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Proceedings Paper

A Fast Algorithm For Diffraction Calculations, And Some Applications
Author(s): Jerome A Hudson
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Paper Abstract

The author has developed a computational algorithm for the calculation of Kirchoff-Fresnel diffraction in optical systems and radio antennas [1]. It can be used for investigating the complex amplitude of a wavefront in most regions of interest in imaging optical systems. The method employs the two-dimensional Fast Fourier Transform (FFT), and thus is computable in time proportional to N log N, where N is the number of picture elements in the wavefronts to be analyzed. The paper consists of two parts: Part I briefly describes the algorithm, discusses computational errors, and gives some comparisons to other calculations. Part II describes several applications in which the algorithm has been used, including the design of a lens for the improved efficiency of radio antennas, and the study of aberrations in optical systems.

Paper Details

Date Published: 19 December 1986
PDF: 7 pages
Proc. SPIE 0679, Current Developments in Optical Engineering and Diffraction Phenomena, (19 December 1986); doi: 10.1117/12.939578
Show Author Affiliations
Jerome A Hudson, Consultant (United States)

Published in SPIE Proceedings Vol. 0679:
Current Developments in Optical Engineering and Diffraction Phenomena
Robert E. Fischer; James E. Harvey; Warren J. Smith, Editor(s)

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