## Decentered elliptical Hermite–Gaussian beam

JOSA A, Vol. 20, Issue 6, pp. 1111-1119 (2003)

http://dx.doi.org/10.1364/JOSAA.20.001111

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### Abstract

A new kind of laser beam called the decentered elliptical Hermite–Gaussian beam (DEHGB) is defined by use of a tensor method. The propagation formula of the DEHGB passing through a nonsymmetrical paraxial optical system is derived through vector integration. The derived formula can be easily reduced to the propagation formula of an aligned elliptical Hermite–Gaussian beam and that of a decentered elliptical Gaussian beam under certain conditions. By use of this formula, the propagation characteristics of the DEHGB through free space are presented graphically. As application examples, we construct a generalized laser array using the DEHGB as the fundamental mode. We also obtain the decentered elliptical flattened Gaussian beam by expressing it as superposition of a series of DEHGBs by using polynomial expansion.

© 2003 Optical Society of America

**OCIS Codes**

(140.3290) Lasers and laser optics : Laser arrays

(140.3300) Lasers and laser optics : Laser beam shaping

(350.5500) Other areas of optics : Propagation

**History**

Original Manuscript: September 4, 2002

Revised Manuscript: February 3, 2003

Manuscript Accepted: February 3, 2003

Published: June 1, 2003

**Citation**

Yangjian Cai and Qiang Lin, "Decentered elliptical Hermite–Gaussian beam," J. Opt. Soc. Am. A **20**, 1111-1119 (2003)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-6-1111

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