Share Email Print
cover

Proceedings Paper

Hybrid fast Hankel transform implementation for optics simulation
Author(s): Paul K. Davis
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

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)

© SPIE. Terms of Use
Back to Top