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