## Matrix description of near-field diffraction and the fractional Fourier transform

JOSA A, Vol. 16, Issue 2, pp. 316-322 (1999)

http://dx.doi.org/10.1364/JOSAA.16.000316

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### Abstract

We describe a matrix multiplication procedure for evaluating the pixelated version of the near-field pattern of a discrete, one- or two-dimensional input. We show that for an input with *ϵ*. If the phase matrix is evaluated at

© 1999 Optical Society of America

**OCIS Codes**

(050.1960) Diffraction and gratings : Diffraction theory

(350.6980) Other areas of optics : Transforms

**History**

Original Manuscript: May 12, 1998

Revised Manuscript: October 16, 1998

Manuscript Accepted: October 22, 1998

Published: February 1, 1999

**Citation**

Sara Bradburn Tucker, Jorge Ojeda-Castañeda, and W. Thomas Cathey, "Matrix description of near-field diffraction and the fractional Fourier transform," J. Opt. Soc. Am. A **16**, 316-322 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-316

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### References

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