas as wireless communication, antenna engineering, non-destructive testing of civil
structures, multifunctional structural materials, and biomedical engineering, the
investigations into innovative designs of electromagnetic materials continue to be an
important issue. The problems difficult to overcome are related with unbalanced electric
and magnetic properties of conventional matters, the lack of needed relationships between
the refractive index and wave impedance and between the quality factor and tunability
ratio. Here, we are examining diluted composites with magnetic metallic wires that can
and permeability
at microwave frequencies. A
have both effective permittivity
special feature of these composites is that both parameters can demonstrate a strong
tunability with respect to varying magnetic structure in wires with such external stimuli as
magnetic field, mechanical load and heat. Furthermore, incorporating arrays of magnetic
wires in fibre-reinforced polymer composites has also a potential to engineer materials with
required structural and electromagnetic functionalities.
Large values of permittivity can be engineered utilising ferroelectric or conducting elements.
are obtained for small volume
The latter could be preferable since very large values of
concentrations and various frequency and spacial dispersions of permittivity are realised.
Another advantageous feature of metallic composites is that due to a low concentration of
the metallic phase it could be combined with other subsystems to obtain, for example,
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Metal, Ceramic and Polymeric Composites for Various Uses
magnetic and structural integrity properties. Metallic wire systems as artificial dielectrics
were recognized as early as in 1960s (Brown, 1960) and were used in such applications as
beam shaping systems and broadband absorption systems. Recently arrays of continuous
wires gained much attention as systems with negative real part of the effective permittivity
to constitute the materials with left-handed properties by combining the wire arrays and
ring resonators (Pendry et al, 1998; Smith et al, 2000). In composites with short-cut wires the
length of which is comparable with the wavelength, the effective permittivity may have a
resonance dispersion in the GHz range due to induced dipole moments of wires resonating
at half wavelength condition (Lagarikov & Sarychev, 1996). This differs greatly from natural
dielectrics, where the charge oscillation resonances become important only at optical
frequencies.
The magnetic properties of composites materials could be originated by incorporating a
ferromagnetic phase. A constraint here is commonly related to response-bandwidth product
known as Snoek’s relationship (Snoek, 1948). To avoid this limitation, it was proposed to
design magnetic activity from conducting elements, which is based on magnetic moments of
electric currents. However, the ferromagnetic-like behaviour in systems of current-loops can
be realised in rather narrow frequency band. Yet, this approach allows the magnetic activity
to exist at very high frequencies up to infrared and visible spectral bands (Panina et al,
2000). At frequencies of 1-10 GHz, ferromagnetic components in the form of thin-films often
provide an optimal response due to their high magnetisation saturation, reduced
demagnetisation effects and weak skin effect. Similar performance could be achieved
utilising magnetic wires with special circumferential magnetic anisotropy. Then, this
magnetic subsystem could be easily integrated with the conducting wire arrays generating
the electrical properties. The difference between these two subsystems is that the magnetic
one should be much dense. Here we consider the use of magnetic wires for both electric and
magnetic subsystems. It is demonstrated, that the effective permittivity of magnetic wire
arrays shows strongly tunable behaviour. Such composites could be of interest for
reconfigurable microwave devices as well as for sensory materials (Reynet et al, 2002;
Makhnovskiy et al, 2003; Panina et al, 2005; Makhnovskiy et al, 2006).
Adjustability of electromagnetic properties is important for many applications, especially in
communication, defence and non-destructive testing. This will be highly needed in
realization of reconfigurable local network environment, beam steering antennas, and
microwave methods of remote sensing and control. Several methods were proposed based
on biased ferroelectric, ferrite or magnetic composite substrates (Adenot et al, 2000;
Yashchyshyn & Modelski, 2000) and reconfigurable resonant elements implementing active
devices (Sievenpiper et al, 2002) or a system of micro actuators such as the divergent dipoles
(Barlevy, 1999). These technologies each have its advantages and limitations such as high
power consumption, low operational speed, limited frequency band and high cost. Here we
introduce a relatively new technology of magnetic wire arrays to manipulate the collective
electric response from composite systems. Therefore, the overall response will be decided by
interplay between structural design and magnetic behaviour of individual wires.
In thin conducting wires the currents that are responsible for effective permittivity are
constrained with the associated resonances determined by the geometrical parameters. The
current resonances are damped due to the wire impedance which may increase greatly
when the wire magnetisation is changed. This is known as giant magnetoimpedance (GMI)
effect (Panina & Mohri, 1994; Beach, & Berkowicz, 1994). In soft magnetic amorphous wires
subjected to an external magnetic field GMI is in the range of 100% even at frequencies of
few GHz. Increase in magnetic losses results in increase in the relaxation parameter which
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Tuneable Composites Containing Magnetic Microwires
433
determines the frequency dispersion of the effective permittivity. In the case of plasmonic
wire arrays, this will result in considerable decrease in the absolute value of the permittivity
and will enhance the wave propagation. Similarly, in cut-wire composites, the increase in
relaxation broadens the permittivity dispersion which may even show transformation from
resonance to relaxation behaviour. Therefore, in composites containing ferromagnetic wires
exhibiting GMI effect at GHz frequencies the effective permittivity will depend on the wire
magnetic properties via the corresponding dependence of its impedance. Applying a
magnetic field Hex larger than the magnetic anisotropy field HK in wires which is just in the
range of few Oersted (fraction of mTesla), rotates the magnetisation towards the axis, and
strongly increases its impedance (for frequencies from MHz towards 10 GHz). Then the
permittivity behaviour is damped. This will result in dramatic changes in the wave
propagation through this material. Thus, in composites with Co68Fe4Cr3B14Si11 glass coated
amorphous wires a change in transmission spectra of nearly 15 dB by applying a field of just
5.8 Oe was reported (Makhnovsky et al, 2006). Furthermore, this concept was demonstrated
by investigating magnetic field dependent permittivity of Co-based magnetic microwires
and fibre-reinforced 913 E-glass prepreg (Peng et al, 2009).
Another benefit of using magnetic microwires is that it will be possible to engineer low
density materials with relatively high values of the effective magnetic permeability
originated from natural magnetic properties of the wires with a circumferential magnetic
anisotropy. The magnetic field in the incident wave along the wire will generate substantial
magnetic activity as it will be in the orthogonal position with respect to a static
magnetisation. The demagnetising effects will not deteriorate the axial permeability as the
ac magnetisation could lay in the tangential position to the wire surface. Integrating electric
and magnetic wire arrays, composites with relatively large values of both
and
could
be realised. For example, it will be possible to achieve a negative index of refraction. As
comparing to other types of left handed materials, an enhanced performance in terms of
tunability, simple internal structure, reduced losses and low cost is anticipated.
This chapter is organised as following. In Section 2, the analysis of the effective permittivity
and permeability in magnetic-wire media – random or periodic arrays of ferromagnetic
wires is given. Emphasis is placed on such effects as permittivity dispersion dependent on
the wire magnetic structure, and tunable negative refraction. Section 3 deals with the science
and technology of thin magnetic wires with a diameter 10-50 microns (microwires).
