The Giant Magellan Telescope Adaptive Optics Program
Antonin H. Bouchez1a, D. Scott Actonb, Roberto Biasic, Rodolphe Conand, Brady Espelanda, Simone
Espositoe, Josema Filgueiraa, Daniele Gallienif, Brian A. McLeodg, Enrico Pinnae, Fernando
Santoroa, Gelys Tranchoa, Marcos A. van Damh
a
GMTO Corp., 251 S. Lake Ave., Pasadena, CA, USA 91101; bBall Aerospace & Technologies
Corp, 1600 Commerce St., Boulder, CO, USA 80306; cMicrogate Srl., Via Antonio Stradivari 4,
89100 Bolzano, Italy; dResearch School of Astronomy and Astrophysics, The Australian National
University, Cotter Road, Weston, ACT, Australia 2611; eOsservatorio Astrofisico di Arcetri, Largo
Enrico Fermi 5, 50125 Firenze, Italy; fA.D.S. International Srl., Via Roma 87, 23868 Valmadrera
Lecco, Italy; gSmithsonian Astrophysical Observatory, 60 Garden St., Cambridge, MA, USA 02139;
h
Flat Wavefronts, P.O. Box 1060, Christchurch, New Zealand 8140
ABSTRACT
The Giant Magellan Telescope (GMT) adaptive optics (AO) system will be an integral part of the telescope, providing
laser guidestar generation, wavefront sensing, and wavefront correction to every instrument currently planned on the
25.4 m diameter GMT. There will be three first generation AO observing modes: Natural Guidestar, Laser Tomography,
and Ground Layer AO. All three will use a segmented adaptive secondary mirror to deliver a corrected beam directly to
the instruments.
The Natural Guidestar mode will provide extreme AO performance, with a total wavefront error less than 185 nm RMS
using bright guidestars. The Laser Tomography mode uses 6 lasers and a single off-axis natural guidestar to deliver
better than 290 nm RMS wavefront error at the science target, over 50% of the sky at the galactic pole. The Ground
Layer mode uses 4 natural guidestars on the periphery of the science field to tomographically reconstruct and correct the
ground layer AO turbulence, improving the image quality for wide-field instruments. A phasing system maintains the
relative alignment of the primary and secondary segments using edge sensors and continuous feedback from an off-axis
guidestar. We describe the AO system preliminary design, predicted performance, and the remaining technical
challenges as we move towards the start of construction.
Keywords: Extremely Large Telescopes, Adaptive Optics, Adaptive Secondary Mirrors, Ground Layer AO
1. INTRODUCTION
The Giant Magellan Telescope is a 25.4 m diameter optical/infrared telescope being developed for the purpose of
conducting forefront scientific research in general astrophysics, cosmology, and the study of extrasolar planetary
systems1 (Figure 1). The GMT optical design is a fast, wide field (20′ diameter) aplanatic Gregorian with a plate scale of
0.99.arcsec/mm at the final f/8.2 focus2. The optics are supported in an altitude-azimuth structure that has been designed
to be stiff and compact. The primary mirror will be composed of seven 8.4 m diameter borosilicate honeycomb
segments fabricated by the Stewart Observatory Mirror Lab. Two secondary mirror assemblies with the same optical
prescription will be provided for the GMT: an adaptive secondary mirror (ASM) and a fast-steering secondary mirror
(FSM). Each consists of seven 1.05 m diameter segments supported by 6 degree of freedom positioning systems from a
rigid top end frame. The ASM will be used in routine operation to support all the telescope observing modes, while the
FSM will be used during commissioning and whenever servicing of the ASM is required.
Science instruments will mount on the moving structure of the telescope, utilizing either the direct Gregorian focus (2
reflections), or a folded Gregorian focus provided by a steerable M3 located below the primary mirror (3 reflections).
Narrow-field AO instruments will be located at the folded Gregorian focus, while instruments with a field of view up to
20′ diameter will be located at the direct Gregorian focus. Up to 11 instruments can be accommodated on the telescope
simultaneously, most mounted on a single large Gregorian Instrument Rotator (GIR) which provides field de-rotation.
1
[email protected]; phone +1 626 204 0517; http://www.gmto.org
The preliminary design of the first generation of instruments is underway, and a call for proposals for second-generation
instrument concepts is planned in 20153. Two of the first generation instruments will be narrow-field infrared
imagers/spectrographs designed specifically to take advantage of the diffraction-limited NGAO and LTAO observing
modes (GMTIFS4 and GMTNIRS5). The wide-field multi-object GMACS spectrograph6 and the single-object, highresolution GCLEF spectrograph7 will both benefit from GLAO correction.
The GMT will be located on Cerro Campanas at Las Campanas Observatory in Chile. The summit of Cerro Campanas
has been leveled in preparation for construction, to an elevation of 2518 m above sea level. A rotating enclosure will
shield the telescope from the elements in daytime, and from wind and moonlight at night. A summit support building
located 100 m away provides facilities for operating and maintaining the telescope, instruments, and AO system
components8. The GMT site provides excellent astronomical conditions, with over 220 photometric nights per year and
a median Fried parameter r0=16.4 cm. The site is however quite windy, with a median nighttime wind speed of 6.3 m/s.
The following section describes the GMT AO observing modes, performance requirements, and architectural choices.
Section 3 presents the preliminary design of the major AO subsystems. Section 4 summarizes the predicted performance
of the system, and Section 5 presents our conclusions.
