High-contrast imager for complex aperture telescopes (HiCAT): 5. first results with segmented-aperture coronagraph and wavefront control
Remi Soummer, Gregory R. Brady, Keira Brooks, Thomas Comeau, Elodie, Choquet, Tom Dillon, Sylvain Egron, Rob Gontrum, John Hagopian, Iva Laginja,, Lucie Leboulleux, Marshall D. Perrin, Peter Petrone, Laurent Pueyo, Johan, Mazoyer, Mamadou N'Diaye, A. J. Eldorado Riggs, Ron Shiri

TL;DR
HiCAT is a versatile testbed designed to develop and test wavefront control and coronagraphic techniques for complex, segmented telescope apertures, advancing high-contrast imaging for future space telescopes.
Contribution
This paper reports the latest hardware and software upgrades to HiCAT, including new deformable mirrors, a custom coronagraph, and automated experimental capabilities for complex aperture studies.
Findings
Successful implementation of a custom APLC coronagraph for LUVOIR-like apertures
Enhanced software enabling automated, continuous high-contrast experiments
Progress in wavefront control techniques for segmented telescope pupils
Abstract
Segmented telescopes are a possibility to enable large-aperture space telescopes for the direct imaging and spectroscopy of habitable worlds. However, the complexity of their aperture geometry, due to the central obstruction, support structures and segment gaps, makes high-contrast imaging challenging. The High-contrast Imager for Complex Aperture Telescopes (HiCAT) testbed was designed to study and develop solutions for such telescope pupils using wavefront control and coronagraphic starlight suppression. The testbed design has the flexibility to enable studies with increasing complexity for telescope aperture geometries: off-axis telescopes, on-axis telescopes with central obstruction and support structures - e.g. the Wide Field Infrared Survey Telescope (WFIRST) - to on-axis segmented telescopes, including various concepts for a Large UV, Optical, IR telescope (LUVOIR). In the past…
Click any figure to enlarge with its caption.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
\authorinfo
Further author information, send correspondence to Rémi Soummer: E-mail: [email protected]
High-Contrast Imager for Complex Aperture Telescopes (HiCAT): 5. First Results With Segmented-Aperture Coronagraph and Wavefront Control
Rémi Soummer\supita
Gregory R. Brady\supita
Keira Brooks\supita
Thomas Comeau\supita
Élodie Choquet\supite
Tom Dillon \supitn
Sylvain Egron\supitg
Rob Gontrum\supita
John Hagopian\supith
Iva Laginja\supita
Lucie Leboulleux\supita\supitb\supitc
Marshall D. Perrin\supita
Peter Petrone\supita
\supitm Laurent Pueyo\supita
Johan Mazoyer\supitk
Mamadou N’Diaye\supitd
A.J. Eldorado Riggs \supitf
Ron Shiri\supitj
Anand Sivaramakrishnan\supita
Kathryn St. Laurent\supita
Ana-Maria Valenzuela\supita
Neil T. Zimmerman\supitj
\skiplinehalf\supita Space Telescope Science Institute
3700 San Martin Drive
Baltimore
MD 21218
USA
\supitb Laboratoire d´Astrophysique de Marseille UMR 7326
13388
Marseille
France
\supitc Office National d´Etudes et de Recherches Aérospatiales
92320 Châtillon
France
\supitd Laboratoire Lagrange
Observatoire de Nice Côte d´Azur
06304 Nice
France
\supite California Institute of Technology
MC 249-17
Pasadena
CA 91125
USA
\supitf Jet Propulsion Laboratory
4800 Oak Grove Drive
Pasadena
CA 91109
USA
\supitg Iridescence S.A.R.L
149 avenue du Maine
75014 Paris
France
\supith Advanced Nanophotonics Inc
4437 Windsor Farm Rd
Harwood
MD USA
\supiti Iridescence S.A.R.L
149 avenue du Maine
75014 Paris
France
\supitj NASA Goddard Space Center
8800 Greenbelt Rd
Greenbelt
MD 20771
USA
\supitk John Hopkins University
3400 North Charles Street
Baltimore
MD 21218
USA
\supitm Sigma Space Corporation
4600 Forbes Blvd
Lanham
MD 20706
USA
\supitn University of Delaware
Newark
DE 19716 USA
Abstract
Segmented telescopes are a possible approach to enable large-aperture space telescopes for the direct imaging and spectroscopy of habitable worlds. However, the increased complexity of their aperture geometry, due to the central obstruction, support structures and segment gaps, makes high-contrast imaging very challenging. The High-contrast Imager for Complex Aperture Telescopes (HiCAT) testbed was designed to study and develop solutions for such telescope pupils using wavefront control and coronagraphic starlight suppression. The testbed design has the flexibility to enable studies with increasing complexity for telescope aperture geometries starting with off-axis telescopes, then on-axis telescopes