Progress In Electromagnetics Research B, Vol. 94, 75–103, 2021
A Review of Metasurface-Assisted RCS Reduction Techniques
Akila Murugesan1 , Krishnasamy T. Selvan1, * , Ashwin K. Iyer2 ,
Kumar V. Srivatsav3 , and Arokiaswami Alphones4
Abstract—This review discusses the evolution of the various radar cross-section (RCS) reduction
techniques, with an emphasis on metasurfaces. The paper first introduces the terms RCS and RCS
reduction and then discusses conventional and modern techniques to reduce RCS. The two main
strategies used are scattering and absorption. The traditional methods of shaping and Radar Absorbing
Material (RAM) are first briefly reviewed, followed by an extensive review of metasurface-based RCS
reduction. RCS-reducing metasurfaces have the unique characteristics of acting as scatterers and
absorbers. They are also described with regard to their passive and active configurations. The paper
discusses RCS reduction techniques with respect to profile, bandwidth, angular stability, polarization
sensitivity, design complexity, and cost-effectiveness. A comprehensive comparison chart based on the
performance parameters such as bandwidth, size and angular stability is tabulated for the different
types of metasurfaces. The review also details areas that require further investigation.
1. INTRODUCTION
The IEEE dictionary [1] defines RCS as 4π times the ratio of the power per unit solid angle scattered in
a specified direction to the power per unit area in a plane wave incident on the scatterer from a specified
direction. The RCS of a target depends on the frequency and polarization of the electromagnetic wave
and its angle of incidence, as well as on the geometry, material properties, and shape of the target itself.
RCS is classified as either monostatic or bistatic based on the transmitter and receiver positioning, as
described in Figure 1. Monostatic corresponds to the measure of RCS when the transmitter and receiver
are at the same location. In the case of bistatic, the transmitter and receiver are placed at different
locations.
RCS reduction refers to reducing the visibility of the target by radar. Ideal RCS reduction refers
to the non-detectability of the target regardless of the incident wave’s frequency, angle of incidence,
or polarization. However, such ideal RCS reduction is not practically realizable. An RCS reduction of
10 dB is usually considered adequate for practical purposes [2]. Obtaining a 10 dB RCS reduction for
any target corresponds to a 90% reduction in the radar cross-section. Enhancing the RCS reduction
bandwidth has been the subject of intense focus in recent times.
RCS reduction of targets is essential in civil and military applications. Military application of RCS
reduction in stealth has its root in World War I, where cellulose-based material was used to reduce the
detectability of military weapons and aircraft. In World War II, a wooden covering was used to obtain
low observability of the Horten 229 V3 aircraft [3]. High dielectric constant materials were also used.
The Russian scientist PyotrUfimstev [4] proposed an approximate method to calculate the scattering
of electromagnetic waves from different objects. Researchers from Lockheed Martin used his ideas to
Received 14 August 2021, Accepted 3 October 2021, Scheduled 8 November 2021
* Corresponding author: Krishnasamy T. Selvan (
[email protected]).
1 Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam 603110, Chennai, India.
Alberta, Canada. 3 Indian Institute of Technology, Kanpur 208016, Uttar Pradesh, India.
Singapore.
2
4
University of Alberta, Edmonton,
Nanyang Technological University,
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Murugesan et al.
Figure 1. Monostatic and bistatic RCS.
develop the stealth aircraft SR-71 [5]. This spy plane had an unusual shape and was coated with
absorptive paint, thereby reducing the RCS.
Two fundamental mechanisms used to achieve RCS reduction are scattering and absorption.
Scattering deflects the incident signal away from the radar, while absorption dissipates all or part of the
incident wave in an absorbing layer. Shaping is one method that works via the scattering mechanism,
while radar-absorbing material (RAM) works via absorption. Both methods have been in use since
stealth technology evolved, but in recent times metasurfaces have become ubiquitous in this area owing
to their superior characteristics. A metasurface is a periodic or aperiodic array of subwavelength
resonant scatterers that influence the electromagnetic response of the surface [6]. The fundamental
blocks of the metasurface are the subwavelength scatterers that change the magnitude, phase, and
polarization of the incident wave. Appropriate design of the subwavelength scatterers and their
placement in the array yields the desired outcomes, paving the way for a variety of applications. Several
review papers such as [7–12] and [13] have comprehensively discussed metamaterials/metasurfaces
(MTM/MTS) and their applications. Metasurfaces used for RCS reduction can be based on both
scattering and absorption. A critical review of RCS-reducing metasurfaces is provided in this paper, in
addition to a brief discussion of the conventional methods of shaping and radar-absorbing materials.
The various approaches proposed for RCS reduction in the literature can be brought under either
one of the two broad categories, namely scattering and absorption. Therefore, this article will examine
these two categories and elaborate on the traditional and the current technology of reducing RCS within
each subcategory. As the main focus of the paper is on metasurfaces, the classification section briefly
discusses the traditional methods of reducing RCS.
This paper is structured as follows. Section 2 discusses the applications of RCS reduction. In
Section 3, a comprehensive classification of RCS reduction approaches is provided, along with a brief
overview of the traditional methods. Scattering-based metasurfaces are discussed in Section 4, while
absorption-based metasurfaces are discussed in Section 5. Section 6 identifies topics that require further
examination, and Section 7 concludes the paper.
2. APPLICATIONS OF RCS REDUCTION
Radars are used in a wide variety of applications. They are used to track aircraft and ships, detect
insects [14] and animals, measure automobiles’ speed [15], and predict weather conditions. RCS is the
measure of the electromagnetic signature of an object measured using radars. Though detectability of
Progress In Electromagnetics Research B, Vol. 94, 2021
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the objects is essential in specific scenarios such as intelligent vehicular navigation, track aeroplanes and
ships, there are certain situations where the objects should have low detectability. These are mentioned
below.
(i) One application of RCS reduction is in aircraft hangars [16]. Aircraft hangars are parking
decks of aircraft. When located near airports, the signal reflected from the hangars interferes with the
aircraft’s navigation signals. Hence RCS reduction of hangars is essential.
(ii) Military stealth is another critical application of RCS reduction. The stealth aircrafts’ and
ships’ RCS have to be reduced to prevent them from being attacked by the adversaries.
(iii) Reducing the RCS of antennas mounted in the aircraft and ship is an important application
area. The antennas increase the RCS and thereby improve the visibility of the aeroplanes and ships
used for stealth [17]. Therefore, it is essential to design the RCS reducing structures without affecting
the radiating characteristics of the antenna.
3. CLASSIFICATION OF RCS REDUCTION TECHNIQUES
A broad classification of the different RCS reduction techniques is depicted in Figure 2. Scattering and
absorption are the two fundamental techniques to reduce RCS, with the conventional methods being (i)
shaping of the target and (ii) the use of RAM over the target. In recent times, metasurfaces have been
widely researched for RCS reduction. Metasurfaces have the unique characteristic of being realizable
both as scatterers and as absorbers. While metasurfaces are the primary focus, the conventional methods
of shaping and RAM are briefly discussed in this section for completeness.
RCS Reduction Techniques
Scattering
Shaping
Metasurfaces
Absorption
RAM
Absorptive
Metasurfaces
Figure 2. Classification of RCS reduction techniques.
3.1. Shaping
This type of RCS control is effective against most monostatic radars [18]. The two distinct ways
of shaping explained in [19] to reduce the target RCS are (i) implementing a compact, smooth,
blended external geometry and (ii) employing a faceted configuration to minimize reflections back to the
illuminating radar. In [20], a low RCS value was obtained in the frontal aspect by maintaining a smooth
curved shape. The Machan, an uncrewed aircraft developed in 1981, had reduced detectability owing
to its diamond-shaped fuselage cross-section; the lower surface of the mainplane was flat to minimize
glint. Optimization-based approaches to shape the target are discussed in [21] and [22].