Emphasis is placed on tailoring their magnetic structure to achieve high dynamic
permeability tensor and high sensitivity of GMI at microwave frequencies (few GHz). Here
as constituent elements of wire metamaterials we consider amorphous magnetic wires of
CoFe-based alloy possessing a specific helical magnetic anisotropy and microwave GMI. In
amorphous materials, the magnetoelastic effects determine the magnetic behaviour via the
coupling between magnetostriction and stress frozen in during the fabrication or annealing
treatments. Following this, we will consider magnetoimpedance in wires with a specific
magnetic anisotropy. In Section 4, the discussion on the experimental methods for
measurement of magnetic field-dependent effective permittivity in the GHz frequency band
on the basis of free space techniques and results on tuneable electromagnetic response in the
wire composites are given. Section 5 briefly discusses the possible applications.
2. Electromagnetic spectra of magnetic wire composites
Composites containing elongated metallic inclusions can be designed to have specific
frequency spectra. In particular, composites with metallic wires can have effective
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permittivity of plasmonic type (continuous wires), resonant type (wire length is comparable
with the wavelength) or relaxation type (wire length is much smaller than the wavelength).
Typically, it is considered that the wire radius is small compared to the wavelength. Then,
every wire can be described in terms of effective linear current referred to the wire axis, the
polarization properties of which determine the effective permittivity. It is further assumed
that the wires are ideally conductive; therefore, the field distribution inside them is ignored.
This is justified when the skin effect is strong. Here we are interested in realizing the
conditions when the losses may become relatively large. Therefore, the approximations
utilizing infinite conductivity cannot be used here. In magnetic wires, if the skin effect is
essential the loss parameter is enhanced by the wire dynamic permeability. This will make it
possible to change the dispersion of the effective permittivity by changing the wire magnetic
properties (Makhnovskiy et al, 2003). However, the skin effect should not be too strong
when the relaxation is indeed small and the internal properties of constituent wires have
little effect on the permittivity spectra. For electrical systems, two main configurations are of
interest as shown in Fig.1: periodic arrays of continuous wires (Brown, 1960; Rotman, 1962;
Pendry et al, 1998; Belov et al, 2002) and short-cut wires arranged randomly or periodically
(Lagarikov & Sarychev, 1996 ; Liu et al, 2005) . In the first case, the effective permittivity is of
a plasmonic type with the plasma frequency determined by the spacing between the wires b
and the wire radius a. In the second case, the permittivity is of a resonance type in the
frequency band within which the half wave length condition is realized:
= /
where
is the permittivity of matrix. The volume
l is the wire length, c is the velocity of light and
concentration of wires should be below 0.02%. To design composite with magnetic
properties, it is needed to add a magnetic subsystem with much larger concentration (~510%) of magnetic wires which should be placed parallel to the magnetic field of the incident
electromagnetic wave and perpendicular to the electrical subsystem.
Fig. 1. Sketch of wire composites to engineer permittivity spectra. In periodic arrays, the
electric field in the incident wave is parallel to the wires.
2.1 Electromagnetic field distribution in magnetic wires
Here we are interested in possible effects of the wire magnetic properties on the
electromagnetic spectra of wire composites. Therefore, the electromagnetic field distribution
inside magnetic wires has to be considered. The dynamic magnetic response of wires is
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Tuneable Composites Containing Magnetic Microwires
characterized by the susceptibility tensor ̂ which has the simplest form in the coordinate
system with the -axis parallel to the static magnetization
which in general has some
angle with the wire axis as shown in Fig. 2.
−
̂=
(1)
M
Fig. 2. Magnetic configuration in wires
In the quasi-static approximation, the Maxwell equations inside the wires can be written in
terms of electric or magnetic fields. In cylindrical coordinates ( , , ) the magnetic induction
and magnetic field are related as
=
Here the parameters
=
=
ℎ +
ℎ +
ℎ .
(2)
ℎ .
(3)
are related to the susceptibility tensor (1):
+
cos
,
=
=
+
−
sin
,
.
=−
sin
.
(4)
(5)
The method of finding the solutions for ℎ , ℎ for any frequencies is described in
(Makhnovskiy et al, 2001). Here we are interested in the case of a moderate skin effect
, is the conductivity). In this case, neglecting terms
( = / < , = /√
proportional to the powers of it is obtained
ℎ =ℎ
ℎ =ℎ
,
,
=
=
.
(6)
.
(7)
Using equations (6) and (7) it is possible to find the distribution of electric field
in
magnetic wires, and hence, the surface impedance which relates the tangential components
of electric and magnetic fields at the wire surface. For magnetic subsystems, equations
(3) and (7) determine the effective permeability with respect to magnetic field parallel to the
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Metal, Ceramic and Polymeric Composites for Various Uses
wires. In the approximation used, the longitudinal component of the surface impedance
is expressed as
=
.
(8)
It is possible to demonstrate that the surface impedance increases when the wire
magnetization is rotated towards the axis (when the magnetization angle becomes zero and
cos
= . Certainly the effect of magnetic structure in wires on
will be essential if the
dynamic permeability = +
differs from unity. Coupling between the high frequency
impedance (8) and the magnetization direction depends on the value of µ.
Equations (3) and (8) determine the effective permeability
of the wire system in the
direction parallel to the wire axis :
=
+
−
,
=
.
(9)
Here is the volume concentration of metallic wires. It follows from (9) that the effective
permeability could be essential if the static magnetization has some angle with the wire axis.
will be for the case of the circumferential magnetization (sin =
The largest values of
in equation (4)). Figure 3 shows the spectra of the permittivity parameter = +
for
different values of the dc bias field
applied along the wires. Relatively large values of
are needed to cause substantial changes in the permeability at frequencies larger than 1
/
> , where
is the anisotropy field). On the other hand, the dc
GHz (
magnetization may be rotated from circular to axial direction by applying
~ .
Therefore, sensitive tuning will be realized if the external stimuli cause the reorientation of
the magnetization. For circular magnetization (
~ , the real part of the permeability is
about -20 for frequencies 1 -1.5 GHz. This suggests that it is possible to realize diluted
magnetic composites ( ~ % with a negative effective permeability. Such wire system
could be attractive for use as a component of left-handed metamaterials.
Fig. 3. Spectra of the circular permeability of a wire having a circumferential anisotropy with
the axial field as a parameter. The parameters used for calculations are: =
G,
=
Oe, the anisotropy deviation from circular direction is 5 degrees.
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Tuneable Composites Containing Magnetic Microwires
2.1 Effective permittivity of magnetic wire systems
In a system of short-cut wires, the incident wave induces the dipole electrical moments
which can be found by solving the scattering problem. If the interactions between the
induced dipoles are neglected (diluted system) the effective permittivity
is expressed as
=
+
,
(10)
is the permittivity of matrix and is the electric polarization ( = / ,
is the
Where
wire volume). We are considering the case when the losses in metallic wires are important.
