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Proceedings Paper

Hybrid fast Hankel transform implementation for optics simulation
Author(s): Paul K. Davis
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Paper Abstract

The most compute intensive part of a full optics simulation, especially including diffraction effects, is the Fourier transform between pupil and image spaces. This is typically performed as a two dimensional fast discrete transform. For a nearly radially symmetric system there are advantages to using polar coordinates, in which case the radial transform becomes a Hankel transform, using Bessel functions instead of circular functions. However, there are special difficulties in calculating and handling Bessel functions. Several solutions have been proposed. We present a hybrid Hankel transform which divides the domain, calculating a portion using Bessel function approximations but converting most of the domain into a one dimensional Fourier transform which can be handled by standard methods.

Paper Details

Date Published: 27 September 2013
PDF: 5 pages
Proc. SPIE 8840, Optical Modeling and Performance Predictions VI, 884002 (27 September 2013); doi: 10.1117/12.2024530
Show Author Affiliations
Paul K. Davis, NASA Ames Research Ctr. (United States)

Published in SPIE Proceedings Vol. 8840:
Optical Modeling and Performance Predictions VI
Mark A. Kahan; Marie B. Levine, Editor(s)

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