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

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Corrections

M. Mansuripur, "Distribution of light at and near the focus of high-numerical-aperture objectives: erratum Certain computational aspects of vector diffraction problems: erratum," J. Opt. Soc. Am. A 10, 382-383 (1993)
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-10-2-382

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