Figure 1. The Giant Magellan Telescope in its enclosure.
2. REQUIREMENTS AND ARCHITECTURE
2.1 Observing Modes
The GMT will support three AO observing modes for the first generation of instruments, using different wavefront
sensing approaches to balance turbulence compensation with sky coverage and field of view. The ASM is the primary
wavefront corrector for all of these modes.
•
The Ground Layer AO (GLAO) observing mode uses natural guidestars (NGS) in the periphery of the direct
Gregorian field of view to tomographically reconstruct the turbulence below ~1 km altitude, providing modest
image quality improvement at 0.35-25 µm over a field of view up to 20 arcmin diameter.
•
The Natural Guide Star AO (NGAO) observing mode uses a single NGS wavefront sensor located ahead of the
instrument to provide all of the wavefront correction information for the AO System, delivering diffractionlimited imaging at 0.9-25 µm wavelength over a field of view limited by atmospheric anisoplanatism.
•
The Laser Tomography AO (LTAO) observing mode uses a 1′ diameter asterism of 6 Laser Guidestars (LGS)
to tomographically reconstruct the high-order components of the atmospheric wavefront aberrations in the
direction of a central science target. One NGS is used to measure tip-tilt, focus, segment piston, and dynamic
calibration terms. Wavefront aberration will be compensated by the ASM, providing diffraction-limited
imaging at 0.9-25 µm wavelength over a field of view limited by atmospheric anisoplanatism.
The ASM must also support the Natural Seeing (NS) observing mode, in which only fast tip-tilt is corrected. The AO
observing modes will be deployed sequentially during the commissioning period of the telescope, with the system first
supporting GLAO correction for the GCLEF and GMACS instruments, then NGAO mode and finally LTAO mode for
the diffraction-limited instruments. Second-generation observing modes which use the ASM as the first-stage corrector
for an extreme, multi-conjugate, or multi-object AO system are being considered.
2.2 Performance Requirements and Error Budgets
The top-level performance requirements in each observing mode are listed in Table 1. The GMT AO performance
requirements have deliberately been kept somewhat less ambitious that those of other extremely large telescope projects,
allowing a comparatively simple and cost-effective design to meet those requirements. In additional to diffractionlimited and high-contrast science, there is a strong scientific emphasis on spectroscopy of low surface-brightness objects.
All requirements are specified at 15° from zenith in median integrated turbulence conditions (r0=16.4 cm at zenith), but
with 75th percentile wind conditions (10 m/s), seasonal minimum sodium density (2.1×1013 atoms m-2) and a
conservative assumption of the turbulence outer scale (L0=60 m). The turbulence profile used is the January 2008
“typical-typical” model of Goodwin9, measured using the SLODAR method on the 2.5 m DuPont telescope.
Mode
Performance Requirements
GLAO
SCI-1887: <0.30 arcsec FWHM at K band over >6.5 arcmin diameter, >50% of the time
NGAO
SCI-1883: >75% K (2.18 µm) Strehl for R<8 stars
SCI-1882: >105 contrast at 0.12 arcsec (4λ/D) in L’ band
LTAO
SCI-1884: >30% H (1.65 µm) Strehl over 20% of the sky at the galactic pole
SCI-1885: >40% K (2.18 µm) ensquared energy in 50×50 mas over 50% of sky at the galactic pole
SCI-1886: >50% K (2.18 µm) ensquared energy in 85×85 mas with a K=15 on-axis NGS
Table 1: GMT AO performance requirements
Error budgets based on simple analytic calculations and confirmed using numerical simulations have been developed to
flow down the top-level AO performance requirements to those of subsystems and components. The starting point for
analytic performance estimates is the GMT diffraction-limited PSF. The gaps in the GMT pupil result in diffraction
features which have a significant impact on encircled/ensquared energy performance metrics, and a modest impact on
FWHM. The on-axis pupil ASM pupil and a simulated NGAO PSF are illustrated in Figure 2. The apparent holes in the
outer segments are projections of holes in the ASM face sheets, required to accommodate their central flexures.
Figure 2. (Left) GMT on-axis pupil. (Right) Simulated NGAO mode PSF with 91% K Strehl (logarithmic stretch).
The ASM actuator density is driven by NGAO observing mode requirements, and its conjugate height of 160 m above
ground is dictated by the aplanatic Gregorian optical design. The GLAO mode performance is therefore determined by
the wavefront sensor design, reconstruction algorithms, and of course the turbulence height distribution. While an
analytic error budget for a median turbulence profile has been developed, it has proven less useful than those for the
diffraction-limited observing modes. We have instead relied on wave-optics simulations using random guidestar
asterisms and random draws from a set of measured turbulence profiles10 to optimize the system design and characterize
its expected performance.
To meet the Strehl and contrast requirements, the NGAO mode must maintain <170 nm RMS high-order wavefront error
and <1.85 mas RMS tip-tilt error when using bright guidestars. This requirement has been flowed down to individual
sources of wavefront error as indicated in Table 2. Meeting these allocations requires an actuator spacing in the pupil of
<30 cm, wavefront sensor framerate >700 Hz, and an on-instrument “truth” wavefront sensor to detect slowly-varying
errors not sensed by the NGAO wavefront sensor.
The LTAO performance requirements are challenging, both in terms of high-order wavefront error and sky coverage.
The flowdown to individual sources of wavefront error for 20% sky coverage at the galactic pole is shown in Table 2.
