Certain computational aspects of vector diffraction problems

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153 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)786-805
Number of pages20
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume6
Issue number6
DOIs
Publication statusPublished - 1989

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition
  • Electronic, Optical and Magnetic Materials

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