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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 22 — Aug. 1, 2006
  • pp: 5758–5766

Propagation of a decentered elliptical Gaussian beam through apertured aligned and misaligned paraxial optical systems

Yangjian Cai and Lei Zhang  »View Author Affiliations


Applied Optics, Vol. 45, Issue 22, pp. 5758-5766 (2006)
http://dx.doi.org/10.1364/AO.45.005758


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Abstract

By expanding the hard aperture function into a finite sum of complex Gaussian functions, approximate analytical formulas for a decentered Gaussian beam (DEGB) passing through apertured aligned and misaligned paraxial apertured paraxial optical systems are derived in terms of a tensor method. The results obtained by using the approximate analytical expression are in good agreement with those obtained by using the numerical integral calculation. Furthermore, approximate analytical formulas for a decentered elliptical Hermite–Gaussian beam (DEHGB) through apertured paraxial optical systems are derived. As an application example, approximate analytical formulas for a decentered elliptical flattened Gaussian beam through apertured paraxial optical systems are derived. Our results provide a convenient way for studying the propagation and transformation of a DEGB and a DEHGB through apertured paraxial optical systems.

© 2006 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: September 6, 2005
Revised Manuscript: February 17, 2006
Manuscript Accepted: February 17, 2006

Citation
Yangjian Cai and Lei Zhang, "Propagation of a decentered elliptical Gaussian beam through apertured aligned and misaligned paraxial optical systems," Appl. Opt. 45, 5758-5766 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-22-5758


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