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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

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2394–2401

Paraxial propagation of a partially coherent Hermite–Gaussian beam through aligned and misaligned ABCD optical systems

Yangjian Cai and Chiyi Chen  »View Author Affiliations


JOSA A, Vol. 24, Issue 8, pp. 2394-2401 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002394


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Abstract

Paraxial propagation of a partially coherent Hermite–Gaussian beam through aligned and misaligned ABCD optical systems is investigated based on the generalized Collins formula for treating the propagation of a partially coherent beam through such optical systems. Analytical formulas for the cross-spectral density of a partially coherent Hermite–Gaussian beam propagating through such optical systems are derived. As an application example, we derive the propagation formulas for a partially coherent flattened Gaussian beam by expressing it as a superposition of a series of partially coherent Hermite–Gaussian beams by using polynomial expansion. The focusing properties of a partially coherent Hermite–Gaussian beam focused by a thin lens are studied as a numerical example.

© 2007 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: February 13, 2007
Revised Manuscript: April 13, 2007
Manuscript Accepted: April 16, 2007
Published: July 11, 2007

Citation
Yangjian Cai and Chiyi Chen, "Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems," J. Opt. Soc. Am. A 24, 2394-2401 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-8-2394

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