The limitations of shape-based RCS reduction are that it is only effective for incident waves over
a limited bandwidth [23] and over certain angles of incidence. Bandwidth can be improved using
sophisticated gradient shapes. However, such intricate designs cannot be implemented for targets such
as planes and ships due to aerodynamic and hydrodynamic requirements, which could affect the target’s
internal volume and stability [23].
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3.2. Radar-Absorbing Materials (RAM)
RAM, another traditional method to reduce RCS, can be modelled based on one of the two
functionalities [24]: (i) impedance matching and (ii) resonance.
3.2.1. Impedance-matched RAM
The three types of impedance-matching RAMs are pyramidal, tapered, and matched. In [25], wideband
microwave pyramidal absorbers for a semi-anechoic chamber are presented, as shown in Figure 3(a). A
tapered RAM uses a slab composed of a low-loss material mixed with a lossy material homogeneously
dispersed parallel to the surface. These materials convert the incident radar energy into heat. The
stealth aircraft Lockheed F-117 Nighthawk [26] uses a tapered RAM made of carbonyl iron balls
suspended in epoxy resin to reduce its RCS. The matching layer absorber [27] places a transitional
absorption layer between the incident and absorbing media, as shown in Figure 3(b). The thickness
and impedances of the transition layer are between the two impedances that must be matched. This
matching occurs when the thickness of the matching layer is one-quarter of the wavelength of the
radiation in the layer, which makes them narrowband absorbers.
(a)
(b)
Figure 3. (a) Pyramidal absorbers and (b) matched layer absorbers redrawn based on [24].
3.2.2. Resonant RAM
Resonant RAM is also known as a tuned or quarter wavelength absorber. Here, the impedance is
not matched between the incident and absorbing media. The configuration results in reflection and
transmission at the first interface. The reflected wave at the first interface experiences a phase shift of
π, while the transmitted electromagnetic wave travels through the absorbing medium and is reflected
from the metal backing. This second reflection results in a phase reversal of π and the distance travelled
introduces a phase of π before the wave propagates back to the incident medium. This results in
destructive interference between the two reflected waves, thereby resulting in reduced RCS. Salisbury
screen absorbers [28] and Jaumann absorbers [29] are the two types of resonant RAM and are depicted
in Figures 4(a) and 4(b). Though RAMs are reasonably effective, they are usually thick, expensive,
and provide RCS reduction only over a narrow bandwidth. Bandwidth enhancement is achieved by
increasing the bulkiness of the structure, making it less suitable for practical implementation.
A metasurface-based approach appears to be a more effective alternative to the traditional RCS
reduction methods. The rest of the paper discusses the different kinds of metasurfaces used for RCS
reduction.
4. RCS REDUCTION BASED ON SCATTERING METASURFACES
Metasurfaces are periodic structures using unit cell elements that are designed to vary the reflection
magnitudes and phases of the incident wave. Positioning these unit cells or microcells in different
Progress In Electromagnetics Research B, Vol. 94, 2021
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(b)
Figure 4. (a) Salisbury screen absorber and (b) Jaumann absorber redrawn based on [24].
configurations or patterns generates macrocells or tiles. An array of these macrocells or tiles, arranged
in various ways, comprise the metasurface. The metasurface function depends on the element geometry,
arrangement of the unit cells and, in turn, the tile positioning. Based on the functional operation
of the metasurface, this paper classifies metasurfaces as (i) phase gradient metasurfaces (PGMS), (ii)
checkerboard metasurfaces (CMS), (iii) polarization conversion metasurfaces (PCMS), (iv) coding-based
metasurfaces (COM), (v) reconfigurable metasurfaces (RMS), and (vi) time-varying metasurfaces. The
first four are passive methods, while the last two are active ways of reducing RCS.
All the different forms of metasurface share the common concept of manipulating the wavefront,
which can be explained using Huygens’ metasurface and bianisotropic metasurfaces. The Huygens’
metasurface synthesizes impedance and admittance surfaces in order to refract or reflect an incident
plane wave at certain angles. This is discussed in [30, 31], and [32]. This method can be used to
design any of the different types of metasurface for RCS reduction applications. A synthesis procedure
to design omega-bianisotropic metasurfaces (O-BMSs) was reported in [33] that uses the auxiliary
modes guided between the PEC and the O-BMS to obtain the surface parameters. The surfaces thus
synthesized reflect the incident plane waves in a desirable direction which can be used for RCS reduction.
Polarization conversion-based metasurfaces can also be synthesized using the procedure reported for
Huygens’ metasurface and bianisotropic metasurfaces [34, 35]. From [28–33], it is observed that Huygens’
metasurface and bianisotropic metasurfaces can be realized in any of the forms of metasurface classified
above for RCS reduction.
In what follows, each of the metasurface types is discussed in detail. The discussion covers working
mechanisms and advances in the field of RCS reduction.
4.1. Phase Gradient (Graded Index) Metasurfaces
The PGMS for RCS reduction works on the principle of anomalous reflection and conversion of
propagating wave to surface wave. This section first discusses the working mechanism of PGMS based
on the generalized Snell’s law and then reviews the different metasurfaces reported for RCS reduction.
Although the basic concept behind the functioning of PGMS can be traced to diffraction gratings,
it became well known only after the proposal of the generalized Snell’s law in [36]. According to the
generalized Snell’s law, a surface with phase discontinuity deflects the signal away from the specular
direction as per the following expression:
λ0 dϕ
(1)
2π dx
where nt and ni are the refractive indices of the two media; λ0 is the free-space wavelength; dϕ is the
phase difference between the adjacent cells; and dx is the spacing between the elements. A pictorial
representation of the generalized Snell’s law is shown in Figure 5. A vital design feature of a PGMS
is that the elements used to design it should only span the 2π phase range based on expression (1).
sin (θt ) nt − sin (θi ) ni =
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Figure 5. Schematic to derive the generalized Snell’s law of refraction, redrawn based on [36].
This concept was practically demonstrated using v-shaped nanoantennas [36]. The basic building block
of these PGMSs is the element that alters the reflection phase and magnitude of the incident wave.
Elements with varying phases are arranged in a gradient fashion to form a tile; these tiles are repeated
to obtain the phase gradient metasurface. When the elements used to construct the metasurface are
designed to span the 2π phase range over a wide bandwidth, wideband RCS reduction is attained. The
challenge of creating broadband elements is the dependency of the size of the unit cell to that of the
operating frequency range.
Graded index structures reduce the specular reflection in two ways: (i) anomalous reflection [37],
and (ii) converting the propagating wave (PW) into surface waves (SW) [38]. Using low-Q metasurfaces,
[39] reported a 40% reduction in RCS bandwidth. Split-ring-based PGMS, as explained in [40], reduces
the RCS by using both surface wave conversion and anomalous reflection. This feature has resulted in
a bandwidth enhancement of up to 74%.
The working mechanism is discussed as follows.
Let ki be the wavenumber of the incident signal and kr be the wavenumber of the reflected signal.
