Phase retrieval and design with automatic differentiation: tutorial

Article


Wong, Alison, Pope, Benjamin, Desdoigts, Louis, Tuthill, Peter, Norris, Barnaby and Betters, Chris. 2021. "Phase retrieval and design with automatic differentiation: tutorial." Journal of the Optical Society of America B: Optical Physics. 38 (9), pp. 2465-2478. https://doi.org/10.1364/JOSAB.432723
Article Title

Phase retrieval and design with automatic differentiation: tutorial

ERA Journal ID1260
Article CategoryArticle
AuthorsWong, Alison (Author), Pope, Benjamin (Author), Desdoigts, Louis (Author), Tuthill, Peter (Author), Norris, Barnaby (Author) and Betters, Chris (Author)
Journal TitleJournal of the Optical Society of America B: Optical Physics
Journal Citation38 (9), pp. 2465-2478
Number of Pages14
Year2021
Place of PublicationUnited States
ISSN0740-3224
1520-8540
Digital Object Identifier (DOI)https://doi.org/10.1364/JOSAB.432723
Web Address (URL)https://opg.optica.org/josab/fulltext.cfm?uri=josab-38-9-2465&id=455983
Abstract

The principal limitation in many areas of astronomy, especially for directly imaging exoplanets, arises from instability in the point spread function (PSF) delivered by the telescope and instrument. To understand the transfer function, it is often necessary to infer a set of optical aberrations given only the intensity distribution on the sensor—the problem of phase retrieval. This can be important for post-processing of existing data, or for the design of optical phase masks to engineer PSFs optimized to achieve high-contrast, angular resolution, or astrometric stability. By exploiting newly efficient and flexible technology for automatic differentiation, which in recent years has undergone rapid development driven by machine learning, we can perform both phase retrieval and design in a way that is systematic, user-friendly, fast, and effective. By using modern gradient descent techniques, this converges efficiently and is easily extended to incorporate constraints and regularization. We illustrate the wide-ranging potential for this approach using our new package, Morphine. Challenging applications performed with this code include precise phase retrieval for both discrete and continuous phase distributions, even where information has been censored such as heavily saturated sensor data. We also show that the same algorithms can optimize continuous or binary phase masks that are competitive with existing best solutions for two example problems: an apodizing phase plate coronagraph for exoplanet direct imaging, and a diffractive pupil for narrow-angle astrometry. The Morphine source code and examples are available open-source, with an interface similar to the popular physical optics package Poppy.

KeywordsAngular resolution; Automatic differentiations; Continuous phase; Flexible technologies; Gradient descent techniques; Intensity distribution; Narrow-angle astrometry; Phase retrieval
ANZSRC Field of Research 2020510109. Stellar astronomy and planetary systems
Public Notes

Files associated with this item cannot be displayed due to copyright restrictions.

Byline AffiliationsUniversity of Sydney
Centre for Astrophysics
Institution of OriginUniversity of Southern Queensland
Permalink -

https://research.usq.edu.au/item/q7705/phase-retrieval-and-design-with-automatic-differentiation-tutorial

  • 52
    total views
  • 5
    total downloads
  • 0
    views this month
  • 0
    downloads this month

