Defocus transfer function for circularly symmetric pupils under polychromatic illumination

Qingguo Yang; Liren Liu; Haitao Lang

doi:10.1117/12.612585

23 August 2005 Defocus transfer function for circularly symmetric pupils under polychromatic illumination

Qingguo Yang, Liren Liu, Haitao Lang

Proceedings Volume 5896, Unconventional Imaging; 58960L (2005) https://doi.org/10.1117/12.612585
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

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.

Citation Download Citation

Qingguo Yang, Liren Liu, and Haitao Lang "Defocus transfer function for circularly symmetric pupils under polychromatic illumination", Proc. SPIE 5896, Unconventional Imaging, 58960L (23 August 2005); https://doi.org/10.1117/12.612585

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