Maintaining the high-order wavefront error below 260 nm RMS using available guidestar lasers requires an asterism of
six LGS, accurate tomography algorithms, and an on-instrument truth wavefront sensor. The <3.0 mas RMS tip-tilt error
requirement is particularly challenging to meet in the presence of the ~10 mas RMS telescope wind shake expected in
75th percentile wind conditions when the enclosure is in the minimum aperture configuration11. The system design
achieves this level of tip-tilt control using a single diffraction-limited tip-tilt sensor within the instrument, operating in
the K band at 500 Hz frame rate.
Table 2: Wavefront error budgets and performance estimates corresponding to requirements SCI-1883 (K Strehl >0.75 in
NGAO mode with V=8 guidestar) and SCI-1884 (H Strehl >0.30 in LTAO mode with 20% sky coverage at the galactic
pole). The first number in each cell is the requirement, while the second is the estimated performance of the preliminary
design. Values in blue are allocations for cases in which the design performance has not yet been determined.
2.3 AO System Architecture
The GMT AO system architecture is based around an ASM as the primary wavefront corrector. When combined with a
“direct feed” of the high-order wavefront sensors, this choice naturally provides high throughput, low emissivity, a wide
corrected field of view, and low differential aberrations between the wavefront sensors and instruments. The direct-feed
wavefront sensing architecture is so named because light from the telescope is passed directly from the tertiary mirror
(M3) to the science instrument operating in the NGAO and LTAO modes. High-order wavefront sensing is performed
using visible light reflected from a dichroic instrument window tilted 20° to the incoming beam. An on-instrument NGS
wavefront sensor (OIWFS) measures additional low-order or low temporal frequency errors to which the visible
wavefront sensors are blind (Figure 3).
Figure 3. Schematic of the direct feed architecture, as implemented in the GMT AO system design.
The direct feed architecture requires that the visible wavefront sensors be replicated for each instrument, but the
additional cost is compensated by the opportunity to tailor each set of sensors to the instrument’s science case (for
example, the diameter of the LGS asterism). Flexure between the visible wavefront sensors and the instrument focal
plane is sensed by the OIWFS inside the instrument cryostat. The OIWFS must also sense fast tip-tilt, focus, and
segment piston error in the LTAO mode.
Wavefront sensing in the GLAO mode will be provided by the Acquisition, Guiding, and Wavefront sensing System
(AGWS) probes, which patrol the periphery of the direct Gregorian focal plane (Figure 4). An extensive trade study
comparing this NGS sensing architecture to one using laser guide stars was performed during the preliminary design
phase12,13. The NGS GLAO system was selected based on its higher throughput and observing efficiency and far lower
cost. In the GLAO mode, the wavefront of four natural guide stars will be sensed by the AGWS at up to 200 Hz, the
ground layer turbulence will be tomographically reconstructed from these signals, and then corrected by the ASM.
GLAO correction will thus be available to any instrument on the telescope, regardless of focal station, whenever the
ASM is installed.
Achieving the diffraction limit of the 25.4 m aperture of the GMT will require the primary and secondary mirrors to be
phased to <65 nm rms. Due to the large separation between primary segments (30-40 cm) and their construction of
borosilicate glass, which has a non-zero CTE, capacitive or inductive edge sensors alone are not expected to be
sufficiently stable over timescales longer than a few minutes. In the NGAO observing mode, the natural guide star
wavefront sensor can sense and correct segment piston at up to 2 kHz. However, only faint natural guide stars are
generally available in the LTAO mode. The GMT therefore uses a 3-stage phasing system consisting of a coarse optical
phasing sensor with a large capture range to initially phase the telescope, primary and secondary mirror edge sensors to
maintain alignment over short timescales, and a high-sensitivity optical sensor to correct long-term drifts in the edge
sensors. Since the primary and secondary segments are matched one-to-one, errors can be rapidly compensated using
the agile adaptive secondary mirror, then off-loaded to the primary or secondary segment positioning actuators as
appropriate.
Figure 4. (Left) Cross-section of the telescope showing the location of the AGWS sensors. (Right) The AGWS unit viewed
from below, with 4 patrolling guiding and wavefront sensing probes and one phasing camera.
3. AO SYSTEM DESIGN
3.1 Adaptive Secondary Mirror
The segmented GMT optical design leads to specifications for each ASM segment that are similar to those of presentgeneration adaptive mirror telescopes (e.g., the Large Binocular Telescope14, Magellan Telescope15, and ESO Very
Large Telescope16). The ASM benefits greatly from the design heritage of those mirrors, and represents the 4th
generation of such devices designed by a consortium of Microgate Corp. and ADS International.
Each 1.05 m diameter ASM segment has 672 voice coil actuators, supporting a 2 mm thick Zerodur face sheet (Figure
5). Capacitive sensors maintain the shape of the face sheet with respect to a light weighted Zerodur reference body with
~10 nm precision, at up to a 2 kHz update rate. This internal closed-loop control of the actuators operates at a rate of 90
kHz, and includes dynamic feed-forward control17. The reference body and actuators are both supported by an
aluminum cooling plate, which also provides an interface to the positioner actuators. Six positioner actuators arranged in
a modified hexapod connect each segment to the rigid top end structure.
Figure 5. The GMT adaptive secondary mirror, and a cross-section of one off-axis segment.
The 4704 voice coil actuators act on permanent magnets bonded to the rear of the Zerodur face sheets, leading to the
desirable property that failed actuators exert no force and can be removed from the control with little reduction in
performance. Local control electronics for each segment are housed in cooled crates, which are attached to the top end
structure. All global control tasks are performed by the electronics located remotely in the electronics room, which
provide the control and data interfaces to the telescope control system.
