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Proceedings Paper

Defocus transfer function for circularly symmetric pupils under polychromatic illumination
Author(s): Qingguo Yang; Liren Liu; Haitao Lang
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Paper Abstract

A method using the phase-space representations, i.e. the ambiguity function or Wigner distribution function to compute the optical transfer function (OTF) for an optical system with circularly symmetrical pupils under polychromatic illumination is presented. The phase-space representations is a very convenient tool for display the optical transfer function with varying aberrations such as the longitudinal chromatic aberration and defocus in a single picture, and the monochromatic OTFs can be easily determined from these joint representations. The polychromatic OTFs are computed by synthesizing a suitable number of monochromatic OTFs weighted by the spectral distribution of source and the color sensitivity of the receiver at fixed wavelength. Since the ambiguity function or the Wigner distribution function can be previously obtained by optical method or digital computation, the computational efficiency is greatly improved compared with traditional method, in which every monochromatic OTF need to be determined along. We computed the polychromatic OTFs for an optical system with a clear circular pupil and an annular ring pupil in detail and show some primary applications of the computations in spatial filter designing for color-blur reduction.

Paper Details

Date Published: 24 August 2005
PDF: 8 pages
Proc. SPIE 5896, Unconventional Imaging, 58960L (24 August 2005); doi: 10.1117/12.612585
Show Author Affiliations
Qingguo Yang, Shanghai Institute of Optics and Fine Mechanics, CAS (China)
Liren Liu, Shanghai Institute of Optics and Fine Mechanics, CAS (China)
Haitao Lang, Shanghai Institute of Optics and Fine Mechanics, CAS (China)


Published in SPIE Proceedings Vol. 5896:
Unconventional Imaging
Victor L. Gamiz; Paul S. Idell, Editor(s)

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