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Optical Engineering

Approximate analytical optical transfer function for a wavefront-coded imaging system with two-dimensional rectangularly separable phase masks
Author(s): Hui Zhao; Yingcai Li
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Paper Abstract

Wavefront coding can be used to extend the depth of field of incoherent imaging systems and is a powerful system-level technique. In order to assess the performance of a wavefront-coded imaging system, defocused optical transfer function (OTF) is the metric frequently used. Unfortunately, to the best of our knowledge, among all types of phase masks, it is usually difficult to obtain the analytical OTF except the cubic one. Although numerical computation seems good enough for performance evaluation, the approximate analytical OTF is still indispensable because it can reflect the relationship between mask parameters and system frequency response in a clearer way. Thus, a method is proposed to derive the approximate analytical OTF for two-dimensional rectangularly separable phase masks. The analytical results are well consistent with the direct numerical computations, but the proposed method can be accepted only from engineering point of view and needs rigorous proof in future.

Paper Details

Date Published: 1 September 2010
PDF: 10 pages
Opt. Eng. 49(9) 093201 doi: 10.1117/1.3485759
Published in: Optical Engineering Volume 49, Issue 9
Show Author Affiliations
Hui Zhao, Xi'an Institute of Optics and Precision Mechanics (China)
Yingcai Li, Xi'an Institute of Optics and Precision Mechanics (China)


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