Once commissioned, the ASM will remain installed for long periods, operate in all operational weather conditions, and
support every observing mode. Yearly maintenance campaigns are likely, during which time the FSM would be
installed for several weeks, precluding use of the AO observing modes.
3.2 NGAO Mode Wavefront Sensing
The NGAO observing mode will use the light from a single natural guide star, located within 90″ of the science target,
for wavefront sensing18. The Natural Guide Star Wavefront Sensor (NGWS) must therefore sense all wavefront
aberrations due to the atmosphere and telescope, including tip-tilt, segment piston, and high-order modes. The need to
sense segment piston led to the selection of a pyramid wavefront sensor19,20 , which also provides high sensitivity and
low aliasing properties.
The NGWS components are mounted on a vertically oriented board that patrols the 180″ diameter focal plane on two
linear stages (Figure 6). Two wavelength channels allow segment piston errors to be measured unambiguously (one
600-850 nm, and the other 850-950 nm). Both cameras sample the GMT pupil with 92×92 subapertures, providing
wavefront measurement on approximately the same spatial scales as the ASM actuator spacing. A modal control scheme
using Karhunen-Loève modes based the covariance of turbulence in the ASM actuator’s command space is used to
provide optimal control when using faint guidestars.
A fixed LGS dichroic and a field corrector lens are located just ahead of the NGWS (see Figure 3). The LGS dichroic
uses a novel two-element wedged plate design to compensate transmitted aberrations21.
Figure 6. The visible wavefront sensor system, which mounts to the front of diffraction-limited AO instruments.
3.3 LTAO Mode Wavefront Sensing
The Laser Tomography Wavefront Sensor (LTWS) measures the wavefront of the six laser guide stars, allowing the
telescope control system in the LTAO observing mode to tomographically reconstruct the high-order components of the
atmospheric wavefront aberrations in the direction of a central science target22. The LTWS consists of six ShackHartmann wavefront sensors that each divide the GMT pupil into 60×60 subapertures (Figure 6). The spot patterns are
recorded by cameras using the E2V NGSD detector, which will operate at up to 800 Hz frame rate. The sensors must
translate axially to track the changing range to the atmospheric sodium layer, and rotate around the optical axis to track
the laser guide star asterism, which is fixed with respect to the telescope pupil.
Each Shack-Hartmann spot is recorded by 13×13 pixels, critically sampled along the narrow axis of the elongated LGS
image (0.71″/pixel). The fine pixel sampling and diversity in the orientation of the LGS elongation result in low LGS
aberrations23. The resulting massive flow of pixels is reduced to a vector of wavefront slopes by a slope processor using
6 commodity multi-CPU servers, which then send the slope vector to the telescope control system via the low-latency
data network. Wavefront errors in the direction of the science target and OIWFS natural guidestar are estimated using
the covariance tomography algorithm24.
Each instrument using the NGAO or LTAO observing modes must provide an OIWFS that observes a single on- or offaxis star, performing different functions depending on the observing mode. In the NGAO mode it compensates flexure,
and must therefore measure tip-tilt, focus, and pupil position at slow rates (0.1 Hz). In the LTAO mode, the OIWFS
senses all atmospheric and telescope aberrations that cannot be measured with the lasers. These are:
•
Tip-tilt of the natural guide star at rates up to 1 kHz in order to compensate for the image motion introduced by
the atmosphere, and the wind induced vibration of the telescope
•
Focus at rates of approximately 10 Hz, to compensate for sodium layer altitude variations
•
Telescope segment piston at 0.1 Hz, to correct slow drifts in the M1 edge sensors
•
Low-order aberrations (~200 modes) at 0.1 Hz, to detect tomographic reconstruction errors and changing noncommon path aberrations
The design of the OIWFS for GMTIFS is illustrated in Figure 7. It has four separate wavefront sensors fed by dichroics,
mounted on an optical bench that is in turn mounted to the GMTIFS main optical bench. Tip-tilt sensing is performed
using an imaging quad cell in the K-band (2.03-2.37.µm). The H-band is split between a 5×5 Shack-Hartmann focus
sensor (1.65-1.80 µm) and an integrated optics phasing sensor25 (1.50-1.65 µm). These three sensors are fed by a small
deformable mirror with 32×32 actuators, which corrects the anisoplanatism of the off-axis natural guide star using a
separate tomographic solution. A 16×16 subaperture Shack-Hartmann “Truth” wavefront sensor using the J-band (1.171.33 µm) is located ahead of the DM26.
Figure 7. The on-instrument wavefront sensor for GMTIFS.
3.4 GLAO Mode Wavefront Sensing
The Acquisition, Guiding, and Wavefront sensing System (AGWS) fulfills the wavefront sensing function for the GLAO
observing mode, in addition to providing telescope guiding, alignment, and M1 segment figure control in the other
observing modes27. Four probes patrol the periphery of the direct Gregorian focal plane, each able to access ±90°
azimuth and from 6′ to 10′ radius from 4 cardinal directions (Figure 8). Each probe can be configured in one of three
optical configurations: Guider, segment guider (7 subaperture Shack-Hartmann sensor), or wavefront sensor (24×24
subaperture Shack-Hartmann sensor).
