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Applied Optics

Applied Optics


  • Vol. 41, Iss. 21 — Jul. 20, 2002
  • pp: 4336–4340

Decentered elliptical Gaussian beam

Yangjian Cai and Qiang Lin  »View Author Affiliations

Applied Optics, Vol. 41, Issue 21, pp. 4336-4340 (2002)

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A new kind of laser beam, called a decentered elliptical Gaussian beam (DEGB), is defined by a tensor method. The propagation formula for a DEGB passing through an axially nonsymmetrical paraxial optical system is derived through vector integration. The derived formula can be reduced to the formula for a fundamental elliptical Gaussian beam and a decentered Gaussian beam under certain conditions. As an example application of the derived formula, the propagation characteristics of a DEGB in free space are calculated and discussed. As another example we study the properties of a generalized laser beam array constructed by use of a DEGB as the fundamental mode.

© 2002 Optical Society of America

OCIS Codes
(140.3290) Lasers and laser optics : Laser arrays
(140.3300) Lasers and laser optics : Laser beam shaping

Original Manuscript: September 4, 2001
Revised Manuscript: April 22, 2002
Published: July 20, 2002

Yangjian Cai and Qiang Lin, "Decentered elliptical Gaussian beam," Appl. Opt. 41, 4336-4340 (2002)

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