This can be taken into account by solving the scattering problem with the impedance
boundary conditions. The incident electrical field
creates a circular magnetic field
within the wire and at the surface of the wire these fields are related as
=
ℎ ,
(11)
where the surface impedance
is determined by Eq.(9). For non-magnetic wires,
determines resistive losses and for magnetic wires this parameter also includes the
relaxation due to magnetization dynamics as was discussed above. If the relaxation in the
system is relatively large, the dispersion of
broadens and even can show a transition to a
relaxation type. In composites with magnetic wires the relaxation can be controlled by the
magnetic properties of wires and very large changes in the effective permittivity can be
realized by applying external fields (magnetic or mechanical).
The wire polarization is expressed in a simple analytical form in the case of relatively strong
skin effect when the radiation losses are neglected:
=
tan
/
−
(12)
Here
is the renormalized wave number depending on the surface impedance in the
following way:
=
+
=
/
,
=
.
.
(13)
(14)
It turns out that the renormalization of the wave number in (14) is essential in the case of a
moderate skin effect, which is also consistent with the condition of relatively large losses.
In the case of composites with continuous wires, the dispersion of the effective permittivity
corresponds to that for a diluted plasma:
Different approaches to calculate
. Customarily,
is written as
=
−
(15)
give slightly varying results for the plasma frequency,
=
/
(16)
A rigorous approach allowing the determination of
was proposed in (Sarychev and
Shalaev, 2002), which is based on the solution of the Maxwell equations in the elementary
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Metal, Ceramic and Polymeric Composites for Various Uses
cell and the consequent homogenization procedure to find the averaged electric field and
displacement. We extended the method for magnetic wires demonstrating that is given by
(Panina, et al, 2011)
=
(17)
/
Therefore, for both types of magnetic wire composites the relaxation parameter in the
effective permittivity spectra depends on the wire impedance. To better understand the
dependence of the wire impedance on magnetic permeability, it is useful to express the
surface impedance in the approximation of a strong skin effect:
=
−
+
√
.
(18)
increases as a square root of the permeability. It is
Substituting (18) into (14) shows that
also seen that
depends on the static magnetisation angle. However, with increasing the
frequency well beyond the frequency of the ferromagnetic resonance the permeability tends
to be unity and the dependence on
vanishes. Therefore, we demonstrated that the
dispersion properties of permittivity in magnetic wire media depend on the wire internal
magnetic structure following the magnetic behavior of the wire impedance. Combining the
dispersion properties of wire media and GMI effect it is possible to actively tune the
permittivity spectra of arrays of magnetic microwires by application of a small magnetic
field and a stress which is now demonstrated in a number of experimental studies (as will
be discussed in Section 4). However, to realize large and sensitive tuning requires the
existence of very special magnetic structures in wires as that with a circular anisotropy. The
methods of tailoring magnetic structure in amorphous wires will be discussed in Section 3.
Here we give the results of the permittivity modeling made for amorphous Co-based wires
with negative magnetostriction and nearly circular magnetic anisotropy which is presented
in Fig. 4. It is seen that in the presence of the external bias field the dispersion region
broadens since the losses are increased in high impedance state of the wires.
Hex=0
Hex=1.1 HK
10
15
(a)
10
Permittivity
Permittivity
Imaginary part
0
Real part
-10
radius 20 m
spacing 1 cm
-20
1
2
3
4
Frequency, GHz
Hex=0
Hex=1.1 HK
5
0
Real part
Imaginary part
-5
5
-10
(b)
radius 20 m
p= 0.01%
2
3
4
Frequency, GHz
5
Fig. 4. Effective permittivity spectra in composites depicted in Fig.1 with the external field as
a parameter. Modelling is performed for wires with a circumferential anisotropy (anisotropy
field Hk=500A/m). The other parameters are: resistivity 130 µ·cm, magnetization 0.05T,
wire radius 20 µm. For (a), b=1cm. For (b), l=4cm, p=0.01%.
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3. Science and technology of thin magnetic wires
In this part, static and dynamic magnetic properties of amorphous magnetic wires in glass
coating are reviewed in relation to their application in composites with electromagnetic
functionalities.
3.1 Fabrication method of magnetic microwires
There are a number of methods of producing magnetic fibres and wires that may suit
particular applications. Here we are discussing the one widely referred to as modified
Taylor-Ulitovsky method or quenching-and-drawing method (Zhukov & Zhukova, 2010;
Zhukov et al, 2004; Zhukov et al, 2000; Chiriac & Ovari, 1996), which is most suitable for
composite technology. The method, as described elsewhere (Larin et al, 2002; Badinter et al,
1973; Ulitovski & Avernin 1964; Ulitovsky et al, 1960; Ulitovsky 1951; Taylor 1931; Taylor
1924), essentially consists of simultaneous drawing of the composite microwire (metallic
nucleus inside the glass capillary) through the quenching liquid (water or oil) jet onto
rotating bobbins, as schematically depicted in Fig. 5.
Fig. 5. Schematic drawing of microwire fabrication process by the Taylor–Ulitovsky method.
Reprinted with permission from V. S. Larin et al., “Preparation and properties of glasscoated microwires”, J. Magn. Magn. Mater. 249(1-2) pp.39-45 (2002). © 2002, Elsevier
Science (Fig.1)
Magnetic properties of a microwire essentially determined by the structure which depends
mainly on the cooling rate and the chemical composition of the alloy. Some advantages of
this method of microwire fabrication important for composite technology (Larin et al, 2002)
are: repeatability of microwire properties at mass-production; vast range of variation in
parameters (geometrical and physical); fabrication of continuous long pieces of microwire
up to 10 000 m/per bobbin; control and adjustment of geometrical parameters (inner core
diameter and glass thickness) during the fabrication process. There could be some
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Metal, Ceramic and Polymeric Composites for Various Uses
complexities related with the rapid quenching process of thin composite material subjected
during the casting to the mechanical stress arising from different thermal expansion
coefficients of solidifying metallic alloy and the glass coating. This potentially influences the
reproducibility and homogeneity of properties along the microwire length. Another
problem is a possibility of formation of the intermediate layer between the metallic nucleus
and the glass coating because of the interaction between the alloy and the glass coating. The
character of this interaction depends on chemical composition of the ingot as well as on type
of glass used for the casting (Zhukov & Zhukova, 2010).
The other source of instability of properties of cast microwires is related with gas content
inside the microwire. The sources of the gas are: the atmosphere, the gas impurities in the
alloy and the glass. Some content of oxygen and/or hydrogen (in the range of 5 cm3/100 g)
and even nitrogen has been detected. Gaseous precipitations can cause the metallic nucleus
deformation and cracks. Chemical reactions of hydrogen with the oxides of the metals can
result in appearance of water bubbles inside the metallic nucleus. The electro-dynamic
interaction determining the shape of the molten ingot and temperature regimes significantly
affects the casting process and should be also taken into account. In general, the thermal
conditions affect greatly the microwire properties, in particular, thermal phenomena inside
the molten ingot under effect of electromagnetic field of the inductor and thermal conditions
related with solidification of cast microwire. Much effort has been made to determine the
temperature distribution inside the ingot and its dependence on the metallic bar
dimensions. It was found that for Cu, increasing the diameter of the bar from 2 to 6 mm
resulted in decrease in temperature inside the ingot by 10-35% (Badinter et al, 1973).