The phase deviation along the x and y axes are ∇φx and ∇φy , respectively, while kix and kiy represent
the x and y components of the incident wave vector. The two cases occur under the following conditions:
(i) kr > ki , the reflected waves lie along the PGMS plane, as shown in Figure 6(a). The in-plane
direction of the coupled surface waves is
)
(
Kiy + ∇φy
(2)
ϕ = arctan
Kix + ∇φx
(ii) kr < ki , anomalous reflection occurs as shown in Figure 6(b). The reflected angle is
√
(∇φx + kix )2 + (∇φy + kiy )2
θr = arcsin
ki
)
(
Kiy + ∇φy
ϕr = arctan
Kix + ∇φx
(3a)
(3b)
Researchers later reported a variety of elements featuring a wide bandwidth configured in a gradient
fashion. In addition to wide bandwidth, a 25◦ wide-angle response was reported in [41] using a windmillshaped element. An ultra-thin hybrid PGMS was reported in [42], reducing the RCS in two frequency
bands at 8.7 GHz and 11.4 GHz. A wideband and a wide-angle RCS reduction PGMS was reported
in [43], where the phase gradient was based on the Pancharatnam-Berry phase and used a circularly
polarized illuminating wave. A cost-effective metasurface presented in [44] considered both the reflection
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81
(b)
Figure 6. Two anomalous effects of 2D reflective PGMS illuminated by electromagnetic waves: (a)
surface-wave coupling and (b) anomalous reflection redrawn based on [40].
amplitude and phase in the design, resulting in a much wider bandwidth of 128% and a wide-angle of
up to 60◦ .
All the above-discussed works reduce the RCS of flat metal targets, whereas it is also used to reduce
the RCS of antennas. RCS reduction of a slot array antenna using PGMS was reported in [45]. The
antenna’s operating frequency band was 4.1–4.26 GHz, while the RCS reduction was observed over the
frequency range of 7–16.8 GHz. This configuration is called out-of-band because the RCS reduction and
antenna operation are in two different bands. The PGMS reported in [45] is shown in Figure 7.
(a)
(b)
Figure 7. PGMS. (a) Geometry of the 2D PGMS, and (b) normalized monostatic RCS reduction with
respect to a perfect electric conductor plate [45]. Reproduced with permission.
The techniques to improve bandwidth using PGMS can be consolidated as, i) suitable element
selection that spans the phase range of 2π over a wide band, (ii) element design that constitutes both
anomalous reflection and PW to SW conversion, and (ii) amplitude and phase gradient surfaces. A
consolidated summary of the features of PGMS is listed in Table 1.
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Table 1. Summary of features — PGMS.
SI. Ref.
Year
No. No.
Working
mechanism
a) Monostatic/bistatic
b) RCS reduction frequency range
(fractional bandwidth)
c) Angular range if reported
Simulated
Measured
Array size
Unit cell size
1
[38] 2012
PW to SW
conversion
a) Monostatic
b) 15 GHz
a) Monostatic
b) 15 GHz
–
0.125λ0 × 0.3λ0
2
[39] 2013
Anomalous
reflection
a) Monostatic
b) 8 GHz–11 GHz
(40%)
a) Monostatic
b) 8–11 GHz
(40%)
–
0.16λ0 × 0.23λ0
3
PW to SW
conversion
[40] 2014
& anomalous
reflection
a) Monostatic
b) 8 GHz and 12.4 GHz
a) Monostatic
b) 8 GHz and 12.4 GHz
–
0.20λ0 × 0.20λ0
a) Monostatic/bistatic
b) 8 GHz to 13 GHz
(48%)
a) Monostatic/bistatic
b) 8 GHz to 13 GHz
(48%)
4
[41] 2014
Anomalous
reflection
5
[42] 2017
Anomalous
reflection
6
[43] 2017
Anomalous
reflection
a) Monostatic
b) 9.85 GHz–19.37 GHz
(65%)
a) Monostatic
b) 9.85 GHz–19.37 GHz
(65%)
7
[45] 2018
Anomalous
reflection
a) Monostatic
b) 7 GHz to 16 GHz
(78%)
–
5.7λ0 × 5.7λ0
0.69λ0 × 0.69λ0
8
[44] 2020
Anomalous
reflection
a) Monostatic/bistatic
b) 9 GHz to 40.7 GHz
(128%)
a) Monostatic/bistatic
b) 9 GHz to 40.7 GHz
(128%)
19λ0 × 19λ0
0.75λ0 × 0.75λ0
10.5λ0 × 10.5λ0 0.20λ0 × 0.20λ0
a) Monostatic
a) Monostatic
10.4λ0 × 10.4λ0 0.20λ0 × 0.20λ0
b) 8.9 GHz and 11.4 GHz b) 8.9 GHz and 11.4 GHz
8.25λ0 × 8.25λ0 0.25λ0 × 0.25λ0
4.2. Checkerboard Metasurfaces
CMS is another type of metasurface to reduce the RCS that works on the principle of destructive
interference. As the name implies, CMS is constructed using a pair of subarrays that alternate in a
checkerboard-like fashion. Each subarray is made of a periodic arrangement of unit cells. The reflection
phases of the two-unit cells are designed to provide 0◦ and 180◦ , respectively. Hence, the reflected
signals cancel out in the far-field. This phenomenon is explained using two sinusoidal signals in Figure 8.
Appropriate design of the unit cells results in enhanced bandwidth.
It appears that the first checkerboard-based idea for RCS reduction was reported in [47]. This
paper presents a checkerboard arrangement of an artificial magnetic conductor (AMC) and a perfect
electric conductor (PEC). The AMC and PEC reflect signals with 0◦ and 180◦ phases, respectively,
causing the cancellation of the fields in the far-field and resulting in RCS reduction. However, the
effective bandwidth remained narrow. In [48], the authors examined an AMC-PEC pair with an AMCAMC pair and reported that the AMC-AMC-based CMS provided a wider bandwidth than that of the
AMC-PEC pair. Subsequently, researchers have enhanced the RCS reduction bandwidth by using a
suitable combination of elements. A 32% bandwidth was reported in [49] by maintaining a 180 ± 30◦
phase difference between two AMCs. Theoretical prediction of the grating lobe direction is explained
in [50] using a Jerusalem cross-based checkerboard configuration, which offers a fractional bandwidth
of 40%. The 10 dB RCS reduction bandwidth reported had a spike of 8 dB, which was attributed to
Progress In Electromagnetics Research B, Vol. 94, 2021
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(a)
(b)
(c)
(d)
Figure 8. Demonstration of destructive interference: (a) sinusoidal signal, s(t), (b) signal phase shifted,
s(t + 180 + 10), (c) s(t) + s(t + 180 + 10), (d) phase deviation vs RCS reduction [46]. Reproduced with
permission.
the finite size of the array. In [51], an empirical expression (4) for RCS reduction in terms of the unit
cell’s reflection coefficient and phase was reported. It was also stated that a 180 ± 37◦ phase deviation
between unit cells is required for an RCS reduction of 10 dB.
RCS reduction =
A1 ejϕ1 + A2 ejϕ2
2
(4)
where (A1 , ϕ1 ) and (A2 , ϕ2 ) are the amplitudes and phases of unit cells 1 and 2, respectively.
RCS reduction over a dual-band was presented using two dual-resonance unit cells in [52]. Blended
CMSs were reported in [53] using single- and dual-resonance AMCs, offering a bandwidth of 83%.
Further, they present an enhancement in the bandwidth of up to 91% by using four AMCs while
stretching the phase deviation beyond 180 ± 37◦ for two of the AMCs. A bandwidth of 91.5% was
reported in [54], where dual- and triple-resonance AMCs were used. Additionally, the cancellation
condition of the checkerboard structure was analytically derived using the equivalent transmission line
model. In [55], the bandwidth was improved from 60% to 65% by using simple arcs at the corners,
aiding in surface wave suppression, as shown in Figure 9.
The CMSs discussed so far were designed by the appropriate choice of two unit cells and are planar
structures. However, a very wide bandwidth ratio of 5.87 : 1 was obtained in [56] using a multi-element
non-planar CMS, where RCS was reduced due to scattering cancellation of the multiple elements. A
triple-layered checkerboard structure reported in [57] provided a bandwidth of 96%.
