## Aberration reduction by multiple relays of an incoherent image

JOSA A, Vol. 21, Issue 10, pp. 1834-1840 (2004)

http://dx.doi.org/10.1364/JOSAA.21.001834

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### Abstract

Consider a generally aberrated one-dimensional (1D) optical pupil *P* illuminated by quasi-monochromatic light of mean wavelength *f* the *f*/number of the pupil. This Cauchy form for this intensity psf *f* the *f*/number of the (now) circular pupil. Thus, for these aberrations the 1D effect does carry over to the 2D case: The output psf does not depend on the aberrations and completely lacks sidelobes. However, when all aberrations are generally present, the output psf *θ* still preserves the circular Cauchy form, as a superposition of Cauchy functions. Imaging requirements for achieving these ideal effects are briefly discussed as well as probability laws for photons that are implied by the above-mentioned PSF’s

© 2004 Optical Society of America

**OCIS Codes**

(030.5290) Coherence and statistical optics : Photon statistics

(110.4190) Imaging systems : Multiple imaging

(220.1000) Optical design and fabrication : Aberration compensation

**History**

Original Manuscript: February 9, 2004

Revised Manuscript: May 18, 2004

Manuscript Accepted: May 18, 2004

Published: October 1, 2004

**Citation**

B. Roy Frieden, "Aberration reduction by multiple relays of an incoherent image," J. Opt. Soc. Am. A **21**, 1834-1840 (2004)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-10-1834

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### References

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