In the Natural Seeing (NS) observing mode, one probe will measure segment tilt at up to 200 Hz to correct guiding
errors and wind-induced vibration, while three are configured as slow wavefront sensors to maintain M1-M2 alignment
and correct M1 segment figure errors. In the GLAO mode all probes will be configured as wavefront sensors and run at
100-200 Hz, allowing the low-altitude turbulence to be reconstructed and corrected with the ASM. Using a minimumvariance reconstructor that takes into account the position of the guidestars, their magnitude and the size of the science
field, image quality can be significantly improved at all wavelengths over fields of view of at least 10′ diameter12, with
no throughput reduction or significant additional operational overheads.
Figure 8. (Left) A single AGWS unit. (Right) AGWS wavefront sensor simulated spot pattern 10′ off-axis.
3.5 Laser Guidestar Facility
The laser guide star facility (LGSF) generates the LTAO asterism, which consists of six guide stars equally spaced on a
60 arcsec diameter circle28. Approximately 20 W of optical power per laser is required to generate a return flux ≥407 ph
cm-2 s-1 at 15° zenith angle in seasonal minimum sodium conditions (2.1×109 Na atoms cm-2), meeting the LTAO error
budget allocation for WFS measurement and bandwidth error.
Figure 9. Laser guide star facility components and layout, including the Laser Projection Assembly (LPA), the beam
diagnostic and conditioning system (BCDS), fiber laser, and laser launch telescope.
The LGSF uses six self-contained laser guide star units, each of which includes a laser system, a Beam Conditioning and
Diagnostic System (BCDS), and a Laser Launch Telescope (LLT) (Figure 9). The baseline laser system is the
Toptica/MPB SodiumStar Raman fiber laser, which generates a laser beam with the required power, spectro-temporal,
and spatial characteristics in a robust and compact package. This beam is formatted by the BCDS prior to projection on
the sky by the LLT. The LLT is a 20× Galilean beam expander designed by TNO for the ESO Very Large Telescope
4LGS Facility, the specifications of which are well matched to those of the GMT. Together, the BCDS and LLT ensure
proper pointing and focusing of the laser beam on the sky. The laser guide star units are located at the periphery of the
M1 mirror assembly, mounted in pairs. The location at the end of the M1 cell connector frame provides a very stiff
mount and ease of access for maintenance.
An independent laser guidestar acquisition system will be mounted below the M1 cells, on the telescope structure. It
will use a commodity 350 mm diameter telescope and CCD camera to image both natural guidestars and the LGS, and
open-source starfield recognition software to determine the coordinates of each LGS with respect to the GMT optical
axis.
3.6 Segment Phasing
To deliver diffraction-limited images in the NGAO and LTAO observing modes, the GMT must be phased to a small
fraction of the observing wavelength. Since both M1 and M2 are segmented, the average optical path of each M1-M2
segment pair must be equalized. The availability of natural guide stars requires a different phasing strategy for the
NGAO and LTAO observing modes29.
In the NGAO observing mode, the bright on-axis guide star provides sufficient flux to measure both atmospheric and
telescope segment piston at high bandwidth. A pyramid wavefront sensor is capable of measuring phase offsets across
segment gaps19,20 , but initial simulations and laboratory experiments with a single wavelength sensor exhibited
occasional “ejections” of segments to integer multiples of the mean wavelength λ, caused by residual atmospheric
turbulence across a segment gap exceeding λ/2. This effect is common to any sensor using interference effects, even
with broadband light. A second channel at a different wavelength was therefore added to the NGWS to detect and
correct these jumps. End-to-end simulations of the two-channel NGWS and ASM correction demonstrate the system can
meet the 45 nm RMS wavefront error allocated to segment piston in the NGAO observing mode, with no additional
sensors.
Figure 10. (Left) Phasing camera concept. (Right) Prototype phasing camera on the Magellan Clay telescope in July 2012.
However, there remains an initial capture problem as the NGWS has a capture range of only ±3.µm, limited by the
wavelength separation of its two channels. A separate phasing camera is included in the AGWS for this reason (see
Figure 4). The phasing camera uses a dispersed Hartman sensor in the K band to unambiguously determine the segment
piston error between adjacent sensors, using NGS located 6′ to 10′ off-axis (Figure 10). A prototype was developed and
tested on the Magellan Clay telescope in July 2012, demonstrating a piston measurement precision between segment
pairs of 75 nm RMS in 30 s using K=12 stars, and a capture range of ±60 µm30.
Phasing in the LTAO observing mode is significantly more challenging because the LTWS, being a Shack-Hartmann
wavefront sensor, is blind to segment piston errors. Segment piston must therefore be sensed independently of the highorder atmospheric wavefront error, using edge sensors (Figure 11) and faint off-axis NGS. The edge sensors provide
high-frequency feedback (≥250 Hz) with potential long-term drift due to gravity and thermal effects, while the phasing
camera and OIWFS provide continuous low-frequency calibration (typically 30 s integration time).
Figure 11. (Left) Each M1 edge sensor unit uses 2 distance-measuring interferometers to measure displacement in 2
directions at each of 24 locations between M1 segments. (Right) Each M2 edge sensor unit uses 3 capacitive sensors across
an 0.75 mm gap to measure displacement in 2 directions, at each of 24 locations between the ASM reference bodies.
The phasing camera, while accurately measuring the segment piston at its off-axis position, is subject to field-dependent
segment piston errors caused by tilt of an M2 segment compensated by the opposite tilt of the matching M1 segment.