A unified theory to explain phase-gradient and checkerboard configuration is presented in [58]. It
combines the concepts of Snell’s law and array theory and also discusses a synthesis procedure using
Schelkenoff’s polynomial method and the phasor diagram method. A semi-empirical expression for
determining the RCS reduction in terms of the unit cell’s reflection magnitude and phase is mentioned
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Murugesan et al.
(a)
(b)
(c)
Figure 9. CMS reported in [55]: (a) unit cell 1, (b) unit cell 2, and (c) CMS constructed using (a) and
(b). Reproduced with permission.
below.
RCS Reduction =
N √
∑
p=1
σ3−Dp ej(p−1)ψ
√
σ3−Dref
(5)
where σ3−Dp is the echo area of the unit cells, and ψ is the phase shift between adjacent cells.
An optimization procedure linking the simulation tool CST and MATLAB reported in [46] further
enhanced the bandwidth of known broadband structures. This study also reported a much wider
15 dB RCS reduction bandwidth of 48%. Most of the above-discussed work uses a Rogers substrate,
whereas [59] presented a low-cost CMS on an FR4 substrate and proposed a modified phase deviation
criteria for wide bandwidth.
All the above-CMSs were used to reduce the RCS of a flat metal target, while [60] reports CMSs
designed for the RCS reduction of dihedral corners. In [61], the CMS was used for the RCS reduction
of curved targets.
The bandwidth has been comprehensively enhanced in two ways: (i) appropriate choice of elements
and (ii) surface wave suppression. A summary of the essential features is provided in Table 2.
4.3. Polarization Conversion Metasurfaces
The PCMS, which works on polarization conversion, is the next type of RCS reduction metasurface.
Element design is essential for constructing a PCMS since it converts the polarization of an incident
wave to its orthogonal state upon reflection. This conversion by the PCMS results in the radar being
unable to detect the reflected signal, resulting in RCS reduction. The RCS reduction level depends on
the polarization conversion efficiency of the metasurface. The elements used to explain the concept of
polarization conversion are shown in Figure 10. The polarization conversion mechanism is explained
with reference to [62]. Figure 10 depicts the incident and reflected fields.
The elements generate symmetric and antisymmetric modes via electric field components along the
v- and u-axes, respectively. When a linearly polarized plane wave is incident along the x-direction, Ei
can be decomposed into parallel and perpendicular components Eiv and Eiu , respectively. The function
along the ‘v’ direction is considered as a PEC due to the electric resonance; therefore, after being
reflected, Erv and Eiv are out of phase, as shown in Figure 11(a). The function in the ‘u’ direction
is considered a high-impedance surface because of its magnetic resonance; hence, Eru and Eiu are in
phase. The resultant of Erv and Eru is the y-polarized reflected wave ‘Er ’ obtained by converting the
illuminating x-polarized wave ‘Ei ’. Element 1 in Figure 11(b) behaves in the opposite way. The reflected
wave mainly constitutes the cross- and co-polarized components Rxy and Ryy , which can be computed
Progress In Electromagnetics Research B, Vol. 94, 2021
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Table 2. CMS — Summary of features.
SI. Ref.
Year
No. No.
1
[47] 2007
2
[48] 2010
3
[50] 2013
4
[51] 2015
5
[52] 2016
6
[53] 2017
7
[54] 2019
8
[55] 2019
9
[46] 2021
10
[59] 2021
11
[56] 2018*
a) Monostatic/bistatic
b) Simulated RCS reduction frequency
range (fractional bandwidth)
c) Angular range if reported
Simulated
Measured
a) Monostatic/bistatic a) Monostatic/bistatic
b) 15.32 GHz
b) 15.32 GHz
a) Monostatic
a) Monostatic
b) 5.78 GHz
b) 5.78 GHz
a) Monostatic/bistatic
a) Monostatic/bistatic
b) 14.4–28.8 GHz
14.8 to 22.7 GHz (42%)
(40.88%)
a) Monostatic/bistatic
a) Monostatic
b) 4.10–7.59 GHz
b) 3.8–8.8 GHz
(63%)
(60%)
a) Monostatic
a) Monostatic
b) 3.94–7.40 GHz
b) 3.94–7.40 GHz
(61%)
(61%)
8.41–10.72 GHz
8.41–10.72 GHz
(24%)
(24%)
a) Monostatic/bistatic
a) Monostatic
b) 3.75–10 GHz
b) 3.75–10 GHz
(91%)
(91%)
a) Monostatic/bistatic
a) Monostatic
b) 3.78–10.08 GHz
b) 3.77–10.14 GHz
(90.9%)
(91.5%)
a) Monostatic/bistatic
a) Monostatic
b) 8–16 GHz
b) 7.98–16.32 GHz
(67.8%)
(68.6%)
a) Monostatic/bistatic
Monostatic
b) 4.8–14.8 GHz
b) 4.89–14.3 GHz
(102%)
(98%)
a) Monostatic
a) Monostatic
b) 4.3–12.6 GHz
b) 4.1–12.3 GHz
(98%)
(100%)
a) Monostatic/bistatic
a) Monostatic
b)5.5 to 32.3 GHz
b) 5.5 to 32.3 GHz
(141%)
(141%)
Array size
Unit cell size
22λ0 × 14λ0
1λ0 × 1λ0
3.5λ0 × 3.5λ0 0.18λ0 × 0.18λ0
20.7λ0 × 13.8λ0 0.25λ0 × 0.25λ0
4.68λ0 × 4.68λ0 0.29λ0 × 0.29λ0
2.1λ0 × 2.1λ0 0.34λ0 × 0.34λ0
2.6λ0 × 2.6λ0 0.32λ0 × 0.32λ0
2.98λ0 × 2.98λ0 0.37λ0 × 0.37λ0
6λ0 × 6λ0
0.6λ0 × 0.6λ0
7.8λ0 × 7.8λ0 0.49λ0 × 0.49λ0
6.56λ0 × 6.56λ0 0.41λ0 × 0.41λ0
14λ0 × 14λ0
0.5λ0 × 0.5λ0
*non-planar structure
using the following expressions from [62].
Rxy
|Erx |
=
=
|Eiy |
√
(1 − cos ∆ϕ)
2
(6)
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Murugesan et al.
(a)
(b)
Figure 10. Four resonances of the unit cell: (a) U polarized case, and (b) V polarized case [62].
Reproduced with permission.
(a)
(b)
Figure 11. An intuitive image of the x-polarized wave incident in the unit cells. (a) Element 0, and
(b) Element 1 [62]. Reproduced with permission.