with central obstruction and support structures - e.g. the Wide Field Infrared Survey Telescope (WFIRST) - up to on-axis segmented telescopes, including various concepts for a Large UV, Optical, IR telescope (LUVOIR). In the past year, HiCAT has made significant hardware and software updates in order to accelerate the development of the project. In addition to completely overhauling the software that runs the testbed, we have completed several hardware upgrades, including the second and third deformable mirror, and the first custom Apodized Pupil Lyot Coronagraph (APLC) optimized for the HiCAT aperture, which is similar to one of the possible geometries considered for LUVOIR. The testbed also includes several external metrology features for rapid replacement of parts, and in particular the ability to test multiple apodizers readily, an active tip-tilt control system to compensate for local vibration and air turbulence in the enclosure. On the software and operations side, the software infrastructure enables 24/7 automated experiments that include routine calibration tasks and high-contrast experiments. In this communication we present an overview and status update of the project, both on the hardware and software side, and describe the results obtained with APLC wavefront control.
keywords:
Segmented telescopes, coronagraphy, exoplanet, high-contrast imaging, coronagraphy testbed, Apodized Pupil Lyot Coronagraph, APLC
1 INTRODUCTION
The discovery and study of worlds that could potentially support life has emerged as perhaps the most compelling science driver for future large space observatories. A “New Worlds Mission” that obtains direct spectroscopic measurements of terrestrial planet atmospheres would enable us to search for signatures of habitability and seek out potential molecular markers of distant biologies. Indeed, three of the four large mission concept studies for the 2020 decadal survey have exoplanets as a central driving science goal: the Large UV/Optical/Infrared Surveyor (LUVOIR), the Habitable Exoplanets Imaging Mission (HabEx), and the Origins Space Telescope (OST). The spectroscopic characterization of terrestrial exoplanets is both scientifically profound and potentially transformative for humanity’s understanding of our place in the cosmos, and is also a topic of tremendous public interest within the US and worldwide. NASA and National Academies strategic planning committees have consistently recognized this, as seen in the 2010 Decadal Survey and 2016 Midterm Assessment reports, the 2014 and 2018 NASA Strategic Plans, NASA’s 2013 Astrophysics Roadmap and 2014 Science Plan, and more.
An observatory’s capability for imaging rocky exoplanets turns out to be a steep function of primary mirror diameter, driving us toward the largest possible apertures [1, 2]. Building on JWST’s technologies, segmented mirror architectures can break through the hard limits that launch vehicle fairings place on the sizes of monolithic mirrors [3]. LUVOIR has baselined a 15-m telescope, with a 9-m alternate, both segmented, and the latter possibly off-axis. HabEx is studying a 6.5 m segmented telescope as its alternative to its 4 m monolith primary architecture. When calculating exo-Earth ”yields”, or the number of rocky planets in the habitable zone that a mission can detect in a fixed time, these studies usually assume nominal starlight suppression to 10*-10*, which translates into yields of a few to a few dozen exo-Earth candidates for apertures of 415 m. Achieving coronagraphy at this demanding level of performance on a large segmented aperture will enable discovery of dozens of terrestrial planets and robust atmospheric characterizations in only a few years of total mission time.
Starlight suppression systems have made substantial progress in the past few years, especially with the WFIRST CGI technology program reaching Technology Readiness Level (TRL) 5 for the coronagraph. [4, 5, 6, 7, 8, 9, 10, 11]. The further development and flight of CGI would raise these key technologies to TRL 9, and could begin the possible characterization of Jovian planets in reflected light — thereby playing an essential role in preparing for a “search for life” flagship mission. WFIRST’s 2.4 m primary remains too small for a “search for life” mission and will not address the technical challenges that are specific to segmented apertures. Even if paired with a “starshade rendezvous” [12], WFIRST could potentially image, at most, a few exo-Earths around the nearest handful of stars.