The method allows pure metals such as Ag, Au, Cu, Ni, Sn, Pb, Pt to be used.
Semiconductors such as Ge, Si, or Bi can also be cast. Then, it is possible to process the alloys
of these metals, but not over the whole range of compositions. For example, the content of
Cr in Ni and Co based alloys can be up to 20%, the content of Mo, W, V in Ni, Co, and Fe
based alloys can be up to 8 – 10 at. %. These limitations are related to the melting
temperature, which must not be too high. On the other hand, rare earth metals and metals
which react with the glass and atmosphere (Ti, Cr, Mo, W, Nb, Al, Na, La, Nd) are not
suitable for this technology (Zhukov & Zhukova, 2010; Badinter et al, 1973).
Our prime interest here is the fabrication of magnetic microwires with soft magnetic
characteristics for which Fe, Ni and Co are the main elements in alloys. Soft magnetic
properties are typical for amorphous state. To prepare amorphous microwires such
elements as Si, B, C, and Al are added to enable the amorphicity of the alloys. Mixed
crystalline-amorphous and nanocrystalline-amorphous structure can be also obtained by
thermal annealing of initially amorphous microwires (Vazquez et al, 2011; García et al 2009;
Zhukov et al, 2007; Dudec et al, 2006) as well as in-prepared state using specially designed
mixed compositions like (FeSiB)-Cu, (CoFeSiB)-Cu. These compositions exhibit unusual
magnetic properties with irregular hysteresis loops. Additionally, recently novel
magnetically soft compositions with small additions of Cr based on Ni with ferromagneticparamagnetic phase transitions near room temperature have been introduced (Zhukova et
al, 2009; Zhukova et al, 2006).
Metastable supersaturated solid solutions can be obtained for immiscible metal systems in a
solid and even liquid state, such as Cu-Co, Cu-Co–Ni, Ag-Fe, Ag-Co. As-cast microwire can
exhibit a structure of a supersaturated solid solution of transition metals in Cu or Ag. After
suitable thermal treatments small single domain particles of Co or Fe can precipitate.
Recently giant magnetoresistance (GMR) effect attributed to the scattering of the electrons
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Tuneable Composites Containing Magnetic Microwires
on grain boundaries between ferromagnetic grains and paramagnetic matrix has been
observed in such compositions (Zhukova et al, 2009; Zhukov et al, 2004).
3.2 Magnetic properties of amorphous microwires
It is worth mentioning, that studies of magnetic properties of amorphous glass coated
microwires started even in 70-th (Kraus et al, 1976), although they have been limited to FeNi compositions, measurements of hysteretic properties and ferromagnetic resonance
(FMR). Recently these tiny glass-coated ferromagnetic microwires newly attracted
considerable attention mainly due to a number of unusual magnetic properties and their
potential applications in sensors (Zhukova et al, 2009; Mohri & Honkura, 2007, Ripka, 2001,
Vazquez & Hernando, 1996) and multifunctional composites (Qin et al, 2010; Panina 2009;
Phan & Peng, 2008).
Generally, the magnetic properties including the shape of hysteresis loops of amorphous
microwires depend on the composition of metallic nucleus as well as on the composition
and thickness of glass coating. This can be illustrated by hysteresis loops in Figs. 6 & 7. The
hysteresis loops of three main groups of amorphous microwires: Fe-rich, Co-rich and Co-Ferich with positive, negative and vanishing magnetostriction constant, respectively, show
very different magnetisation reversal process. Figure 6 shows how the shape of hysteresis
loops changes from rectangular typical of amorphous Fe-rich compositions to inclined
typical of Co-rich compositions. The magnetisation loops of amorphous microwires with the
same composition (Co67Fe3.85Ni1.45B11.5Si14.5Mo1.7 in Fig. 7) but with different -ratio defined
as = / ( and
are the metallic nucleus diameter and total microwire diameter,
respectively) also demonstrate significant difference in anisotropy fields. Comparing the
hysteresis loops in Fig.6b and Fig.6c, it can be concluded that the microwires with vanishing
being in
magnetostriction show very soft magnetic behaviour with the anisotropy field
the range of 100-400 A/m, where as the anisotropy field of Co-based wires with negative
can be tuned by changing – ratio.
magnetostriction is about 8000 A/m. The value of
Therefore, magnetic microwires demonstrate large variety of magnetic behaviours which is
important for sensing applications.
Strong dependence of the hysteresis behaviour on the value and sign of the magnetostriction
constant, and on the glass thickness is attributed to the dominant effect of the
in the absence of the crystalline anisotropy:
magnetoelastic anisotropy
=
∙
.
(19)
In (19),
is the saturation magnetostriction,
is the internal stress,
and
are unit
vectors along the stress and magnetization, respectively. The magnetostriction constant
depends mostly on the chemical composition and is as small as 10-7 in amorphous Fe-Co
based alloys with Co/Fe content about 70/5 (Zhukova et al, 2009; Fujimori et al, 1976). The
estimated values of the internal stresses in these glass coated microwires arising from the
difference in the thermal expansion coefficients of metal and glass are of the order of 1001000 MPa, depending strongly on the parameter
and generally increasing with the
increase in the glass coating thickness (Vazquez et al, 2011; Zhukova et al, 2009; Chiriac &
Ovari, 1996).
This allows tailoring the magnetic properties of glass-coated microwires through the change
of magnetic anisotropy by tailoring the internal stresses (by using thermal treatment,
chemical etching, etc.) and chemical composition of the metallic nucleus. As a confirmation,
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the investigations of the effect of the progressive elimination of the glass insulating coating
by chemical etching on magnetic properties showed considerable improvements in soft
magnetic behavior as the thickness of glass coating has been diminished (Garcia Prieto et al,
2000; Catalan et al, 1997).
6
3
(a)
0
M (e.m.u.)10
-4
-3
-6
-800
6
3
-400
0
400
800
0
4000 8000
0
4000 8000
(b)
0
-3
-6
-8000 -4000
2
(c)
0
-2
-8000 -4000
H(A/m)
Fig. 6. Hysteresis loops of thin glass coated Fe-rich (a), C-rich (b) and Fe-Co-rich (c)
microwires. Reprinted with permission from A. Zhukov et al., J. Mater. Res. 15, 2107 (2000).
© 2000, Materials Research Society (Fig. 1).
Two types of microwires distinguished by the sign of the magnetostriction find quite
different applications. Bistable magnetization reversal at
>
(Fe-rich alloys) with
rectangular hysteresis loops is of great interest for magnetic surveillance (Zhukova et al,
2009; Vazquez & Hernando, 1996). Possessing strongly non-linear magnetic properties, such
wires generate specific high frequency harmonics, detection of which may provide
information on the state of environment. Therefore, these wires can be used as local noncontact sensors of stress and temperature within composite material (Ong & Grimes, 2002).