Ryy
|Ery |
=
=
|Eiy |
√
(1 + cos ∆ϕ)
2
(7)
where ∆ϕ is defined as the phase difference between Rxy and Ryy , and the polarization conversion ratio
(PCR) is defined as in Eq. (8) from [62]:
P CR =
2
Rxy
2 + R2
Rxy
yy
(8)
A double-headed arrow element employed in the polarization conversion metasurface reported in [63]
provided 100% polarization conversion at four frequencies, resulting in a 10 dB RCS decrease at these
four frequency points. At the same time, a 3 dB reduction in RCS was observed over the frequency range
of 6.6–23.9 GHz. The metasurface reported in [64] used an oblique split-ring resonator and a cut-wire
resonator, enhancing the 10 dB RCS reduction bandwidth to 60% with 100% PCR over the bandwidth
9.4–19.2 GHz. Ultra-wideband polarization rotation reflective surfaces (PRRS) constructed using a
periodic array of quasi-L-shaped patches, reported in [65], offers a polarization rotation bandwidth of
103%, and PCR is greater than 50%. The metasurface structure reported in [66] offered a 10 dB RCS
reduction over the frequency range 17–42 GHz. It also offered a wide-angle of up to 50◦ by combining
Progress In Electromagnetics Research B, Vol. 94, 2021
87
the use of a checkerboard metasurface with rotated unit cells. The element reported in [67] consisted
of a square and L-shaped metallic patches printed on a grounded dielectric substrate. The two patches
were connected to the ground by two metallic vias loaded in a diagonal direction. A superstrate covered
the dual-patch unit cell, and the 10 dB RCS reduction bandwidth was about 98%. The polarization
conversion metasurface explained in [68] consisted of a double-headed arrow unit cell with 90◦ , 180◦ , and
270◦ rotations to create destructive interference. It provided an ultra-wideband 10 dB RCS reduction
from 9–40 GHz (126.5%) for TM- and TE-polarized incident waves.
The PCMSs reported in [69–72] provide enhanced bandwidth through a suitable choice of elements,
where the unit cells are a variation of the diagonally represented arrow structure. The discussion so far
was on RCS reduction of flat metal targets; the RCS reduction of antennas using PCMS is discussed
next.
RCS reduction of antennas using PCMS is reported in [73–77]. In [73], PCMS along with a partially
reflecting surface (PRS) enhances the antenna’s gain and reduces the antenna’s RCS. The PCM and
PRS are printed on two sides of a substrate above the microstrip patch antenna to form a Fabry-Perot
resonant cavity. Due to the symmetrical arrangement of the PCMS unit and its mirror unit, very high
wideband radar cross-section reduction was obtained in both x- and y-polarizations. Wideband RCS
reduction ranging from 9–20 GHz with a maximum in-band value of 20 dB at 9.4 GHz, and an out-ofband value of 33 dB was reported. A 2.5-dimensional PCMS was reported in [74], which offered a high
PCR over an ultra-wideband whose fractional bandwidth is 99.5% for the x and y-polarized incident
waves with a PCR of 96%.
In summary, most of the PCMS elements are variations of the slanted arrow-shaped elements that
result in polarization conversion. A comparison of the performance metrics of PCMSs is presented in
Table 3.
Table 3. PCMS — Summary of features.
SI. Ref.
Year
No. No.
1
[63] 2014
2
[65] 2016
3
[64] 2016
4
[66] 2016
5
[68] 2019
6
[72] 2021
a) Monostatic/bistatic
b) RCS reduction frequency range
(fractional bandwidth)
c) Angular range if reported
Simulated
Measured
a) Monostatic
a) Monostatic
b) 6.8 GHz, 12.17 GHz,
b) 6.8 GHz, 12.17 GHz,
15.45 GHz, and 23.13 GHz 15.45 GHz, and 23.13 GHz
a) Monostatic
a) Monostatic
b) 10.74–17.2 GHz
b) 10.74–17.2 GHz
a) Monostatic
a) Monostatic
b) 10.2 to 19.3 GHz
b) 10.2 to 19.3 GHz
a) Monostatic/bistatic
a) Monostatic
b) 17 GHz–42 GHz
b) 17 GHz–42 GHz
c) 10–50 degrees
a) Monostatic/bistatic
a) Monostatic/bistatic
b) 14.5 to 41 GHz
b) 16.8 to 37.3 (126.5%)
a) Monostatic/bistatic
a) Monostatic/bistatic
b) 9.5–13.9 GHz (32%)
b) 10.2–14.0 GHz (32%)
/15.2–20.4 GHz (30%)
/15.3–20.7 GHz (30%)
c) 45 degrees
C) 45 degrees
Array size
Unit cell size
20λ0 × 20λ0 0.30λ0 × 30λ0
22λ0 × 14λ0 0.28λ0 × 28λ0
3.4λ0 × 3.4λ0 0.29λ0 × 29λ0
21λ0 × 21λ0 0.30λ0 × 30λ0
16λ0 × 16λ0 0.59λ0 × 59λ0
12λ0 × 12λ0
0.5λ0 × 5λ0
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Murugesan et al.
4.4. Coding Metasurfaces
Digital metamaterials were first introduced in [78], which considered unit cells used in the construction
of the metasurface as binary digits. Coding, digital, and programmable metasurfaces were reported
in [79], where the same metasurface was used for multiple functionalities, including RCS reduction.
The unit cells used to realize the metasurface offering a phase response of 0◦ and 180◦ are assigned the
digits 0 and 1 and are called binary coding metasurfaces. In a similar way, 2-bit coding metasurfaces
use four elements with phases 0◦ , 90◦ , 180◦ , and 270◦ . N -bit coding metasurfaces use 2π/N elements.
The far-field pattern of any coding metasurface can be determined using the expression (9), from which
the directivity is estimated and is then used to estimate the RCS reduction.
f (θ, ϕ) = fe (θϕ)
N
N ∑
∑
m=1 n=1
exp ⌈−i {ϕ (m, n)+kD sin θ [(m−1/2) cos ϕ+(n − 1/2) sin ϕ]}⌉
(9)
λ2
[Dir(θ, ϕ)]
(10)
4πN 2 D2
where θ and ϕ are the elevation and azimuthal angles, respectively; k is the wavenumber; D is the
spacing between the elements; N is the total number of elements in the array; (m, n) is the position of
the elements; and ϕ(m, n) refers to the reflection phase of the individual elements at position (m, n).
Checkerboard metasurfaces are considered 2-bit coded metasurfaces, while phase gradient
metasurfaces are multi-bit coded metasurfaces. [80, 81], and [82] reported the reflection and scattering
of THz waves in an anomalous manner by using coding metamaterials. One-bit coding materials are
reported in [80], while [81] reported 1-bit coding, 2-bit coding, and multi-bit coding metasurfaces using
Minkowski closed-loop elements designed at terahertz frequencies.
The coding phase gradient metasurface reported in [43] considers the phase gradient elements
as the coding bits. It utilizes the N-shaped element as the unit cell, with a co-polarization reflection
characteristic under circularly polarized incident waves. The coding features for 1-, 2-, and multi-bit are
designed based on the Pancharatnam-Berry phase. The expressions (11) and (12) provide the reflected
wave direction based on the angle at which the incidence occurs, and the phase variation occurs along
the x and y directions:
√
(k0 sin θi cos ϕi + ∇ϕx )2 + (k0 sin θi cos ϕi + ∇ϕy )2
(11)
θa = sin−1
k0
)
(
k0 sin θi cos ϕi + ∇ϕy
(12)
ϕa = tan−1
k0 sin θi cos ϕi + ∇ϕx
RCS reduction =
where θa and ϕa are the elevation and azimuth angles of the main lobe for the primary pattern, and
∇ϕx = dϕx /dx and ∇ϕy = dϕy /dy are the phase gradients along the x- and y-directions, respectively,
where dϕx and dϕy are the phase differences between adjacent unit cells in the x-direction and ydirection, and dx and dy are the length and width of the unit cell, respectively.
Bandwidth enhancement has been reported in [83–85, 62] by means of an optimization-based
design of coded metasurfaces. A coding metasurface and bandpass frequency selective surface were
combined in [83] to simultaneously achieve high-efficiency transmission and broadband RCS reduction.