This condition results in zero tilt in the focal plane, but a field-dependent segment piston error. Thus the accuracy of the
phasing camera measurement is a function of the accuracy to which the M2 edge sensors can maintain relative tilt
between the ASM reference bodies. We have therefore also included in the design a sensitive segment piston sensor in
the OIWFS25. The Integrated Optics Piston Sensor is located nearer to the optical axis (<90″), and thus subject to an
order of magnitude lower field-dependent segment piston error. It also has the advantage of measuring the true average
segment piston error, rather than the phase difference over a limited region near the segment edges. Simulations of the
LTAO segment piston control loops demonstrate that these sensors used together can maintain telescope segment piston
error to 50 nm RMS using IOPS guidestars as faint as H=17, representative of the 20% sky coverage case.
The LTAO phasing strategy can be summarized as:
•
Initially phase M2 using the multi-wavelength interferometer reflected by a retro-reflector at the prime focus.
Maintain the ASM reference bodies in these relative positions using the M2 edge sensors feeding back to the
M2 positioner at ~0.1 Hz.
•
Phase M1 using the phasing camera with a bright star in evening twilight. Maintain the M1 segments in these
relative positions using the M1 edge sensors feeding back to the M1 segment positioners at ~0.1 Hz.
•
Correct the high-frequency component of telescope segment piston by feeding forward the M1 and M2 edge
sensor measurements to the ASM segment face sheets at >250 Hz.
•
Update the M1 edge sensor setpoints based on continuous IOPS measurements at ~0.1 Hz.
3.7 Wavefront Control System
The Wavefront Control System (WFCS) is the set of TCS software components that implements all active and adaptive
optics control for the GMT. It includes all of the software and computing hardware necessary to convert the
measurements made by wavefront and edge sensors into corrections applied to the telescope optics. This integrated
wavefront control approach is different than that followed by many previous telescope projects in which the AO control
system was logically distinct from the telescope control system. The integrated approach, enabled by the concurrent
development of telescope and AO systems, avoids the duplication of infrastructure components and facilitates the
consistent design of different GMT observing modes.
Each observing mode has a distinct wavefront controller, but all modes share some common software components. Each
wavefront controller is instantiated at runtime; the connections between software components are established by a
wavefront control supervisor component specific to each observing mode. A top-level wavefront control supervisor
implements changes between observing modes.
A single hardware platform will support all first-generation AO wavefront controllers. The LTAO mode places the most
demanding requirements on this system, with a throughput requirement of 140 GMACS with ≤200 µs latency. The
baseline design uses 9 commodity servers (Figure 12). Wavefront reconstruction is performed by direct matrix
multiplication on 6 of these nodes, each processing the slope vector of one LTWS camera with 3 GPUs (2 for the ASM
reconstruction and 1 for the OIWFS DM reconstruction). A master node sums the resultant vectors, and two nodes are
dedicated to DM communication. All nodes and the wavefront sensor slope computers communicate via an Infiniband
low latency network. A single-node feasibility demonstrator housing 2 GPUs has been developed which demonstrated
the required throughput with 225 µs latency, slightly out of specification. Anticipated advances in GPUs will likely
allow the design to be simplified and performance significantly improved prior to deployment.
Figure 12. Schematic of the AO wavefront controller hardware architecture. Slope processors (SP) and real-time computer
(RTC) nodes are connected via the observatory low latency network to the controlled devices and telemetry system.
Figure 13. Overview of the M2 Calibration Facility in the Summit Support Building.
3.8 Calibration Systems
Hardware and software systems have been designed to facilitate end-to-end testing of the AO system both on and off the
telescope. The M2 Calibration Facility will allow optical testing of the ASM or FSM, integration and system-level
testing of the AO system, and integration of the AO system with a folded Gregorian instrument at the observatory
(Figure 13). It will be located in the Summit Support Building, 100 m from the telescope enclosure. Two flat fold
mirrors, 1.8 m and 0.5 m diameter, fold the optical path from the ASM to an instrument located a grade level in an ISO 8
cleanroom. A 12 m deep pit excavated from bedrock provides both mechanical and temperature stability.
Various sources can be installed at the prime focus. The AO Retro-reflector uses an ellipsoidal and a flat mirror to retroreflect a source projected from the Gregorian focus while preserving the pupil location. The LTAO Calibration Source
uses a computer-generated hologram and a single aspheric optic to simultaneously project NGS and LGS sources to the
wavefront sensors and instrument31. The second fold mirror can be reoriented to feed a multi-wavelength TwymanGreen interferometer, allowing the ASM optical figure to be measured and the segments phased independent of
wavefront or edge sensors.
All of these calibration functions will be available on the telescope as well as in the lab. The prime focus calibration
sources will be mounted on a deployment arm, visible in Figure 1 just below the ASM. The calibration interferometer
will be mounted in a folded Gregorian instrument location that can be addressed by M3.
4. PREDICTED PERFORMANCE
4.1 Natural Guidestar AO
Simulations of the NGAO observing modes were performed using the software tool PASSATA (PyrAmid Simulator
Software for Adaptive OpTics Arcetri) developed at Arcetri Observatory to study pyramid-based AO systems18.
PASSATA is based on a full Fourier optics code including tilt modulation. The ASM correction takes into account the
influence functions derived from finite-element analysis of the mirror.
Figure 14 illustrates the rapid convergence of the NGAO control loops for a bright guide star in median turbulence
conditions. This simulation used a simple integrator controller and includes no telescope vibrations or calibration errors,
and thus represents an upper limit to the system performance. The mean segment piston error over 10 turbulence
realizations is 15.3 nm RMS after convergence of the second-wavelength control loop, and the mean K Strehl is 95.6 %.
