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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2803–2809

Partial-wave expansions of angular spectra of plane waves

James A. Lock  »View Author Affiliations


JOSA A, Vol. 23, Issue 11, pp. 2803-2809 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002803


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Abstract

Focused electromagnetic beams are frequently modeled by either an angular spectrum of plane waves or a partial-wave sum of spherical multipole waves. The connection between these two beam models is explored here. The partial-wave expansion of an angular spectrum containing evanescent components is found to possess only odd partial waves. On the other hand, the partial-wave expansion of an alternate angular spectrum constructed so as to be free of evanescent components contains all partial waves but describes a propagating beam with a small amount of standing-wave component mixed in. A procedure is described for minimizing the standing-wave component so as to more accurately model a purely forward propagating experimental beam.

© 2006 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(290.4020) Scattering : Mie theory

ToC Category:
Scattering

History
Original Manuscript: March 16, 2006
Revised Manuscript: May 22, 2006
Manuscript Accepted: May 23, 2006

Citation
James A. Lock, "Partial-wave expansions of angular spectra of plane waves," J. Opt. Soc. Am. A 23, 2803-2809 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-11-2803

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