Abstract

The design of a desired optical transfer function (OTF) is a common optical problem that has many possible applications. A well-known application for the OTF design is beam shaping for incoherent illumination. However, other applications, such as optical signal processing, can also be addressed with these systems. We derive a mathematical expression for an optimal phase-only filter that, when attached to an imaging lens, provides an optimal approximation in the sense of the minimal mean square error to the desired OTF function. Because of the fact that a phase-only filter is used, high efficiency is achieved.

© 1997 Optical Society of America

Optical transfer function shaping and depth of focus by using a phase only filter

Dina Elkind, Zeev Zalevsky, Uriel Levy, and David Mendlovic
Appl. Opt. 42(11) 1925-1931 (2003)

Iterative reconstruction method for the accurate measurement of optical transfer function

Dong Pu, Xingchen Pan, Hua Tao, Cheng Liu, and Jianqiang Zhu
Appl. Opt. 60(26) 8164-8173 (2021)

Measurement of the lens optical transfer function using a tartan pattern

Matthew R. Arnison, David P. Morgan-Mar, Chris A. Deller, Peter A. Fletcher, and Kieran G. Larkin
Appl. Opt. 50(15) 2158-2169 (2011)

Defocus transfer function for circularly symmetric pupils

Alan R. FitzGerrell, Edward R. Dowski, and W. Thomas Cathey
Appl. Opt. 36(23) 5796-5804 (1997)

Deriving the Coltman correction for transforming the bar transfer function to the optical transfer function (or the contrast transfer function to the modulation transfer function)

Robert L. Lucke
Appl. Opt. 37(31) 7248-7252 (1998)