Figure 14. Example of the convergence of the NGAO control loops with a seeing of 0.63" and V=8 guidestar. Each
iteration represents 1 ms. (Left) K Strehl. (Right) Segment piston error. Vertical dashed lines spaced every 150 ms indicate
where second-wavelength channel phasing corrections are applied.
The expected performance of the NGAO mode for various guidestar magnitudes, seeing, and wind conditions is
summarized in Table 3. Case D0 represents the requirement (telescope 30° from zenith, pointed into 10 m/s wind,
minimum enclosure aperture, 7 mas RMS tip-tilt disturbance), while Case C0 is a worst-case scenario (telescope 30°
from zenith, pointed into 10 m/s wind, wind vents 50% open, 69 mas RMS tip-tilt disturbance). A simple integrator is
unable to control tip-tilt and focus in Case C0, and a robust Infinite Impulse Response filter of order (4,4) was therefore
used for both wind cases32. An additional 95 nm RMS of wavefront error has been added in quadrature to the simulation
results to account for effects not included (eg. calibration errors, uncorrectable telescope and instrument aberrations,
residual mechanical vibrations, and flexure).
The expected total wavefront error in the conditions specified in requirement SCI-1883 is 116.1 nm RMS, and the
predicted K Strehl is 89.3%. All cases but the most extreme (wind case C0 and an MV =12 guide star) meet the SK >
75% criterion.
MV
8
8
12
Seeing
[arcsec]
Wind
Wavefront Error
Controller
case
[nm RMS]
none
Integrator
120.9
0.63
D0
IIR
116.1
C0
IIR
122.8
none
Integrator
154.2
1.0
D0
IIR
140.9
C0
IIR
156.2
none
Integrator
156.4
0.63
D0
IIR
133.4
C0
IIR
189.9
Table 3: NGAO mode performance summary.
SK
[%]
88.5
89.3
88.1
82.0
84.7
81.6
81.5
86.2
74.1
4.2 Laser Tomography AO
Several AO simulation packages were used to refine the LTAO system design during the preliminary design phase,
including the Object Oriented Matlab Adaptive Optics (OOMAO) modeling library33, the Yorick Adaptive Optics
(YAO) simulation tool34, and the Fortran 95 Simulation Library (SL95)23. The simulation results presented here were
computed with SL95 and capture the following key features of the LTAO system:
•
6 LGS in an r=30” hexagonal asterism, plus one off-axis NGS at variable field angle
•
LGS point sources convolved by a Gaussian blur kernel, with vertical structure based on UBC lidar sodium
density profiles35
•
Wavefront reconstruction using a minimum variance tomographic reconstructor, both on-axis (to control the
ASM) and off-axis (to control the OIWFS DM)
•
Pseudo open-loop control of the ASM and OIWFS DM
•
An additional 112 nm RMS of wavefront error to account for error terms not simulated
The image quality metrics of H band Strehl and K band 50×50 mas ensquared energy are displayed in Figure 15 as a
function of NGS off-axis distance and magnitude. It is clear from these simulation results that to achieve H Strehl >0.30
on the science target, a star less than ~60″ off-axis and with magnitude H<16 must be available for the OIWFS. As
expected, the K band 50×50 mas ensquared energy is far less affected by both measurement error and tip-tilt
anisoplanatism.
Sky coverage can be estimated by the fraction of 100 random star fields created with the Besançon galaxy model36 with
at least one star that delivers a specified image quality. The sky coverage fractions for H Strehl >0.30 (requirement SCI1884) and K band 50×50 mas ensquared energy >0.40 (requirement SCI-1885) are illustrated in Table 4 and Table 5,
both with and without an OIWFS DM to correct anisoplanatism of the NGS. The sky coverage without an OIWFS DM
formally meets the requirements, but with little margin. That with the OIWFS DM meets both the requirements and the
goals, achieving H Strehl >0.30 over 79% of the sky at the galactic pole, and K band 50×50 mas ensquared energy >0.40
with complete sky coverage.
Figure 15. (Left) H Strehl ratio and (Right) K 50×50 mas ensquared as a function of the NGS off–axis distance and
magnitude in median seeing. An OIWFS DM correcting anisplanatism of the NGS is included.
Galactic Latitude
0°
-30° -60° -90°
With OIWFS DM
100 100
78
79
Without OIWFS DM
91
51
31
23
Table 4: LTAO sky coverage percentage for H Strehl >0.30 (requirement SCI-1884).
Galactic Latitude
0°
-30° -60° -90°
With OIWFS DM
100 100
100
100
Without OIWFS DM 100
95
67
63
Table 5: LTAO Sky Coverage percentage for K 50×50 mas ensquared energy >0.40 (requirement SCI-1885).
The LTAO performance simulations presented above did not include the impact of wind-induced vibrations. These were
explored in separate simulations using the same wind cases D0 and C0 described in Section 4.1. Using a simple
integrator tip-tilt controller, case D0 resulted in 0.9 mas RMS residual tip-tilt at 20% sky coverage and 1.35 mas RMS at
50% sky coverage at the galactic pole, consistent with the requirements. However, case C0 exceeds the dynamic range
of the OIWFS quad-cell detector resulting in tip-tilt residual >6 mas RMS. Future work will explore increasing the
dynamic range of the OIWFS tip-tilt sensor, and using more sophisticated control laws to improve performance in these
difficult conditions.