However, our prime interest here is related with wires made of nearly-zero
magnetostriction alloys with good magnetic softness (Co-rich compositions). These wires
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exhibit almost linear and high magnetic permeability, good high frequency properties and
giant magnetoimpedance (GMI) effect . Large number of magnetic sensors was proposed
based on these properties alone, and in particular, based on GMI effect. Typically, for
magnetic sensor applications, the interrogation frequencies are in tens MHz range. Realizing
GMI at GHz frequencies, the wires can be used as embedded sensors within composite
matrix. Therefore, the concept of sensory and tunable microwave composites based on
magnetic microwires was put forward.
1.0
M, (T)
0.5
d=6.6m;=0.42
d=6.8m;=0.5
d=9.8m;=0.53
0.0
d=11.8m; =0.64
d=13.4m;=0.8
d=16.8m;=0.7
d=16.8m; =0.64
-0.5
-1.0
-400
-200
0
200
400
H, (A/m)
Fig. 7. Hysteresis loops of Co67.1Fe3.8 Ni1.4Si14.5B11.5Mo1.7 microwires with different geometry.
Reprinted with permission from A. Zhukov et al., J. Magn. Magn. Mater. 321 (2009) 822–825
Copyright Elsevier B.V (2008) (Fig. 1).
3.3 Giant magneto-impedance effect and enhanced magnetic softness
Since its discovery in 1994 (Panina &Mohri, 1994; Beach & Berkowicz, 1994) the GMI effect
has become a topic of great interest in the field of applied magnetism owing to the large
sensitivity of the total impedance to the applied DC field at low field magnitudes and high
frequencies. Vast literature exists on this topic, and here we mention just few more relevant
to this review (Zhukova et al, 2009; Mohri & Honkura, 2007; Knobel & Pirota 2002). For
practical application, GMI is characterized by the relative change in impedance / :
=
(20)
where
is the value of the external magnetic field where the impedance has a maximum
which typically does not exceed few kA/m. In GMI experiments,
is usually supplied
by a long solenoid or Helholtz coils. It has been recognized that the sensitivity of the
impedance change occurs due to sharp dependence of the circular permeability on axial
magnetic field at a condition of a strong skin effect (see Eq.(18)). Improvements in magnetic
softness allowed the GMI ratio Δ / to be increased up to 600% at few MHz in glass coated
wires (Zhukova et al, 2009; Zhukova et al, 2002), as shown in Fig. 8.
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f=10MHz
600
=0.98
=0.816
=0.789
Z/Z, (%)
400
200
0
0
500
1000
1500
2000
H (A/m)
Fig. 8. Axial field dependence of Δ / measured at =
MHz and current magnitude of
0.75 mA in microwire of composition Co67Fe3.85Ni1.45B11.5Si14.5Mo1.7 with as a parameter.
Reprinted with permission from V. Zhukova et al. “Optimization of Giant
Magnetoimpedance in Co-Rich Amorphous Microwires” IEEE Trans. Magn., V 38, 5 part I,
2002 pp. 3090-3092. Copyright IEEE Magnetic Society (2002). (Fig. 4)
Additionally, stress-impedance (SI) and torsion impedance (TI) effects showing high
sensitivity of the impedance to the applied stress with a strain gauge factor of 2000-4000
have been found in amorphous wires (Zhukova et al, 2009; Zhukov, 2006; Panina et al, 2005;
Tejedor et al, 2001; Shen et al, 1997). For MI sensor applications, a CMOC IC circuitry with
pulse current operation has been developed (Zhukov et al, 2008; Sandacci et al, 2004; Mohri
et al, 2002). As a result, the GMI and SI sensors with the CMOC IC circuitry with
advantageous features comparing with conventional magnetic sensors have been developed
by different companies (Zhukova et al, 2009; Vazquez et al, 2011; Mohri et al, 2001;
Honkura, 2002). Main applications of GMI effect are related with the detection of the
magnetic fields, small weights, vibrations, acceleration, and recently, in microwave sensory
and tunable composites.
Enhanced GMI ratios in amorphous wires were explained by a specific domain structure
existing in negative magnetostrictive amorphous wires (Makhnovsky et al, 2001; Panina
&Mohri, 1994; Beach & Berkowicz, 1994). Negative magnetostriction coupled with tensile
stress creates alternative left and right handed circular domains in the outer sheath of wires.
Such domain configuration was observed in wires produced by various method including
in-rotating water developed by Unitika LTD (Takajo at el, 1993) and in glass-coated
microwires ( Chizhik et al, 2004; Chizhik et al, 2001). Such domain structure preserves even
in wires with very small but negative magnetostriction (Vazquez et al, 2011; Zhukova et al,
2009; Chiriac & Ovari, 1996) and they demonstrate the highest sensitivity of GMI.
Strong influence of the internal stress on the magnetization behavior suggests that the
magnetic structure as well as GMI can be tailored through the heat treatment using
conventional annealing (CA), magnetic field annealing (MFA), or even stress annealing (SA)
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(Zhukov & Zhukova, 2010; Zhukova et al, 2009; Garcia Prieto et al, 2000; Zhukov, 2006). As
expected, the performed heat treatment strongly affects both the hysteresis loops and the
GMI characteristics. Figure 9 shows, that both CA and MFA annealing results in
considerable change in hysteresis loops. Soft magnetic behavior is improved due to stress
relaxation during annealing.
0,8
(a)
0,0
As-cast
CA 30 mA
CA 40 mA
-0,8
0
70
M/Ms
-70
0,8 (b)
0,0
As-cast
MFA 30 mA
MFA 40 mA
-0,8
-70
0
H (A/m)
70
Fig. 9. Effect of CA (a) and MFA (b) treatments on bulk hysteresis loops of Co67Fe
microwires. Reprinted with permission from V.Zhukova et al.,
“Development of Ultra-Thin Glass-Coated Amorphous Microwires for High Frequency
Magnetic Sensors Applications” Open Materials Science Reviews, 2007, 1, 1-12. Copyright
2007 Bentham Science Publishers Ltd. (Fig. 7).
3.85Ni1.45B11.5Si14.5Mo1.7
Figure 10 shows the plots of relative change in impedance vs. field measured for asprepared and annealed Co67Fe3.85Ni1.45B11.5Si14.5Mo1.7 microwires subjected to Joule heating
for different annealing time (annealing current 30 mA and 40 mA). As can be seen, the value
of Δ / strongly decreases at zero field resulting in much larger impedance change ratios
due to annealing. However, the value of
also increases due to annealing.
