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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

  • Vol. 20, Iss. 6 — Jun. 1, 2003
  • pp: 1111–1119

Decentered elliptical Hermite–Gaussian beam

Yangjian Cai and Qiang Lin  »View Author Affiliations


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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