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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 24 — Aug. 20, 2013
  • pp: 6030–6040

Modeling of the general astigmatic Gaussian beam and its propagation through 3D optical systems

Evgenia Kochkina, Gudrun Wanner, Dennis Schmelzer, Michael Tröbs, and Gerhard Heinzel  »View Author Affiliations


Applied Optics, Vol. 52, Issue 24, pp. 6030-6040 (2013)
http://dx.doi.org/10.1364/AO.52.006030


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Abstract

The paper introduces the complete model of the general astigmatic Gaussian beam as the most general case of the Gaussian beam in the fundamental mode. This includes the laws of propagation, reflection, and refraction as well as the equations for extracting from the complex-valued beam description its real-valued parameters, such as the beam spot radii and the radii of curvature of the wavefront. The suggested model is applicable to the case of an oblique incidence of the beam at any 3D surface that can be approximated by the second-order equation at the point of incidence. Thus it can be used in simulations of a large variety of 3D optical systems. The provided experimental validation of the model shows good agreement with simulations.

© 2013 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(350.5500) Other areas of optics : Propagation
(080.2468) Geometric optics : First-order optics
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Geometric Optics

History
Original Manuscript: May 3, 2013
Revised Manuscript: July 17, 2013
Manuscript Accepted: July 21, 2013
Published: August 19, 2013

Citation
Evgenia Kochkina, Gudrun Wanner, Dennis Schmelzer, Michael Tröbs, and Gerhard Heinzel, "Modeling of the general astigmatic Gaussian beam and its propagation through 3D optical systems," Appl. Opt. 52, 6030-6040 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-24-6030

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