The functional performance of both transmission and RCS reduction was attained by designing the
metasurface based on the particle swarm optimization algorithm. This led to a 15 dB RCS reduction over
the frequency range of 8.5–13.5 GHz. In [84], a 4-bit reflective coding metasurface with a polarizationinsensitive unit cell was designed for wideband radar cross-section reduction using the discrete water
cycle algorithm. The 4-bit unit cells are represented in Figure 12. A wideband metasurface offering
125% RCS reduction based on polarization conversion and binary coding was reported in [62], in which
the group search algorithm was used. A 3-bit random coding PCM comprising eight elements reduced
RCS over the frequency range 18.3–42.2 GHz [85].
A coding diffused metasurface reported in [86] used an array factor and ergodic algorithm to design
the AMC blocks, which in turn were used to construct the 2D array. This has been reported to be a
faster design approach and offers a bandwidth of 27.8%. Another diffused coding metasurface with a
Progress In Electromagnetics Research B, Vol. 94, 2021
89
Figure 12. 1-, 2-, 3- and 4-bit coding metasurfaces using different sizes of unit cells, reproduced
from [84].
spiral track arrangement, reported in [87], has offered improvement in bandwidth up to 69%. A matrixtype coding metasurface further enhanced the bandwidth to 87% in [88]. In [89], a one-bit coding
diffusion metasurface is reported to provide wider bandwidth compared to a CMS.
A non-planar coded diffusive metasurface [90] offered 129% fractional bandwidth over the frequency
range 6.4–30.1 GHz. It is observed that non-planar structures, in general, provide wider bandwidth.
All the above-mentioned metasurfaces were used to reduce the RCS of a flat metal target. By
contrast, [91] reports the RCS reduction of a cylindrical metal target utilizing a flexible indium-tin-oxidebased ultrathin coding metasurface (less than 0.1 wavelengths thick) with high optical transparency.
A phase-quantized coded metasurface was reported in [92], and [93] reports edge backscattering
suppression using coded metasurfaces.
To summarize, coded metasurfaces can be constructed using any of the three metasurfaces CMS,
PGMS, or PCMS, or a combination of them. When these designs are made using an optimization
procedure, further enhancement in the RCS reduction bandwidth is obtained.
A summary of the essential features of the coding based metasurface is provided in Table 4 below.
4.5. Reconfigurable Metasurfaces
Passive metasurfaces have the drawback of being operated only at particular fixed frequency bands.
If the frequency has to be altered, then the unit cell must be redesigned. This limitation has been
overcome by designing metasurfaces that can be tuned with external triggering circuits. Due to this
tuning feature of the metasurface, dynamic functionality is integrated into the design.
The metasurface’s tunability can be either integrated over the whole metasurface or at the unit cell
level. Metasurfaces designed on stimuli-responsive materials change their physical properties in response
to external conditions, such as temperature, pressure, humidity, electric/magnetic fields, and light. As
a result, the functionality of the metasurface is changed as a whole. Hence, this type of metasurface is
referred to as a globally tuned metasurface. Owing to the practical difficulties of changing the pressure
and humidity, researchers have focused on tuning parameters such as the electric field, magnetic field,
light, and temperature. Graphene and liquid crystals are used to design globally tuned metasurfaces.
When the functional performance of the metasurface is altered at the unit cell level, it is called a
locally tuned metasurface. PIN diodes, varactor diodes, and lumped components are used in tuning the
individual unit cells.
4.5.1. Globally Tuned
Globally tuned metasurfaces are reported in [94–96]. [94] describes the actively tunable terahertz
wave coding metasurfaces using a vanadium-embedded metallic patch. The coding scheme is altered
using the metal-insulator transition of vanadium dioxide (VO2 ) at approximately 68◦ C, which aids
in RCS reduction. The broadband and tunable RCS reducing structure proposed in [95] employed
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Murugesan et al.
Table 4. Coding metasurfaces — Summary.
SI.
No.
Ref.
Year
No.
Working
mechanism
1
[80] 2015
Diffused
scattering
2
[81] 2015
Diffused
scattering
3
[86] 2017
Diffused
scattering
4
[87] 2017
Diffused
scattering
5
[89] 2018
Diffused
scattering
6
[88] 2018
Polarization
conversion
7
[92] 2018
8
[83] 2018
9
[84] 2019
10
11
12
Diffused
scattering
Destructive
interference
Diffused
scattering
Diffused
scattering and
[85] 2019
polarization
conversion
Diffused
scattering and
[62] 2019
polarization
conversion
[90] 2020
Destructive
interference
a) Monostatic/bistatic
b) RCS reduction frequency range
Array size
(fractional bandwidth)
c) Angular range if reported
Simulated
Measured
a) Monostatic/bistatic a) Monostatic/bistatic
36.7λ0 × 36.7λ0
b) 0.8 to 1.4 THz
0.5 to 1.8 THz
c) 40 degrees
c)40 degrees
a) Monostatic/bistatic a) Monostatic/bistatic
25.2λ0 × 25.2λ0
b) 0.8 to 2 THz
b) 0.5 to 1.6 THz
c) 80 degrees
c) 60 degrees
a) Monostatic/bistatic a) Monostatic/bistatic
7λ0 × 7λ0
b) 5.4 to 7.4 GHz
b) 5.57 to 7.37 GHz
(31.25%)
(27.82%)
a) Monostatic/bistatic a) Monostatic/bistatic
b) 13.2 to 23.2 GHz
b) 12.2 to 23.4 GHz
17λ0 × 17λ0
(54.9%)
(62.9%)
c) 60 degrees
c) 45 degrees
a) Monostatic
a) Monostatic
b) 7 GHz to 20 GHz
b) 7 GHz to 20 GHz
7.5λ0 × 7.5λ0
(96.3%)*
(96.3%)*
* (7dB* (7dB8.7 GHz–11.3 GHz)
8.7 GHz–11.3 GHz)
a) Monostatic/bistatic
a) Monostatic/bistatic
10.5λ0 × 10.5λ0
b) 5.8–15.5 GHz
b) 6–15 GHz (85.7%)
(90.8%)
a) Monostatic
a) Monostatic
8.4λ0 × 8.4λ0
b) 9 GHz–11 GHz.
b) 9 GHz–11 GHz
a) Monostatic/bistatic a) Monostatic/bistatic
11λ0 × 11λ0
b) 8.5 GHz to 13.5 GHz b) 8.5 GHz to 13.5 GHz
a) Monostatic
a) Monostatic
29λ0 × 29λ0
b) 15 GHz to 40 GHz
b) 15 GHz to 40 GHz
(91%)
(91%)
Unit cell size
0.40λ0 × 0.40λ0
0.30λ0 × 0.30λ0
0.11λ0 × 0.11λ0
0.36λ0 × 0.36λ0
0.45λ0 × 0.45λ0
0.35λ0 × 0.35λ0
0.23λ0 × 0.23λ0
0.48λ0 × 0.48λ0
0.46λ0 × 0.46λ0
a) Monostatic
b) 14.4–48.5 GHz
(108%)
a) Monostatic
b) 18.3–42.2 GHz
(108%)
26.6λ0 × 26.6λ0 0.42λ0 × 0.42λ0
a) Monostatic/bistatic
b) 5.1 to 22.1 GHz
(125%)
a) Monostatic
b) 4.8–22.8 GHz
(131%)
14.5λ0 × 14.5λ0 0.36λ0 × 0.36λ0
a) Monostatic/bistatic
b) 6.4 to 30.1 GHz
(129%)
a) Monostatic/bistatic
13.6λ0 × 13.6λ0 0.48λ0 × 0.48λ0
b) 6.4 to 29.6 GHz
(128%)
a hybrid mechanism of combining a high-index grating structure with a traditional Salisbury screen.
Here, the lossy sheet is made of graphene. On illumination with a normal incidence plane wave, the
Salisbury screen absorbs the incoming wave, while the high-index grating structure further reduces the
backward scattering wave by generating high-order reflection beams, which broadens the RCS reduction
bandwidth. Additionally, the graphene layers aid in tuning the surface resistance, thereby dynamically
controlling the RCS reduction level.
