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PUBLICATIONS

Accurate Efficient Evaluation of Lommel Functions for Arbitrarily Large Arguments

Published

Author(s)

Eric L. Shirley, E K. Chang

Abstract

It can be difficult to evaluate Lommel functions U_n(u,v) and V_n(u,v) when u and v are both large. Here, we present an accurate means to evaluate such functions using contour integration. The approach suggests the potential for developing analogous techniques in diffraction calculations for many optical systems.
Citation
Metrologia
Volume
40
Issue
No. 1
Pub Type
Journals

Keywords

aperture, circular, diffraction, effcient algorithm, Fresnel, lens, Lommel functions

Citation

Shirley, E. and Chang, E. (2003), Accurate Efficient Evaluation of Lommel Functions for Arbitrarily Large Arguments, Metrologia (Accessed October 27, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created February 1, 2003, Updated February 17, 2017
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