## Angular spectrum and localized model of Davis-type beam

JOSA A, Vol. 30, Issue 3, pp. 489-500 (2013)

http://dx.doi.org/10.1364/JOSAA.30.000489

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### Abstract

The angular spectrum of the Davis fifth-order linearly polarized, dual, and symmetrized fields of a focused Gaussian laser beam is obtained. Since the original Davis fields are not an exact solution of the vector wave equation and Maxwell’s equations, a beam remodeling procedure within the angular spectrum is described that produces an exact solution. The spherical multipole beam shape coefficients of the remodeled beam are then obtained, and it is shown that in the weak focusing limit they simplify to the localized model Gaussian beam shape coefficients for both on-axis and off-axis beams. The angular spectrum method is then applied to a transversely confined electromagnetic beam with arbitrary profile in the focal plane, and to a general zero-order Bessel beam.

© 2013 Optical Society of America

**OCIS Codes**

(260.2110) Physical optics : Electromagnetic optics

(290.4020) Scattering : Mie theory

(140.3295) Lasers and laser optics : Laser beam characterization

(290.5825) Scattering : Scattering theory

**ToC Category:**

Lasers and Laser Optics

**History**

Original Manuscript: December 10, 2012

Manuscript Accepted: January 8, 2013

Published: February 22, 2013

**Virtual Issues**

Vol. 8, Iss. 4 *Virtual Journal for Biomedical Optics*

**Citation**

James A. Lock, "Angular spectrum and localized model of Davis-type beam," J. Opt. Soc. Am. A **30**, 489-500 (2013)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-30-3-489

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