Phase retrieval in annulus sector domain by non-iterative methods

Xiao Wang; Heng Mao; Da-zun Zhao

doi:10.1117/12.791514

5 March 2008 Phase retrieval in annulus sector domain by non-iterative methods

Xiao Wang, Heng Mao, Da-zun Zhao

Proceedings Volume 6623, International Symposium on Photoelectronic Detection and Imaging 2007: Image Processing; 66231H (2008) https://doi.org/10.1117/12.791514
Event: International Symposium on Photoelectronic Detection and Imaging: Technology and Applications 2007, 2007, Beijing, China

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.

Citation Download Citation

Xiao Wang, Heng Mao, and Da-zun Zhao "Phase retrieval in annulus sector domain by non-iterative methods", Proc. SPIE 6623, International Symposium on Photoelectronic Detection and Imaging 2007: Image Processing, 66231H (5 March 2008); https://doi.org/10.1117/12.791514

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KEYWORDS

Phase retrieval

Image processing

Computer simulations

Mirrors

Optical instrument design

Paraxial approximations

Telescopes

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