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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 25 — Sep. 1, 2001
  • pp: 4463–4472

Two innovations in diffraction calculations for cylindrically symmetrical systems

Eric L. Shirley and Matthew L. Terraciano  »View Author Affiliations


Applied Optics, Vol. 40, Issue 25, pp. 4463-4472 (2001)
http://dx.doi.org/10.1364/AO.40.004463


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Abstract

Two mathematical innovations are presented that relate to calculating propagation of radiation through cylindrically symmetrical systems using Kirchhoff diffraction theory. The first innovation leads to an efficient means of computing Lommel functions of two arguments (u and ν), typically denoted by U n (u, ν) and V n (u, ν). This can accelerate computations involving Fresnel diffraction by circular apertures or lenses. The second innovation facilitates calculations of Kirchhoff diffraction integrals without recourse to the Fresnel approximation, yet with greatly improved efficiency like that characteristic of the latter approximation.

© 2001 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(120.5630) Instrumentation, measurement, and metrology : Radiometry

History
Original Manuscript: July 28, 2000
Revised Manuscript: March 27, 2001
Published: September 1, 2001

Citation
Eric L. Shirley and Matthew L. Terraciano, "Two innovations in diffraction calculations for cylindrically symmetrical systems," Appl. Opt. 40, 4463-4472 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-25-4463

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