Coronagraphy for segmented apertures is necessary to ensure robust options for future missions with the largest possible telescope diameters and the greatest predicted yields of characterized exoplanets. Yet, segmented architectures also bring new challenges at both the component and system levels. Coronagraph masks must be carefully optimized for segmented pupils. Segment control must be integrated to mitigate drifts along with the high contrast wavefront control and line-of-sight pointing control systems, leading to a web of interconnected control loops communicating on different timescales. A complex trade space exists between the performance of individual subsystems, for instance trading between passive stability and active control, or between coronagraph throughput, inner working angle, and sensitivity to misalignments[13].
Addressing these challenges is the central theme of the HiCAT testbed (High contrast imager for Complex Aperture Telescopes [14, 15, 16, 17, 18]). Starting in 2013, HiCAT has led the way in developing coronagraph and wavefront control solutions for segmented apertures. Recently, other teams have begun turning efforts towards segmented mirrors (e.g. at Caltech, Université de Nice, NASA Ames, GSFC, and JPL; [19, 20, 21, 22]). HiCAT was designed to address system-level experiments in ambient conditions, in order to pave the way for higher TRL demonstrations in vacuum. This development plan, directly parallel to the WFIRST CGI staged ambient and vacuum experiments, will mature these key technologies needed for future NASA observatories of unprecedented size and power to seek out signs of life on distant rocky worlds.
2 Testbed Hardware Overview
The HiCAT testbed project started in 2013. The goal of the testbed is to demonstrate coronagraphy and wavefront control with an on-axis segmented aperture. The testbed layout and hardware are illustrated in Figure 1 and 2. The testbed includes the following elements:
- •
A segmented telescope simulator with central obstruction and support structures using a 37-segment, aperture DM (IRIS-AO111http://www.irisao.com). The central obstruction and support structures can be added in the first pupil plane, using a laser-cut mask. This truly-segmented telescope simulator includes real co-phasing wavefront errors and control ability, with an open-loop calibrated surface error of 9 nm rms (see Figure 3). The repeatability of the open-loop calibration at this level of wavefront quality makes it directly suitable for the high-contrast goals of HiCAT.
- •
A custom Apodized Pupil Lyot Coronagraph [23, 24] including a shaped pupil apodizer manufactured by Advanced Nanophotonics Inc. [25] using carbon nanotubes coatings, a circular hard-edge focal plane mask re-using a mirror with an ultra-precise circular hole originally from the Lyot Project, which was the first extreme adaptive optics coronagraph[26] (courtesy Rebecca Oppenheimer, AMNH); and a silicon-etched Lyot stop with carbon-nanotube coating as well (see Figure 4 for detailed pictures of that hardware).
- •
Two Boston Micromachines 222http://www.bostonmicromachines.com “kilo” DMs (932 actuators) are used for wavefront control (one in pupil plane and one out of pupil plane) and were custom-calibrated in closed-loop using our Fizeau interferometer. The residual flat calibration is within the accuracy limits of our 4D333https://www.4dtechnology.com Fizeau interferometer and the residual surface error is of the order of 1-2 nm rms (Figure 5).
- •
An optional flat mirror can be introduced in the beam to redirect the beam to a phase retrieval camera on a motorized translation stage to analyze the wavefront at the focal plane mask using a parametric phase retrieval algorithm[27].
- •
Several low-cost CMOS cameras are installed on HiCAT (pupil and focal plane imaging, phase retrieval, and dedicated cameras for our each of our Michelson Interferometers used for metrology. These CMOS camera have all been upgraded in the past year and feature very small pixels, very low noise ( electrons), and fast readout modes444https://astronomy-imaging-camera.com, which facilitate the HiCAT operations.
- •
Testbed motorization includes XYZ translation for the focal plane mask and Lyot stop, and z-translation stages for the imaging camera and phase retrieval stage.