One of the most important effects occurring due to stress annealing is enhancement of stress
sensitivity of magnetic properties and stress- impedance (Zhukov & Zhukova, 2010;
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Zhukova et al, 2009; Garcia Prieto et al, 2000; Zhukov, 2006). In particularly, it was
demonstrated, that stress annealing, performed at certain annealing conditions results in
induction of stress-sensitive transverse magnetic anisotropy and observation of significant
(up to 60%) stress-impedance effect (Zhukov, 2006; Zhukova et al, 2003), as shown in Fig. 11.
This result is of special interest for developing stress-sensitive composites with the use of
magnetic microwires. The origin of this creep annealing induced anisotropy has been
attributed to redistribution of the residual stresses during the stress annealing which results
in drastic decrease in the longitudinal stress component and even in the appearance of the
compressive longitudinal stresses (so-called “back stresses”).
500
(a)
400
300
200
as prepared
2 min
4 min
10 min
100
Z/Z(%)
0
-200
500
-100
0
100
200
(b)
400
300
200
10 min
4 min
2 min
as-prepared
100
0
-200
-100
0
100
200
H(A/m)
Fig. 10. Relative impedance change plots vs. external field measured at =
MHz and
current of 1 mA in microwire subjected to CA annealing at 30 mA (a) and at 40 mA (b).
Reprinted with permission from A. Zhukov “Recent research on magnetic properties of
glass-coated microwires” J. Magn. and Magn., Mater. 294 (2005) 182-192. Copyright Elsevier
(2005). (Fig. 8).
Typically, the Curie temperature of Fe and Co-rich amorphous microwires is about 300-400
C. Additions of Ni and Cr in the alloys make it possible to substantially decrease the Curie
temperature (Trémolet de Lacheisserie, et al 2005, Zhukova et al 2006, Zhukova et al 2007).
For example, the Curie temperature between 75 and 90 C was reported for microwires with
composition Co60.51Fe3.99Cr12.13B13.53Si9.84 and Co23.67Fe7.14Ni43.08B13.85Si12.26. This suggest a
potential to develop magnetically soft microwires showing large temperature dependence of
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magnetization, anisotropy, magnetic permeability etc. (Fig.12) and, hence, GMI effect. Then,
the microwires would be suitable for remote temperature detection in the range of moderate
temperatures from room temperature to about 400 oC.
60
50
Z/Z(%)
40
30
20
10
0
0
100
200
300
400
(MPa)
Fig. 11. Stress impedance effect in stress annealed Fe74B13Si11C2 glass-coated microwire
measured at 10 MHz and driving current amplitude of 2 mA. The annealing conditions are:
468 MPa at 275oC for 0.5h for. Reprinted with permission from A. Zhukov et al. “Design of
the Magnetic Properties of Fe-Rich, Glass-Coated Microwires for Technical Applications”
Adv. Funct. Mater. 2006, 16, 675–680. Copyright WILEY-VCH (2006). (Fig. 6)
60
a.u.
40
20
0
0
20
40
60
80
100
o
T ( C)
Fig. 12. Temperature dependence of permeability (given in arbitrary units) measured in
Co60.51Fe3.99Cr12.13 B13.53Si9.84 microwire. Reprinted with permission from Ref. [193], V.
Zhukova et al. “Development of thin microwires with low Curie temperature for
temperature sensors applications” Sensors and Actuators B 126 (2007) 318–323 Copyright
Elsevier (2007). (Fig. 4)
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The developed magnetic field, stress, and temperature -sensitive microwires have been
proposed for completely new range of applications as constituent elements of wirecomposites for tunable microwave systems, and non-destructive remote control of stress,
strain and temperature (Panina et al, 2011; Makhnovskiy et al, 2006; Makhnovskiy & Panina,
2005). The wires can be regarded as embedded sensors and their impedance sensitive to the
wire magnetic structure will be responsible for producing a controlled microwave dielectric
response, as explained in Section 2. This will be demonstrated in the next Section, where the
experimental results on the microwave scattering spectra of magnetic wire composites are
discussed.
4. Scattering properties of glass-coated magnetic wire composites.
4.1 Free space experimental method for composite characterization
The material parameters in microwaves frequencies usually are found from the
measurement of the reflection and/or transmission coefficients from which the complex
permittivity and permeability are calculated. The measurement methods can be divided in
two categories: (i) transmission line methods (coaxial lines probes, rectangular waveguides,
cavity resonators) and (ii) antenna techniques in free space. The methods in the first
category require cutting a piece of a sample to be placed inside the transmission line or
cavity making a close contact with the probe. The transmission line methods work best for
homogeneous materials that can be precisely machined to fit inside the sample holder.
At microwaves, the measurement of the effective permittivity of composite materials with
the inhomogeneity scale comparable with the wavelength requires large sample dimensions.
In this case, the method of spot localized measurement area, such as conventional coaxial
line and waveguide methods cannot be used. A free-space method is more appropriate.
Generally, it is used to characterize large flat solid materials, although granular and
powdered materials can also be measured in a fixture.
Free-space techniques for material property measurements have several advantages (Chen
et al, 2004). Firstly, materials such as ceramics and composites are inhomogeneous due to
variations in manufacturing processes. Because of inhomogeneities, the unwanted higherorder modes can be excited at an air-dielectric interface in hollow metallic waveguides,
while this problem does not exist in free-space measurement. Secondly, the measurements
using free-space techniques are non-destructive and contactless, so free-space methods can
be used to measure samples under special conditions, such as high temperature. Thirdly, in
hollow metallic waveguide methods, it is necessary to machine the sample so as to fit the
waveguide cross section with negligible air gaps. This requirement limits the accuracy of
measurements for materials that cannot be machined precisely; in free-space method, this
problem does not exist. Finally, waveguides have a rather narrow operating frequency
range. Therefore, to characterized material in a wide frequency range, a number of
waveguides is required. Moreover, every waveguide, having different cross-section, will
required preparation of separate sample.
Further we consider the free space method for measurement of the electromagnetic
parameter of the composites as the most suitable for both laboratory investigation and in
situ non-destructive testing and remote structural health monitoring. In free space method,
materials are placed between antennas for a non-contacting measurement allowing much
flexibility in studying materials under different conditions such as high temperatures and
hostile environments. A key component of any free space system is antenna that is a
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transition element between transmission line and free space radiating and/or receiving the
electromagnetic energy into/from free space.
The experimental setup for the reflection/transmission microwave free-space measurements
basically consists of vector network analyzer (VNA), a pair of broadband horn antennas and
an anechoic chamber as shown in Fig. 13. A composite sample is placed in the middle of the
chamber with the wire orientation along the electric-field of the incident electromagnetic
wave. The desired frequency range, in which the scattering parameters will be investigated,
determines the requirements to the operating frequency of the VNA, antennas and to the
chamber size (distance between antennas and sample). The lens can be applied to focus the
radiation pattern and minimize the effect of sample boundaries and measuring
environment. It is essential to place the sample outside the reactive near-field region where
the wave is not polarized and the electromagnetic interaction between the sample and the
antenna can arise. The reactive near-field terminates at the distance of the order of
wavelength from antennas.
