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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 6, Iss. 6 — Jun. 1, 1989
  • pp: 786–805

Certain computational aspects of vector diffraction problems

M. Mansuripur  »View Author Affiliations


JOSA A, Vol. 6, Issue 6, pp. 786-805 (1989)
http://dx.doi.org/10.1364/JOSAA.6.000786


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Abstract

Fourier decomposition of a given amplitude distribution into plane waves and the subsequent superposition of these waves after propagation is a powerful yet simple approach to diffraction problems. Many vector diffraction problems can be formulated in this way, and the classical results are usually the consequence of a stationary-phase approximation to the resulting integrals. For situations in which the approximation does not apply, a factorization technique is developed that substantially reduces the required computational resources. Numerical computations are based on the fast-Fourier-transform algorithm, and the practicality of this method is shown with several examples.

© 1989 Optical Society of America

History
Original Manuscript: July 6, 1988
Manuscript Accepted: December 20, 1988
Published: June 1, 1989

Citation
M. Mansuripur, "Certain computational aspects of vector diffraction problems," J. Opt. Soc. Am. A 6, 786-805 (1989)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-6-6-786

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