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Proceedings Paper

Phase retrieval in annulus sector domain by non-iterative methods
Author(s): Xiao Wang; Heng Mao; Da-zun Zhao
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Paper Abstract

Phase retrieval could be achieved by solving the intensity transport equation (ITE) under the paraxial approximation. For the case of uniform illumination, Neumann boundary condition is involved and it makes the solving process more complicated. The primary mirror is usually designed segmented in the telescope with large aperture, and the shape of a segmented piece is often like an annulus sector. Accordingly, It is necessary to analyze the phase retrieval in the annulus sector domain. Two non-iterative methods are considered for recovering the phase. The matrix method is based on the decomposition of the solution into a series of orthogonalized polynomials, while the frequency filtering method depends on the inverse computation process of ITE. By the simulation, it is found that both methods can eliminate the effect of Neumann boundary condition, save a lot of computation time and recover the distorted phase well. The wavefront error (WFE) RMS can be less than 0.05 wavelength, even when some noise is added.

Paper Details

Date Published: 5 March 2008
PDF: 9 pages
Proc. SPIE 6623, International Symposium on Photoelectronic Detection and Imaging 2007: Image Processing, 66231H (5 March 2008); doi: 10.1117/12.791514
Show Author Affiliations
Xiao Wang, Beijing Institute of Technology (China)
Heng Mao, Beijing Institute of Technology (China)
Da-zun Zhao, Beijing Institute of Technology (China)

Published in SPIE Proceedings Vol. 6623:
International Symposium on Photoelectronic Detection and Imaging 2007: Image Processing
Liwei Zhou, Editor(s)

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