DC power
supply
network
analyzer
composite
sample
planar coil
anechoic
chamber
Fig. 13. Sketch of the free space microwave measurement setup.
Free space method imposes a limit on the minimal sample size. If the sample size is much
smaller than the wavelength, the response of the sample to electromagnetic waves will be
similar to those of a particle object. To achieve convincing results, the size of the sample
should be larger than the wavelength of the electromagnetic wave. To further minimize the
effects of the scatterings from the sample boundary, the sample size should be at least twice
larger than the wavelength (Chen et al, 2004). Therefore if the lowest measurement
frequency is 1 GHz, then the sample size should be 2 = 60 cm.
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The free space technique requires precise calibration. The Thru-Rreflect-Line (TRL) and
Thru-Reflect-Match (TRM) calibration techniques, that were commonly used until recently,
are being widely replaced with the Gated Reflect Line (GRL) calibration (Bartley & Begley,
2005). The GRL calibration, based on the time domain gating, allows enhancing the
calibration accuracy and elimination of the the need for expensive spot focusing antennas
and micro positioning fixturing. Time-domain technique is important not only for
calibration of the free-space measurement path but also during the measurements as it
makes it possible to effectively eliminate the effects of multipath reflection to which the
measurements in free-space are subjected. The main source of the reflection is the inevitable
mismatch between the antenna and free space. The other error sources such as reflection
from chamber’s walls and noise could be also essential. The time domain procedure "gates
out" these error terms and also reduces the requirements for the quality of the anechoic
chamber or even allowing conducting the measurements without the chamber.
The free space setup, shown in Fig.13 is applied for the wire composite characterisation. It
consists of Agilent 0.01 – 20 GHz two port VNA with time domain option, two broadband
horn antennas with the operating range 0.9 – 17.0 GHz and the anechoic chamber with
dimensions 80 x 80 x 80 cm3 covered inside with a microwave absorber. The composite
sheets are placed at a distance of 40 cm from each horn antenna, appearing in the radiating
near-field region in the whole range of operating frequencies. 85071E Material Measurement
Software (Agilent) and “Reflection/Transmission Epsilon Fast Model” can be used for
calculating the complex permittivity of the composites from the experimental S-parameters.
To study the influence of magnetic field on the dispersion characteristics of the composite
samples a special planar magnetic coil was constructed as described in (Makhnovskiy et all
2006). A thin planar composite sample is placed inside the magnetic coil so that the
microwires were along the direction of magnetic field. The coil having the field coefficient
90 [A/m]/A creates a homogeneous along the sample surface DC magnetic field. A 35
Ampere Agilent 6674A DC power supply is used to feed the coil and permits to reach the
magnetic field as high as 3000 A/m with resolution below 1 A/m. The coil turns are set
perpendicular to the electrical field so there is no effect of the coil on scattering.
In a simple way, the wire composites can be prepared by gluing them on paper to form
wire-lattices of needed dimensions. Firstly, 1D wire-lattices of plasmonic type with
continuous wires (as shown in Fig. 1a) are arranged. Composites with short- wire pieces
forming ordered electrical dipoles (seen in Fig. 1c) could be obtained by cutting the
continuous wire arrays in stripes of different size to be able to change the dipole resonance
frequencies. The wires used for these experiments were glass coated microwires of the
composition Co66Fe3.5B16Si11Cr3.5, with magnetic core diameter of 20 microns. These wires
have small but negative magnetostriction and show GMI in the range of 100% at few GHz
(Panina et al, 2011).
4.2 Tunable scattering spectra
Figure 14 shows the spectra of the reflection
and transmission
for composites with
continuous wires having spacing = cm with the magnetic field
as a parameter. The
relative change of T (Figure of Merit
=
−
/
) is about 25% at 1.8 GHz
while the phase of transmission shifts about 40 degrees with the field change from 0 to 500
A/m. Figure 15 shows the absorption parameter = −
−
, which changes by 4
times from 10 % to 40 %.
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(a)
(b)
Fig. 14. Spectra of R and T for composites with continuous wire arrays with
parameter.
0,5
Hex, A/m
0
100
500
0,4
Absorption
as a
0,3
0,2
0,1
0,0
1
2
3
4
5
6
7
8
Frequency, GHz
Fig. 15. Absorption spectra for composites with continuous wire arrays
as a parameter.
The permittivity spectra shown in Fig. 16 were calculated from
and coefficients. The
effective thickness was taken equal to the lattice period although the real composites
thickness is much smaller and is defined by the host matrix thickness. The real part of
has a negative value below the plasma frequency which is equal to 4.7 GHz. Application of
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the field decreases the value of the real part (compare with theoretical plots shown in Fig. 4)
as the wire impedance increases and so does the relaxation. The imaginary part of the
permittivity, that directly demonstrates the losses or absorption, increases with the field.
This results in reduced transmitted and reflected signals.
Fig. 16. Effective permittivity spectra for composites with continuous wire arrays with
as a parameter.
The R and T spectra for the cut-wire composites with different wire length l of 40, 20 and 10
mm are shown in Fig. 17. The transmission spectra have a deep minimum near a resonance
2
1
3
2
1
3
(b)
1
(a)
2
3
1
2
3
Fig. 17. Spectra of R and T of composites with cut wires of length 40 (1), 20 (2) and 10 (3)mm
with the field as a parameter.
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demonstrating stop-filter behaviour. The magnitude of this minimum depends strongly on
the field for longer wires with lower resonance frequency. For 40 mm long-wire composites,
FOM = 102 % at 3.57 GHz and for 20 mm long wires FOM=57% at 6.18 GHz. For shorter
wires with the dispersion region at a higher frequency band the field dependence is not
noticeable since the wire ac permeability is nearly unity and the impedance becomes
insensitive to the magnetic properties, as explained in Section 2. The phase of transmission
component exhibits a phase reversal and negative grope delay in the stop band region.
Fig. 18 shows the real and imaginary parts of the effective permittivity. For making
comparison between the two composites, the calculation of the effective permittivity was
done with the same effective thickness of 1 cm. The frequency where the real part of the
permittivity is zero depends on the external magnetic field which can be useful for
constructing tunable Epsilon-Near-Zero materials.
1
1
2
3
3
2
Fig. 18. Effective permittivity spectra for composites with cut wires of length 40 (1), 20 (2)
and 10 (3)mm with the field as a parameter
5. Applications
Ferromagnetic microwire based composites with tuneable electromagnetic characteristics
represents a new technology with potentially wide applications. These composites gain
additional functionalities while their mechanical properties (mechanical strength,
geometrical dimensions, weight, density and other) are defined by the host material matrix
and not altered by the inclusion as they are thin and their concentration is very small, less
than 0.01% for electric composites. As the wire is very inexpensive to manufacture, the
overall composite cost keeps almost unchanged.
The potential applications for composite based on microwires with large and sensitive
magneto-impedance effect can be divided in two categories. In the first one, the MI effect in
wires is used to control the composite’s electromagnetic characteristics. The application of a
magnetic field or other stimuli will cause change in reflection, transmission and absorption
in the composite material. For example, an “active microwave window” can be realized, the
state of which can be changed from transparent (open) to opaque (close) for the microwaves.