Export as

Related outputs

The Near Infrared Imager and Slitless Spectrograph for the James Webb Space Telescope. IV. Aperture Masking Interferometry
Sivaramakrishnan, Anand, Tuthill, Peter, Lloyd, James P., Greenbaum, Alexandra Z., Thatte, Deepashri, Cooper, Rachel A., Vandal, Thomas, Kammerer, Jens, Sanchez-Bermudez, Joel and Pope, Benjamin J. S.. 2023. "The Near Infrared Imager and Slitless Spectrograph for the James Webb Space Telescope. IV. Aperture Masking Interferometry." Publications of the Astronomical Society of the Pacific. 135 (1043). https://doi.org/10.1088/1538-3873/acaebd
Differentiable optics with a Lux: I - deep calibration of flat field and phase retrieval with automatic differentiation
Desdoigts, Louis, Pope, Benjamin J. S., Dennis, Jordan and Tuthill, Peter G.. 2023. "Differentiable optics with a Lux: I - deep calibration of flat field and phase retrieval with automatic differentiation." Journal of Astronomical Telescopes, Instruments, and Systems. 9 (2). https://doi.org/10.1117/1.JATIS.9.2.028007
V-LoTSS: The circularly polarised LOFAR Two-metre Sky Survey
Callingham J.R., Shimwell T.W., Vedantham H.K., Bassa C.G., O Sullivan S.P., Yiu T.W.H., Bloot S., Best P.N., Hardcastle M.J., Haverkorn M., Kavanagh R.D., Lamy L., Pope B.J.S., Röttgering H.J.A., Schwarz D.J., Tasse C., Van Weeren R.J., White G.J., Zarka P., Bomans D.J., Bonafede A., Bonato M., Botteon A., Bruggen M., Chyzy K.T., Drabent A., Emig K.L., Gloudemans A.J., Gürkan G., Hajduk M., Hoang D.N., Hoeft M., Iacobelli M., Kadler M., Kunert-Bajraszewska M., Mingo B., Morabito L.K., Nair D.G., Pérez-Torres M., Ray T.P., Riseley C.J., Rowlinson A., Shulevski A., Sweijen F., Timmerman R., Vaccari M., Zheng J., Callingham, J.R., Shimwell, T.W., Vedantham, H.K., Bassa, C.G., O’Sullivan, S.P., Yiu, T.W., Bloot, S., Best, P.N., Hardcastle, M.J., Haverkorn, M., Kavanagh, R.D., Lamy, L., Pope, B. J. S., Röttgering, H., Schwarz, D.J., Tasse, C., van Werren, R.J., White, G.J., ..., Hajduk, M.. 2023. "V-LoTSS: The circularly polarised LOFAR Two-metre Sky Survey." Astronomy and Astrophysics: a European journal. 670. https://doi.org/10.1051/0004-6361/202245567
JWST/NIRCam Discovery of the First Y+Y Brown Dwarf Binary: WISE J033605.05-014350.4
Pope, Benjamin J. S.. 2023. "JWST/NIRCam Discovery of the First Y+Y Brown Dwarf Binary: WISE J033605.05-014350.4." The Astrophysical Journal Letters. 947 (2). https://doi.org/10.3847/2041-8213/acc86d
The Kepler Smear Campaign: Light Curves for 102 Very Bright Stars
Pope, Benjamin J. S., Davies, Guy R., Hawkins, Keith, White, Timothy R., Stokholm, Amalie, Bieryla, Allyson, Latham, David W., Lucey, Madeline, Aerts, Conny, Aigrain, Suzanne, Antoci, Victoria, Bedding, Timothy R., Bowman, Dominic M., Caldwell, Douglas A., Chontos, Ashley, Esquerdo, Gilbert A., Huber, Daniel, Jofre, Paula, Murphy, Simon J., ..., Yu, Jie. 2019. "The Kepler Smear Campaign: Light Curves for 102 Very Bright Stars." Astrophysical Journal Supplement Series. 244 (1), pp. 1-19. https://doi.org/10.3847/1538-4365/ab2c04
Maelstrom: A Python package for identifying companions to pulsating stars from their light travel time variations
Hey, Daniel R., Murphy, Simon J., Foreman-Mackey, Daniel, Bedding, Timothy R., Pope, Benjamin J. S. and Hogg, David W.. 2020. "Maelstrom: A Python package for identifying companions to pulsating stars from their light travel time variations." Journal of Open Source Software. 5 (51), pp. 1-3. https://doi.org/10.21105/joss.02125
Forward Modeling the Orbits of Companions to Pulsating Stars from Their Light Travel Time Variations
Hey, Daniel R., Murphy, Simon J., Foreman-Mackey, Daniel, Bedding, Timothy R., Pope, Benjamin J. S. and Hogg, David W.. 2020. "Forward Modeling the Orbits of Companions to Pulsating Stars from Their Light Travel Time Variations." The Astronomical Journal. 159 (5), pp. 1-11. https://doi.org/10.3847/1538-3881/ab7d38
