Phase retrieval and design with automatic differentiation: tutorial
Article
Article Title | Phase retrieval and design with automatic differentiation: tutorial |
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ERA Journal ID | 1260 |
Article Category | Article |
Authors | Wong, Alison (Author), Pope, Benjamin (Author), Desdoigts, Louis (Author), Tuthill, Peter (Author), Norris, Barnaby (Author) and Betters, Chris (Author) |
Journal Title | Journal of the Optical Society of America B: Optical Physics |
Journal Citation | 38 (9), pp. 2465-2478 |
Number of Pages | 14 |
Year | 2021 |
Place of Publication | United States |
ISSN | 0740-3224 |
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. |
Keywords | Angular resolution; Automatic differentiations; Continuous phase; Flexible technologies; Gradient descent techniques; Intensity distribution; Narrow-angle astrometry; Phase retrieval |
ANZSRC Field of Research 2020 | 510109. Stellar astronomy and planetary systems |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | University of Sydney |
Centre for Astrophysics | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q7705/phase-retrieval-and-design-with-automatic-differentiation-tutorial
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