Abstract

The problem of the degrees of freedom of an optical image in coherent light, in the presence of noise, is investigated in the case where the image is not perfectly aplanatic. In particular, we examine the case where the image of a unit (line) source at a distance x from the axis differs from the image of an axial source by a quadratic phase factor.

© 1975 Optical Society of America

Degrees of freedom, and eigenfunctions, for the noisy image

M. Bendinelli, A. Consortini, L. Ronchi, and B. Roy Frieden
J. Opt. Soc. Am. 64(11) 1498-1502 (1974)

Effects of Coherence on the Degrees of Freedom of an Image

F. Gori and G. Guattari
J. Opt. Soc. Am. 61(1) 36-39 (1971)

Degrees of freedom of images from point-like-element pupils

F. Gori and G. Guattari
J. Opt. Soc. Am. 64(4) 453-458 (1974)

A priori information and the degrees of freedom of noisy images

Bahaa Saleh
J. Opt. Soc. Am. 67(1) 71-76 (1977)

Degrees of Freedom of an Image

G. Toraldo di Francia
J. Opt. Soc. Am. 59(7) 799-804 (1969)