- •
Several light sources options are available to the testbed, including a laser diode at 638nm, a super-continuum laser, and a Photon ETC555http://www.photonetc.com tunable filter that delivers narrow band adjustable 1% bandpass light. For higher flux density we have built a custom light source assembly using motorized filter wheels and interference filters.
3 Current Results and Achievements
3.1 Full-system dark zone demonstration
The testbed hardware and software main infrastructure was completed in the past year, in particular with the installation and calibration of the three deformable mirrors and the implementation of the first segmented-aperture APLC. These efforts have culminated in the first-ever high-contrast dark zone with a segmented aperture coronagraph operating on an actual segmented pupil, achieving initial contrasts of monochromatic and in broadband with our latest APLC design operating in air (see Figure 6). This major milestone in high-contrast coronagraphy for segmented apertures establishes with high confidence that the shaped pupil APLC has reached TRL 3.
3.2 APLC coronagraph design and manufacturing
The Apodized Pupil Lyot Coronagraph[32, 33, 34, 35, 36] was extended in the past few years to work with shaped-pupil apodizations, and specifically optimized to the configuration of on-axis segmented telescopes[23, 24, 37]. Our APLC solution relies on similar reflective binary shaped-pupil masks as those used in WFIRST-CGI and can therefore build directly on mature, proven technology for component manufacturing, for example using JPL’s silicon grass technology[38]. We have been developing an alternate manufacturing option for shaped-pupil apodizers, in collaboration with Advanced Nanophotonics Inc. [25]. This uses carbon nanotubes grown on a customized catalyst for the black areas, and protected silver or gold for the reflective areas (see Figure 4). The hemispherical reflectance of carbon nanotubes on these apodizers is . Our next batch will target reflectance below , comparable or better than JPL’s silicon grass used for the WFIRST CGI masks. In theory, carbon nanotubes can reach hemispherical reflectance down to about 0.05%. They offer potentially better surface figure because they involve growth on a catalyst instead of surface etching. While still a research topic, catalyst customization could be used to enable non binary masks with gray areas. There are no limitations for the reflective surface (e.g. silver and gold, as shown in figure 4). We plan to implement both a custom JPL-manufactured black silicon mask (in the coming year) as well as continue investigating carbon nanotubes coatings, and will compare their performance and respective advantages.
The APLC design is optimized for an aperture with geometric features slightly oversized/undersized to account for alignment tolerancing (Figure 7). The selected FPM mask diameter is based on existing hardware (Figure 4). The APLC dark zone is optimized for an IWA of 3.75 to 15 . Based on our projected aperture on the DM, our maximum controllable spatial frequency is . Note that the APLC IWA () is smaller than the projected radius of the focal plane mask (), this configuration provides enhance robustness to tip/tilt, stellar diameter and low-order aberrations[23, 24]. The Lyot stop outer diameter is undersized by a factor 0.83 from the apodizer circumscribed aperture, so that the final focal plane IWA and OWA are and , as illustrated in Figure 8. The presented HiCAT APLC has been optimized to increase robustness to the Lyot stop alignment (this solution, 0.1% alignment robustness). More recent investigations have shown that the APLC robustness can reach 0.6–1.0% by combining apodizer robustness optimization for misaligned Lyot stops, and two-DM wavefront control, and the apodizer design will be updated in subsequent fabrication runs[39].
3.3 Hardware upgrades and metrology
Over the past year, we have completed a number of hardware upgrades, in particular the installation of three critical components: the 37-segment Iris AO DM, the second Boston kilo-DM, and a series of apodizer. We relied on a suite of external metrology systems, including theodolites, several imaging cameras, and custom white-light Michelson interferometers to enable fast, precise, and repeatable replacement of these critical components. Most components can be swapped safely in just a few hours. This process is illustrated in figure 9.
To aid in rapid development, we have set up an adjacent metrology testbed dedicated to the integration and calibration of key hardware components. For example, it was used for developing and validating our external metrology using Michelson interferometers and theodolites, and validating the apodizer swap process using a coordinate measurement arm. We continue to use this metrology testbed for testing new components such as the new mounts developed by a team of Johns Hopkins University Mechanical Engineering undergraduate students (Figure 10), and for the optimization of the tip-tilt closed loop control parameters. In the near-future we plan to use this testbed for developing an automated target acquisition, and a low-order wavefront sensor[43, 44].
