## Partial-wave expansions of angular spectra of plane waves

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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