4.3 Ground Layer AO
Simulations of the GLAO mode were performed using the Yorick Adaptive Optics (YAO) simulation tool13,34. The
simulations include the following features of the GLAO system:
•
The current opto-mechanical design of the AGWS, including probe patrol range constraints in field angle (6′ to
10′) and azimuth (±90°).
•
Wavefront reconstruction using a minimum variance tomographic reconstructor, optimized for either a single
field point, a 5′ diameter field, or a 10′ diameter field
•
Pseudo open-loop control of the ASM
The turbulence profile used is very pessimistic in terms of the fraction of turbulence in the ground layer, with only 28%
of the turbulence strength below 1 km altitude. The simulations again used random asterisms generated using the
Besançon galaxy model36 to evaluate the performance versus sky coverage. An analytic estimate of the on-axis
wavefront error based on the sum of the tomographic error and measurement noise was used to select the optimal
asterism in each case.
Tomographic GLAO allows the ASM correction to be optimized for different field sizes or discrete science target
locations by changing only the reconstructor. The residual wavefront error for 0′, 5′, and 10′ diameter corrected fields is
illustrated in Figure 16 for the median asterism at the galactic pole (that which results in the median on-axis residual
wavefront error). For this median case, GLAO correction reduces the atmospheric wavefront error from 2.4 µm RMS
uncorrected to 1.0-1.4 µm RMS depending on the corrected field size.
Figure 16. (Left) Median GLAO asterism at the galactic pole. (Right) Residual wavefront error across the central 10′ as a
function of corrected field size, using the same asterism.
The predicted GLAO image size as a function of wavelength at the galactic pole is illustrated in Figure 17, and tabulated
in Table 6. The typical variation in image size between guide star fields is only 1% at visible wavelengths and 3% in the
K band, due to the large number of available guide stars, even near the galactic pole. Thus the sky coverage is very
nearly 100% at the indicated performance levels. The image size predicted in the natural seeing case is already better
than that measured with smaller telescopes in the same atmospheric conditions (0.56 arcsec versus 0.67 arcsec at 550
nm) due to the finite turbulence outer scale. The image quality improvement provided by NGLAO correction is
significant at all wavelength bands, increasing with wavelength and smaller corrected fields.
Figure 17. FWHM as a function of wavelength for the on-axis, 5' diameter and 10' diameter corrected fields, for a typical
star field near the galactic pole.
Wavelength (µm) 0.44 0.55 0.64 0.79 1.22 1.65
Natural Seeing (mas)
553
543
526
504
445
408
On-axis NGLAO (mas)
463
433
405
369
272
209
489
458
435
404
329
270
5′ diameter NGLAO (mas)
RMS across field (mas)
6.9
7.1
8.4
10.5 10.4 14.6
473
455
425
356
300
10′ diameter NGLAO (mas) 501
RMS across field (mas)
7.3
10.4
8.6
10.3 12.6 14.6
Table 6: GLAO corrected FWHM and FWHM uniformity.
2.18
372
169
216
14.9
249
18.2
While the improvements in image quality provided by the GLAO mode may appear small, particularly in the visible,
they should really be evaluated on the basis of the improvement which they provide in terms of signal-to-noise ratio
(SNR) over a given integration time, or reduction in integration time to achieve a given SNR. For background-limited
observations of unresolved sources, the SNR will be proportional to 1 FWHM. Thus the predicted 17% reduction in R
band FWHM over a 5′ field provides a 21% increase in SNR, or a 32% reduction in integration time to achieve the same
SNR. In this regime, the GLAO mode will provide a great benefit, equivalent to increasing the available observing time
on the GMT by nearly 50%. The sensitivity gains in the infrared are even greater.
5. CONCLUSIONS
The GMT AO system passed its preliminary design review in July 2013. The design, presented here, meets all of the
top-level performance requirements, and indeed exceeds them in several cases. The NGAO mode in particular is
expected to deliver extremely high performance when using bright guidestars (116 nm RMS wavefront error in typical
observing conditions, including 10 m/s wind). The LTAO mode sky coverage is effectively 100% for low surfacebrightness spectroscopic observations, and greater than 50% for diffraction-limited imaging in the near-infrared. The
GLAO mode will provide a significant improvement in observing efficiency, increasing the signal-to-noise ratio of point
sources by 30% in the visible and >100% in the near-infrared over wide fields of view.
The construction phase of the GMT is expected to start in late 2014, kicking off detailed design studies and large-scale
AO prototyping activities. Fabrication of major AO components will begin in 2016, with integration of the AO
subsystems in Chile expected to begin in 2020 and commissioning in 2022. In parallel with these activities, we also plan
to begin developing concepts for second generation GMT AO capabilities, coordinated with the second generation of
GMT instrument solicitation.
ACKNOWLEDGEMENTS
This work has been supported by the GMTO Corporation, a non-profit organization operated on behalf of an
international consortium of universities and institutions: Astronomy Australia Ltd, the Australian National University,
the Carnegie Institution for Science, Harvard University, the Korea Astronomy and Space Science Institute, the
Smithsonian Institution, The University of Texas at Austin, Texas A&M University, University of Arizona and
University of Chicago. This work has also been supported in part by the National Science Foundation under Scientific
Program No. 10 as issued for support of the Giant Segmented Mirror Telescope for the United States Astronomical
Community, in accordance with Proposal No. AST-0443999 submitted by AURA.
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