3.4 Software development and process
The HiCAT software was redesigned from the ground up as a modern, configurable, properly-architected software package[45]. An experiment queue fully automates execution of coronagraphic experiments and calibration data collections, typically run overnight to preserve physical access to the testbed during the day. A safety system monitors environmental sensors to protect the power- and humidity-sensitive DMs. All data are uniformly processed by a real-time reduction pipeline, also recording the DM commands and configuration parameters. Algorithm development is supported by an integrated testbed software simulator that allows running testbed controls separately from the hardware and generating model images.
This combination of hardware process and advanced software infrastructure has allowed us to perform several major hardware rotations in the past few months, including installations of the second Boston DM and the Iris-AO DM, and tests of three different apodizers (a black-silicon WFIRST apodizer provided by JPL, and the two nanotube apodizers shown in Figure 4). Each of these five interventions were completed in less than a day, including testbed re-alignment under external metrology, complete re-calibration using our calibration software suite, and the automatic re-creation of a dark zone via overnight unattended operations.
3.5 Wavefront calibration
3.5.1 Parametric Phase Retrieval
We use the phase retrieval arm shown in Figure 1 to acquire data for a parametric phase retrieval analysis[27]. This phase retrieval approach consists in searching optimal model parameter values that minimize an objective function, here a distance between the model and the data. This approach allows both for a modal estimation (e.g. using Zernike polynomials) or a pixel-by-pixel direct estimation. We used this analysis for compensating the testbed optical alignment error at the focal plane mask, using DM control. For that, we placed the testbed in a full circular pupil configuration (i.e. without apodizer and segmented mirror) corresponding to the entire DM aperture (the apodizer clear aperture is slightly undersized compared to the DM for alignment and Fresnel propagation purposes). In this configuration the testbed wavefront error was 16 nm rms with both DMs controlled to their calibrated flat maps. Using two iterations of parametric phase retrieval we have brought the wavefront error to 3 nm rms (Figure 11)
3.5.2 COFFEE
The COronagraphic Focal-plane wave-Front Estimation for Exoplanet detection (COFFEE) technique is an extension of the phase diversity technique to coronagraphic images[46, 47]. Two coronagraphic images, and , are needed. is obtained after applying a known diversity phase in the entrance pupil plane, while is on focus. COFFEE enables to estimate two unknown phase aberrations: corresponds to the upstream phase aberrations, ie. before the coronagraph (typically in the apodizer plane) and to the downstream aberrations, ie. after the coronagraph (typically in the Lyot stop plane). A criterion based on the differences between images issued from the coronagraph model and real images has to be minimized. It usually calls a numerical minimization based on the Variable Metric with Limited Memory and Bounds (VMLM-B) method[48]. The minimization stops when the difference between two successive values of the criterion is below a certain threshold, fixed by the user. We have successfully tested COFFEE on HiCAT in a configuration with a circular pupil mask and the segmented aperture DM, but without the apodizer in place (i.e. in a “classical Lyot” configuration). By introducing known ramps of pistons on the deformable mirror to study the performance of the algorithm (see Figure 12). In this first test of COFFEE with a segmented aperture, we find that we are able to reconstruct the wavefront to a high-precision from data taken in coronagraphic mode. We will have to extend next this result to the case of segmented and apodizer apertures. Since COFFEE reconstructs the amplitude and phase at the pupil plane prior to the coronagraph, it is well-suited as a wavefront sensor for dark zone control. It only relies on small defocus introduced on the DM, which we have calibrated in closed-loop with our Fizeau interferometer. This makes COFFEE potentially more advantageous than a probe-based approach such as EFC for which the probes are harder to calibrate.
4 Conclusions and perspectives
The main infrastructure of the HiCAT testbed is now completed, with all hardware integrated on the bench. We have designed and manufactured the first carbon nanotubes apodizer and implemented the first APLC for a truly segmented aperture. Our first dark zones using single-DM speckle nulling ( monochromatic and in broadband) demonstrate this technology at TRL3. Our software infrastructure and hardware metrology and process allows high flexibility (hardware configuration changes, autonomous unattended software operations). We are in the process of integrating a two-DM wavefront control[49, 29, 30]. In the near future, we plane to continue improving the overall infrastructure and performance, including tip-tilt control and low-order wavefront control.