Other applications are transmission signal modulation, deferent frequency selective surfaces
and reconfigurable absorbers.
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The second category includes different sensing applications that use a high sensitivity of the
wire impedance to external stimuli. They include non-destructive testing and structure
health monitoring for detection of invisible structural damages and defects, monitoring
stress concentrations and temperature distribution. The measurement can be conducted in
the waveguide and in the free-space. The later being a non-contact remote method is of
special interest as it allows in-situ health monitoring of objects such as infrastructure
(bridges, buildings, etc.), pipeline and pressure vessels.
As the permittivity
depends on the wire surface impedance (see Eq.( 14) for the
relaxation parameter), which in turn is a function of the magnetic permeability of the wire
.
(Eg.(18)), then any physical phenomenon that affects the permeability will affect
Applying a stress or a torque to amorphous wires causes the change in the wire transverse
magnetisation and very large variations in impedance (SI) (Garcia et al, 2005). At GHz
frequencies, however, sensitive SI effect requires a special magnetic anisotropy (Panina et al,
2005; Makhnovsky et al, 2006). For example, in the case of negative magnetostrictive wires
the anisotropy should be nearly axial (customarily, it is circumferential). Only in this case
the applied tensile stress may produce large effect on impedance through the change in
static magnetisation direction (see Eq. (18)). Such reverse anisotropy can be induced by
special stress-annealing as explained in Section 3. The SI effect is promising for constructing
composites with stress-sensitive dispersion of
. The stress applied to the composite
matrix will be transmitted to each wire inclusion through matrix strain. As reported in
(Sandacci et al 2005, Panina et al, 2005), the application of the tensile stress resulted in
increase of the impedance up to 100% at GHz frequencies. In (Makhnovskiy et all 2006) the
stress sensitivity of composite media containing amorphous microwires was demonstrated
experimentally.
The magnetic structure and GMI of the ferromagnetic wires can be made highly
temperature dependent for moderate temperature regions (50-200 C) that gives a possibility
to construct the composites with thermally tuneable microwave response and can find
applications in remote temperature monitoring by free-space method, e.g., for composite
curing control. The high sensitivity to the temperature can be achieved in the vicinity of the
compensation point where the magnetostriction changes its sign. Thus, in Fe73Cu1Nb3Si16B6
nanocrystalline alloy the compensation point existing due to high volume fraction of bccFeSi is about 170 C (Hong Duong et al. 1996). The magnetisation of wires produced from
such alloy will change from axial to circumferential direction when the temperature is
increased beyond the compensation point resulting in decrease in the high frequency
impedance.
The other approach to realise temperature sensitive composites is based on the
. This transition is
ferromagnetic-paramagnetic transition at Curie temperature
characterized by the drastic change of properties such as magnetization, magnetic
susceptibility, anisotropy etc. It could be expected that GMI ratio will also change near ,
constituting basis for remote temperature detection. The addition of Ni and Cr in Co/Fe
amorphous alloy systems results in a decrease in
down to the room temperature (See
Section 3). In this way a wide variety of temperature-sensitive composites based on
ranging between the room temperature and 400 C can be realized.
microwires with the
At approaching
, the magnetisation saturation
scales with
− /
and the
magnetostriction scales as
. It will result in increase in the initial rotational permeability
proportional to the ratio of the magnetisation and magnetostrictive anisotropy field.
However, high frequency properties will deteriorate. Then, the high frequency impedance
is expected to decrease near the Curie temperature.
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455
In both proposed approaches, the decrease in the wire impedance as the temperature
increases produces substantial changes in the frequency dispersion of the effective
permittivity and scattering parameters from such composites. For example, in the case of cut
wire composites, the resonance type dispersion of the permittivity and band gap
propagation regimes will become more pronounce with increasing temperature. These
investigations require modification of the microwave setup such as a construction of special
thermo chamber which is quite realistic to be realised.
6. Conclusion
Here we have discussed the electromagnetic properties of composites with magnetic wires
showing giant magnetoimpedance effect. A striking property of these materials is that the
spectra of the effective electromagnetic parameters (permittivity and permeability) can be
actively tuned by applying an external magnetic field. Similar effect could be achieved with
proper wire systems by applying a stress or changing a temperature. To realize large
tunability, the magnetic wires need to possess a rather unique magnetic structure.
Technology of glass coated amorphous and nanocrystalline microwires allows the
fabrication of continuous wires having various helical magnetic configurations sensitive to a
particular magnetic or mechanical stimuli. It is also possible to vary the Curie temperature
of magnetic microwires for temperature sensitive behavior.
The magnetic wire composites may either change the electromagnetic response in a
desirable way or provide information about the material’s properties (stress, strain,
temperature). Then, they can be used as free space filters for secure wireless systems to
obtain the desired band-pass or band-gap result or as sensory materials for non-destructive
tests. The overall technology of magnetic wire composites is cost-effective and is suitable for
large-scale applications.
7. Acknowledgment
This work was supported by EU ERA-NET programme under projects
“DEVMAGMIWIRTEC” (MANUNET-2007-Basque-3) and “SoMaMicSens” (MANUNET2010-Basque-3), by EU under FP7 “EM-safety” project and by Spanish Ministry of Science
and Innovation, MICINN under Project MAT2010-18914.
8. References
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device controlled by a weak magnetic field using ferromagnetic laminations.
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Agilent
85071E
Materials
Measurement
Software
Available
from
www.agilent.com/find/materials.
Badinter, E.Ya.; Berman, N.R.; Drabenko, I.F.; Zaborovsky, V.I.; Zelikovsky, Z.I. & Cheban,
V.G. (1973) Cast micwories and its properties, Shtinica, Kishinev, USSR.
Barlevy, A. & Rahmat-Samii, Y. (1999). Control of Resonant bandwidth in frequency
selective surfaces by tilting the periodic elements. Microwave and Optical
Technology Letters, Vol. 21, No. 2, April 1999, pp. 114-117, ISSN 0895-2477
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Metal, Ceramic and Polymeric Composites for Various Uses
Bartley P. & Begley S., (2005). Improved Free-Space S-Parameter Calibration, Proceedings of
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Metal, Ceramic and Polymeric Composites for Various Uses
Edited by Dr. John Cuppoletti
ISBN 978-953-307-353-8
Hard cover, 684 pages
Publisher InTech
Published online 20, July, 2011
Published in print edition July, 2011
Composite materials, often shortened to composites, are engineered or naturally occurring materials made
from two or more constituent materials with significantly different physical or chemical properties which remain
separate and distinct at the macroscopic or microscopic scale within the finished structure. The aim of this
book is to provide comprehensive reference and text on composite materials and structures. This book will
cover aspects of design, production, manufacturing, exploitation and maintenance of composite materials. The
scope of the book covers scientific, technological and practical concepts concerning research, development
and realization of composites.
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