A Fast Algorithm For Diffraction Calculations, And Some Applications

Jerome A Hudson

doi:10.1117/12.939578

19 December 1986 A Fast Algorithm For Diffraction Calculations, And Some Applications

Jerome A Hudson

Proceedings Volume 0679, Current Developments in Optical Engineering and Diffraction Phenomena; (1986) https://doi.org/10.1117/12.939578
Event: 30th Annual Technical Symposium, 1986, San Diego, United States

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.

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Jerome A Hudson "A Fast Algorithm For Diffraction Calculations, And Some Applications", Proc. SPIE 0679, Current Developments in Optical Engineering and Diffraction Phenomena, (19 December 1986); https://doi.org/10.1117/12.939578

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