Acknowledgements.
This work was supported in part by the National Aeronautics and Space Administration under Grants NNX12AG05G and NNX14AD33G issued through the Astrophysics Research and Analysis (APRA) program (PI: R. Soummer) and by Jet Propulsion Laboratory subcontract No.1539872 (Segmented-Aperture Coronagraph Design and Analysis; PI: R. Soummer), and the STScI Director’s Discretionary Research Funds. It is also partly funded by the French national aerospace research center ONERA (Office National d’Etudes et Recherches Aérospatiales) and by the Laboratoire d’Astrophysique de Marseille (LAM). We are also thankful to Lee Feinberg and GSFC for lending us theodolites and a coordinate measurement Faro arm, and thankful to Stuart Shaklan from JPL for loaning us a WFIRST-CGI apodizer, which helped us accelerate the development of our software and hardware infrastructure.
The reference list from the paper itself. Each links out to its DOI / PubMed record.
- 1[1] Stark, C. C., Roberge, A., Mandell, A., and Robinson, T. D., “Maximizing the Exo Earth Candidate Yield from a Future Direct Imaging Mission,” Astrophysical Journal 795 , 122 (Nov. 2014).
- 2[2] Stark, C. C., Roberge, A., Mandell, A., Clampin, M., Domagal-Goldman, S. D., Mc Elwain, M. W., and Stapelfeldt, K. R., “Lower Limits on Aperture Size for an Exo Earth Detecting Coronagraphic Mission,” Astrophysical Journal 808 , 149 (Aug. 2015).
- 3[3] Feinberg, L. D., Jones, A., Mosier, G., Rioux, N., Redding, D., and Kienlen, M., “A cost-effective and serviceable ATLAST 9.2m telescope architecture,” in [ Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series ], Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series 9143 , 16 (Aug. 2014).
- 4[4] Poberezhskiy, I., Zhao, F., An, X., Balasubramanian, K., Belikov, R., Cady, E., Demers, R., Diaz, R., Gong, Q., Gordon, B., Goullioud, R., Greer, F., Guyon, O., Hoenk, M., Kasdin, N. J., Kern, B., Krist, J., Kuhnert, A., Mc Elwain, M., Mennesson, B., Moody, D., Muller, R., Nemati, B., Patterson, K., Riggs, A. J., Ryan, D., Seo, B.-J., Shaklan, S., Sidick, E., Shi, F., Siegler, N., Soummer, R., Tang, H., Trauger, J., Wallace, J. K., Wang, X., White, V., Wilson, D., Yee, K., Zhou, H., and Zi
- 5[5] Goullioud, R., Zhao, F., Tang, H., and Wu, J., “The WFIRST-AFTA coronagraph design update,” in [ Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series ], Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series 9143 , 0 (Aug. 2014).
- 6[6] Krist, J., Nemati, B., and Mennesson, B., “Numerical modeling of the proposed WFIRST-AFTA coronagraphs and their predicted performances,” Journal of Astronomical Telescopes, Instruments, and Systems 2 , 011003 (Jan. 2016).
- 7[7] Cady, E., Balasubramanian, K., Gersh-Range, J., Kasdin, J., Kern, B., Lam, R., Mejia Prada, C., Moody, D., Patterson, K., Poberezhskiy, I., Riggs, A. J. E., Seo, B.-J., Shi, F., Tang, H., Trauger, J., Zhou, H., and Zimmerman, N., “Shaped pupil coronagraphy for WFIRST: high-contrast broadband testbed demonstration,” in [ Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series ], Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series 10400 , 1040
- 8[8] Cady, E., Prada, C. M., An, X., Balasubramanian, K., Diaz, R., Kasdin, N. J., Kern, B., Kuhnert, A., Nemati, B., Poberezhskiy, I., Eldorado Riggs, A. J., Zimmer, R., and Zimmerman, N., “Demonstration of high contrast with an obscured aperture with the WFIRST-AFTA shaped pupil coronagraph,” Journal of Astronomical Telescopes, Instruments, and Systems 2 , 011004 (Jan. 2016).
