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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 32, Iss. 30 — Oct. 20, 1993
  • pp: 5885–5892

Nonlinear propagation and transformation of arbitrary laser beams by means of the generalized ABCD formalism

Miguel A. Porras, Javier Alda, and Eusebio Bernabeu  »View Author Affiliations


Applied Optics, Vol. 32, Issue 30, pp. 5885-5892 (1993)
http://dx.doi.org/10.1364/AO.32.005885


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Abstract

The evolution of non-Gaussian and nonspherical high-power laser beams in cubic nonlinear media is described by means of their mean or gross parameters: width, mean curvature radius, and quality factor. The influence of the beam over its own propagation is contained in a new mean parameter that measures the ability of a beam to build its own waveguide. Beam quality and threshold power for self-focusing are connected. The ABCD and invariance laws for modified complex beam parameter and quality factor allow one to transform in one step the mean beam parameters through a sequence of nonlinear propagations, lenses, mirrors, and nonlinear quadratic graded index.

© 1993 Optical Society of America

History
Original Manuscript: July 16, 1992
Published: October 20, 1993

Citation
Miguel A. Porras, Javier Alda, and Eusebio Bernabeu, "Nonlinear propagation and transformation of arbitrary laser beams by means of the generalized ABCD formalism," Appl. Opt. 32, 5885-5892 (1993)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-32-30-5885

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