Progress In Electromagnetics Research B, Vol. 94, 2021
91
4.5.2. Locally Tuned
Locally tuned metasurfaces change the reflection characteristics of the metasurface at the unit cell
level. In [97], each unit cell in the metasurface was integrated with one PIN diode, realizing a single
polarization binary-coded locally tuned metasurface. The coding matrix was optimized using a genetic
algorithm. Multiple functionalities were achieved, such as diffusion, beam steering, and anomalous
reflection using a field-programmable gate array (FPGA), as shown in Figure 13. An FPGA-based
control board, placed at the back of the metasurface, is connected with each sub-metasurface through
a fixable winding wire which performs real-time control of each unit cell in the metasurface.
Figure 13.
from [97].
Programmable metasurfaces with different functionalities using FPGA, reproduced
Researchers have further integrated functionality at the metamaterial level. As the techniques
progressed from passive to active, metasurfaces have been enhanced to dynamically and arbitrarily
manipulate electromagnetic wavefields. However, manual intervention is required in the case of
programmable metasurfaces to switch among different functionalities. A smart metasurface was designed
to self-adaptively reprogram the functionalities by sensing ambient environments using a sensor. An
automatic sensing feedback system is integrated to adjust its electromagnetic operational functionality
adaptively. A motion-sensitive smart metasurface integrated with a three-axis gyroscope was reported
in [98]; this metasurface can self-adaptively alter the electromagnetic radiation beams via different
rotations of the metasurface. An online feedback algorithm is used to adaptively control the software
switch between single-beam, multibeam steering, and other dynamic reactions.
4.6. Time-Varying Metasurfaces
The metasurfaces discussed above spatially manipulate the reflected waveform without disturbing the
frequency content. Researchers are always keen to find new avenues to explore. One such enhancement
is to spread the incident spectrum into a different frequency band that could aid in the non-detectability
of the target. This is similar to time domain modulation or spread spectrum technologies and introduces
a non-reciprocity to the functionality. A simple depiction illustrating the widespread of incident signals
into different frequencies is shown in Figure 14, which is redrawn based on [99].
The time-varying metasurface presented in [100] breaks the Lorentz reciprocity concept to obtain
time-varying characteristics. Metasurfaces used to manipulate electromagnetic scattering in the time
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Murugesan et al.
Figure 14. Illustration of time-varying metasurfaces, redrawn based on [99].
domain are termed time-varying metasurfaces [101]. The concept of a graded metasurface was extended
by adding transverse temporal modulation of the surface impedance to attain the desired characteristics.
Space-time-modulated Huygens’ metasurfaces were proposed in [102], emulating a travelling-type
spatio-temporal perturbation using finite difference time domain (FDTD)-based numerical modeling.
The FDTD-based modeling considers a set of second-order differential equations formulated by mapping
the permittivity variation onto Lorentzian electric and magnetic susceptibility parameters. The obtained
field solutions are solved using an explicit finite difference technique and integrated with a Yee cell-based
propagation region to visualize the scattered fields.
Graphene-based time-varying metasurfaces that change the incident signal characteristics in the
terahertz regime was reported in [103] and [104]. Graphene micro-ribbon arrays reported in [103] vary
the Fermi level by doping the graphene, which induces time-varying changes in the complex refractive
indices of graphene, resulting in active control of the reflection amplitude and phase. This causes
Doppler-like shifts to control and manipulate light wave interactions actively.
In [105], a metasurface-based camouflaging technology was discussed using time-alternating PECPMC unit cell elements and pseudo-random time modulation. [99] employed complex modulation
strategies to simultaneously tailor wave–matter interactions and the frequency spectrum, where discrete
reflection phase states of the metasurface were controlled using digital-coding sequences. Non-linearity
was employed by temporal modulation of incident waves on the metasurface by controlling the amplitude
and phase distributions through external biasing voltages.
5. ABSORPTIVE METASURFACES FOR RCS REDUCTION
This section discusses RCS reduction achieved through absorption. Metasurface unit cells must satisfy
two conditions to function as absorbers: (i) no reflection, and (ii) no transmission. The no reflection
condition can be obtained by matching the absorbing layer impedance to that of free space. The
transmission can be made zero either by increasing the absorbing layer thickness or by creating
electromagnetic responses, utilizing both electric and magnetic field properties to dissipate the incident
energy. The idea of a metamaterial-based absorber was proposed in [106]. Thin metasurfaces with
resistive components coupled to the elements were reported in [107] and [108]. The perfect metamaterial
Progress In Electromagnetics Research B, Vol. 94, 2021
(a)
(b)
93
(c)
(d)
Figure 15. Absorptive metasurfaces: (a) electric resonator, (b) cut wire, (c) unit cell, and (d)
reflectance, transmittance and absorbance of the unit cell [109]. Reproduced with permission.
absorber presented in [109] offered more than 88% absorption at 11.5 GHz using the unit cell represented
in Figure 15. [110] reported a metamaterial-based absorber with a thickness of λ/4.7 and 99.8%
absorption over an 8% fractional bandwidth. The unit cell designed with no reflectance or transmittance
at 10 GHz reported in [111] was applied to reduce the RCS of a metallic cube.
The functionality of the absorbers in [112] and [113] is explained through the surface current
distribution. An ultra-wideband, ultra-thin X band absorber based on two concentric circular split rings
has been described in [112], while a square ring-based triple X band absorber was explored in [113].
The surface current based design of the unit cells for absorption requires the surface currents over the
elements to be anti-parallel to that in the ground plane. The multi-layer wideband circuit analogue
absorber reported in [114] offers a fractional bandwidth of 114.4%. [115–117] report band-notched
absorbers for wideband RCS reduction. A 3D metamaterial absorber made of the stand-up resistive
film patch array [118] offers ultra-wideband absorption through the excitation of multiple standing wave
modes, as well as from strong ohmic loss.
An equivalent circuit model of a square ring-based ultrathin metamaterial absorber was presented
in [119]. It was modeled using a series of resonators connected in parallel with coupling capacitance
and a short-circuited transmission line, as shown in Figure 16. The figure represents the even- and
odd-mode couplings incorporated to accurately determine the lumped parameters and the absorption
(a)
(b)
(c)
Figure 16. (a) Representation of even- and odd-mode coupling, (b) unit cell, and (c) equivalent circuit
representation [119]. Reproduced with permission.
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Murugesan et al.
frequency of the absorber structure. Additional equivalent circuit model-based designs of metasurface
absorbers were reported in [120–122]. A THz-range graphene-based absorber presented in [122] offered
a bandwidth of 0.68 THz (0.79–1.47 THz).
It was demonstrated in [123] and [124] that magnetic loading increases the bandwidth of multiband
AMC-based absorbers. A sugarcane bagasse-based composite absorber impacted by a frequency
selective surface (FSS) layer had significantly improved microwave absorption characteristics [125]. A
combination of metamaterial absorber and coding metasurface (ACM) in [126] further enhanced the
Table 5. Absorptive metasurfaces — A review.
a) Monostatic/bistatic
SI. Ref.
No No.
