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Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Vol. 4, Iss. 5 — May. 10, 2006
  • pp: 255–258

Transformation of general astigmatic Gaussian beams in a four-dimensional phase space

Baoxin Chen  »View Author Affiliations


Chinese Optics Letters, Vol. 4, Issue 5, pp. 255-258 (2006)


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Abstract

A phase space model of two-dimensional (2D) Gaussian beam propagation is generalized for three-dimensional (3D) general astigmatic Gaussian beam passing through first-order optical system. The general astigmatic Gaussian beam is represented by a four-dimensional (4D) phase super-ellipsoid that defined by an associated 4*4 real matrix, then the transformation formula of the phase super-ellipsoid of the beam through first-order optical system is derived. In particular, in the phase space framework, the beam propagation factor M2 value is proved to be a ratio of phase area of real beam to ideal beam, and a novel approach for a qualitative examination of the properties of fractional Fourier transform (FRT) for the beam is also provided.

© 2006 Chinese Optics Letters

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(080.2730) Geometric optics : Matrix methods in paraxial optics
(140.3300) Lasers and laser optics : Laser beam shaping

Citation
Baoxin Chen, "Transformation of general astigmatic Gaussian beams in a four-dimensional phase space," Chin. Opt. Lett. 4, 255-258 (2006)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-4-5-255

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