Accurate efficient evaluation of Lommel functions for arbitrarily large arguments

Metrologia

Volumn 40, Issue 1 SPEC., 2003, Pages

  Shirley, Eric L ^a   Chang, Eric K ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; CALCULATIONS; DIFFRACTION; INTEGRATION; OPTICAL SYSTEMS;

CONTOUR INTEGRATION; LOMMEL FUNCTIONS;

FUNCTION EVALUATION;

EID: 0037224008     PISSN: 00261394     EISSN: None     Source Type: Journal    
DOI: 10.1088/0026-1394/40/1/003     Document Type: Article

References (7)

1. Lommel E 1885 Die Beugungserscheinungen einer kreisrunden Oeffnung und eines kreisrunden Schirmschens theoretisch und experimentell Bearbeitet Abh. Bayer, Akad. 15 233-28
2. Stamnes J J 1986 Waves in Focal Regions (Bristol: Adam Hilger)
3. Shirley E L and Terraciano M L 2001 Two innovations in diffraction calculations for cylindrically symmetrical system Appl. Opt. 40 4463-72
4. Born M and Wolf E 1975 Principles of Optics 5th edn (New York: Pergamon)
5. Olver F W J 1997 Asymptotics and Special Functions (Wellesley, MA: Peters) p 238
6. Stroud A H and Secrest D 1996 Gaussian Quadrature Formulas (Englewood Cliffs, NJ: Prentice Hall)
7. Marchand E W and Wolf E 1962 Boundary diffraction wave in the domain of the Rayleigh-Kirchhoff diffraction theory J. Opt. Soc. Am. 52 761-7