## Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams

JOSA A, Vol. 11, Issue 9, pp. 2503-2515 (1994)

http://dx.doi.org/10.1364/JOSAA.11.002503

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### Abstract

Generalized Lorenz–Mie theory describes electromagnetic scattering of an arbitrary light beam by a spherical particle. The computationally most expensive feature of the theory is the evaluation of the beam-shape coefficients, which give the decomposition of the incident light beam into partial waves. The so-called localized approximation to these coefficients for a focused Gaussian beam is an analytical function whose use greatly simplifies Gaussian-beam scattering calculations. A mathematical justification and physical interpretation of the localized approximation is presented for on-axis beams.

© 1994 Optical Society of America

**History**

Original Manuscript: September 29, 1993

Revised Manuscript: February 14, 1994

Manuscript Accepted: March 14, 1994

Published: September 1, 1994

**Citation**

James A. Lock and Gérard Gouesbet, "Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams," J. Opt. Soc. Am. A **11**, 2503-2515 (1994)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-9-2503

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