Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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

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 June 12, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created February 1, 2003, Updated February 17, 2017