1
2
b) RCS reduction frequency range
Year
[106] 2007
[111] 2013
3
[115] 2015
4
[112] 2015
5
[119] 2015
6
[114] 2016
7
8
9
[127] 2017
[120] 2018
[121] 2020
10 [116] 2021
11 [117] 2021
(fractional bandwidth)
Array size
Unit cell size
Thickness
6.9λ0 × 6.9λ0
0.56λ0 × 0.56λ0
0.138λ0
6.3λ0 × 6.3λ0
0.47λ0 × 0.47λ0
0.026λ0
12λ0 × 12λ0
0.602λ0 × 0.602λ0
0.55λ0
7.8λ0 × 7.8λ0
0.238λ0 × 0.238λ0
0.067λ0
—
0.204λ0 × 0.204λ0
0.0204λ0
7λ0 × 7λ0
0.502λ0 × 0.502λ0
0.246λ0
5.3λ0 × 5.3λ0
0.7λ0 × 0.7λ0
0.028λ0
3.5λ0 × 3.5λ0
0.39λ0 × 0.39λ0
0.03λ0
c) Angular range if reported
Simulated
Measured
a) Monostatic
a) Monostatic
b) 8–18 GHz (77%)
b) 8–18 GHz (77%)
a) Monostatic/bistatic
a) Monostatic/bistatic
b) 5.22 GHz, 7.44 GHz,
b) 5.258 GHz, 7.518 GHz,
9.96 GHz, and 10.48 GHz
10.02 GHz, and 10.494 GHz
c) 60 degrees
c) 60 degrees
a) Monostatic
a) Monostatic
b) 3.9 to 26.2 GHz (148%)
b) 3.9 to 26.2 GHz
a) Monostatic/bistatic
a) Monostatic/bistatic
b) 7.85 to 12.25 GHz (43%) b) 8.08 to 12.12 GHz (40%)
a) Monostatic
a) Monostatic
b) 6.14 GHz
b) 6.14 GHz
a) Monostatic
a) Monostatic
b) 5.1–18.08 (112%)
b) 4.96–18.22 (114.40%)
a) Monostatic/bistatic
a) Monostatic/bistatic
b) 4.893 to 5.55 GHz
b) 4.893 to 5.55 GHz
(10.94%)
(10.94%)
c) 60 degrees
c) 60 degrees
a) Monostatic
a) Monostatic
b) 5.9 GHz
b) 5.9 GHz
a) Monostatic/bistatic
a) Monostatic
b) 1.98–9 GHz (119%)
b) 1.98–9 GHz (119%)
single layer
single layer
1.07–9.7 GHz (161%)
1.07–9.7 GHz (161%)
double layer
double layer
a) Monostatic
a) Monostatic
b) 2.12 to 4.15 GHz
b) 2.12 to 4.15 GHz
(64%)
(64%)
6.08 to 9.58 GHz (45%)
6.08 to 9.58 GHz (45%)
a) Monostatic
a) Monostatic
b) 2.48–5.23 (71.3%)
b) 2.48–5.23 (71.3%)
7.68–12.26 (45.9%)
7.68–12.26 (45.9%)
–
5.7λ0 × 5.7λ0
–
0.2745λ0 × 0.2745λ0
0.302λ0 × 0.302λ0
0.380λ0 × 0.380λ0
0.417λ0
0.234λ0
0.2457λ0 × 0.2457λ0 0.2554λ0
Progress In Electromagnetics Research B, Vol. 94, 2021
95
RCS reduction bandwidth. The reported ACM showed a better RCS reduction performance than the
individual metamaterial absorber or coding metasurface.
An absorber with high angular stability and reduced thickness was explored in [127]. Table 5 gives
a comparative chart of the absorptive metasurfaces showing the features of RCS reduction bandwidth,
size of the unit cell and the array, and the absorber’s thickness.
All of the structures reported above reduce the RCS of flat metal targets while [128] reduces the RCS
of antennas. All of the absorptive metasurfaces mentioned above are passive; however, [129] described
an active liquid crystal metasurface tunable absorber that operates in the terahertz band and has a 30%
amplitude tuned absorption and a frequency tunability of more than 4%. Active absorbers have also
been applied to reduce the RCS of reflectarrays using a flexibly controllable model as reported in [130].
It has been designed such that the in-band phase profile of the reflecting surface constructively adds up
to collimate the beam in the far-field while the out-of-band scattering from the reflector is significantly
reduced.
6. FUTURE RESEARCH DIRECTIONS
RCS reduction bandwidth enhancement using scattering based metasurfaces has been achieved using
multi-resonant elements [54], non-resonant elements [131] and elements that suppress surface waves [55].
Designs that are based on optimization algorithms enhances RCS reduction bandwidth, as can be seen,
for example, in [46] and [89]. In [132], a rigorous Machine Learning-based framework for efficient design
of low scattering metasurfaces is presented. It included modelling and optimization of AMC cells using
a combination of global search, local refinement and direct local tuning of the entire metasurface. The
approach resulted in CMS with broader bandwidth. A similar methodology can be applied to the design
of other types of metasurfaces as well, as it may significantly improve the bandwidth performance.
As the tables show, the majority of the reported efforts have focused on monostatic characteristics.
This gives rise to the question: do metasurfaces offering a broad monostatic bandwidth also offer
similar bandwidth in bistatic situations? The answer to this would be no. The reason is that the
surface impedance of the metasurface at oblique angles varies from that of the normal incidence, as
can be explained based on Huygen’s metasurfaces [133]. It has also been mentioned in [134] that
inhomogeneous metasurfaces suffer degradation in performance when operating at oblique incidence
due to inherent monochromatic aberrations. It is also demonstrated that beyond the monochromatic
aberrations, the performance of the metasurface at oblique incidence is critically degraded by the angular
dispersion of the meta-atoms. Hence it is essential to suppress this angular dispersion to achieve
angularly stable elements, which can be attained by designing meta-atoms with minimum multi-polar
mode coupling [134]. This type of element design clearly indicates that there is scope for expanding the
investigations to bistatic RCS reduction.
The various factors responsible for wide bandwidth include element design, element spacing, the
thickness of the metasurface and the overall size of the metasurface. Although these factors have been
under continuous investigation for years for various electromagnetic problems, including antennas, it
appears that the dependence of RCS reduction bandwidth on array size has not been explored. It has
been reported, for phased arrays [135] and reflectarrays [136], that bandwidth depends on the array
size. Undertaking studies on this aspect of RCS reduction dependence on the array size could probably
lead to bandwidth enhancement.
Metasurfaces are also prone to mutual coupling — [44] and [57] — like any other array design, which
leads to a degradation in performance.This opens up at least two avenues for exploration: (i) To enhance
the RCS reduction bandwidth by mitigating mutual coupling effects [137], and (ii) To develop improved
prediction models for array bandwidth from unit cell bandwidth [138]. Mutual coupling mitigation can
be achieved using the following methods: (i) use of PEC walls such as baffles and vias [139] to reduce
coupling between adjacent cells, and (ii) use of mutual coupling reduction techniques applied for MIMO
antennas [140].
These are few areas that seem to attract the attention of the researchers.
96
Murugesan et al.
7. CONCLUSION
This paper has reviewed the progression of various RCS reduction techniques, with a specific focus on
metasurfaces. The two fundamental principles on which RCS reduction techniques work are scattering
and absorption. A short review on shaping (scattering) and RAM (absorption), the traditional methods
for reducing RCS, were first discussed. A comprehensive review of RCS reduction metasurfaces was
then presented. Metasurfaces were also discussed in their passive and active configurations. The
RCS reduction techniques are discussed with respect to their profile, bandwidth, angular stability,
polarization sensitivity, design complexity, and cost-effectiveness. The metasurfaces are grouped with
respect to operational principle, and its performance metrics such as bandwidth, size and angular
stability are tabulated. Avenues that are open to further investigation are also discussed.
ACKNOWLEDGMENT
The authors thank Dr. C. Lakshmi, Department of English, SSN College of Engineering, for her
assistance in proofreading the manuscript.
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