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5 March 2003 Non-iterative methodology for obtaining a wavefront directly from phase diversity measurements
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Large segmented and distributed aperture telescopes increasingly rely on innovative imaging techniques such as phase diversity and phase retrieval. These algorithms obtain the phase aberration in a dynamic system by different estimation techniques using the information from in-focus and out-of-focus images of extended objects and point objects, respectively. These estimation techniques are generally iterative and suffer from the usual pitfalls of CPU demands and failure modes. An alternative method would be to obtain an expression for the wavefront directly from the phase diversity measurements. The optimal wavefront expression would be expressed as a polynomial times the unaberrated OTF derived from the aberrated PSF. In this paper, we first obtain the expansion of the aberrated PSF with an explicit dependence on the amount of diversity and explore the implications of varying amounts of diversity as well as different numbers of diversity planes. Finally, we discuss solutions for the wavefront expression.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Barbara Tehan Landesman, Gopal Vasudevan, and Eric H. Smith "Non-iterative methodology for obtaining a wavefront directly from phase diversity measurements", Proc. SPIE 4850, IR Space Telescopes and Instruments, (5 March 2003);

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