A Search for Transits among the Delta Scuti Variables in Kepler
Hey, Daniel R., Montet, Benjamin T., Pope, Benjamin J. S., Murphy, Simon J. and Bedding, Timothy R.. 2021. "A Search for Transits among the Delta Scuti Variables in Kepler." The Astronomical Journal. 162 (5), p. 204. https://doi.org/10.3847/1538-3881/ac1b9b
Kernel Phase and Coronagraphy with Automatic Differentiation
Pope, Benjamin J. S., Pueyo, Laurent, Xin, Yinzi and Tuthill, Peter G.. 2021. "Kernel Phase and Coronagraphy with Automatic Differentiation." The Astrophysical Journal: an international review of astronomy and astronomical physics. 907 (1), pp. 1-14. https://doi.org/10.3847/1538-4357/abcb00
The TESS View of LOFAR Radio-emitting Stars
Pope, Benjamin J. S., Callingham, Joseph R., Feinstein, Adina D., Gunther, Maximilian N., Vedantham, Harish K., Ansdell, Megan and Shimwell, Timothy W.. 2021. "The TESS View of LOFAR Radio-emitting Stars." The Astrophysical Journal Letters. 919 (1), pp. 1-8. https://doi.org/10.3847/2041-8213/ac230c
Beyond the Kepler/K2 bright limit: variability in the seven brightest members of the Pleiades
White, T. R., Pope, B. J. S., Antoci, V., Papics, P. I., Aerts, C., Gies, D. R., Gordon, K., Huber, D., Schaefer, G. H., Aigrain, S., Albrecht, S., Barclay, T., Barentsen, G., Beck, P. G., Bedding, T. R., Andersen, M. Fredslund, Grundahl, F., Howell, S. B., Ireland, M. J., ..., Tuthill, P. G.. 2017. "Beyond the Kepler/K2 bright limit: variability in the seven brightest members of the Pleiades." Monthly Notices of the Royal Astronomical Society. 471 (3), pp. 2882-2901. https://doi.org/10.1093/mnras/stx1050
Modelling cosmic radiation events in the tree-ring radiocarbon record
Zhang, Qingyuan, Sharma, Utkarsh, Dennis, Jordan A. Dennis, Scifo, Andrea, Kuitems, Margot, Büntgen, Ulf, Owens, Mathew J., Dee, Michael W. and Pope, Benjamin J. S.. 2022. "Modelling cosmic radiation events in the tree-ring radiocarbon record." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 478 (2266). https://doi.org/10.1098/rspa.2022.0497
Holistic spectroscopy: complete reconstruction of a wide-field, multiobject spectroscopic image using a photonic comb
Kos, Janez, Bland-Hawthorn, Joss, Betters, Christopher H., Leon-Saval, Sergio, Asplund, Martin, Buder, Sven, Casey, Andrew R., D'Orazi, Valentina, de Silva, Gayandhi, Freeman, Ken, Lewis, Geraint, Lin, Jane, Martell, Sarah L., Schlesinger, Katharine, Sharma, Sanjib, Simpson, Jeffrey D., Zucker, Daniel, Zwitter, Tomaz, Hayden, Michael, ..., Ting, Yuan-Sen. 2018. "Holistic spectroscopy: complete reconstruction of a wide-field, multiobject spectroscopic image using a photonic comb." Monthly Notices of the Royal Astronomical Society. 480 (4), pp. 5475-5494. https://doi.org/10.1093/mnras/sty2175
The GALAH survey: the data reduction pipeline
Kos, Janez, Lin, Jane, Zwitter, Tomaz, Zerjal, Maruska, Sharma, Sanjib, Bland-Hawthorn, Joss, Asplund, Martin, Casey, Andrew R., de Silva, Gayandhi M., Freeman, Ken C., Martell, Sarah L., Simpson, Jeffrey D., Schlesinger, Katharine J., Zucker, Daniel, Anguiano, Borja, Bacigalupo, Carlos, Bedding, Timothy R., Betters, Christopher, Da Costa, Gary, ..., Wittenmyer, Robert A.. 2017. "The GALAH survey: the data reduction pipeline." Monthly Notices of the Royal Astronomical Society. 464 (2), pp. 1259-1281. https://doi.org/10.1093/mnras/stw2064
Photometry of very bright stars with Kepler and K2 smear data
Pope, B. J. S., White, T. R., Huber, D., Murphy, S. J., Bedding, T. R., Caldwell, D. A., Sarai, A., Aigrain, S. and Barclay, T.. 2015. "Photometry of very bright stars with Kepler and K2 smear data." Monthly Notices of the Royal Astronomical Society. 455 (1), pp. L36-L40. https://doi.org/10.1093/mnrasl/slv143