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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 22 — Aug. 1, 2007
  • pp: 5056–5061

Modeling laser beam diffraction and propagation by the mode-expansion method

James J. Snyder  »View Author Affiliations

Applied Optics, Vol. 46, Issue 22, pp. 5056-5061 (2007)

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In the mode-expansion method for modeling propagation of a diffracted beam, the beam at the aperture can be expanded as a weighted set of orthogonal modes. The parameters of the expansion modes are chosen to maximize the weighting coefficient of the lowest-order mode. As the beam propagates, its field distribution can be reconstructed from the set of weighting coefficients and the Gouy phase of the lowest-order mode. We have developed a simple procedure to implement the mode-expansion method for propagation through an arbitrary ABCD matrix, and we have demonstrated that it is accurate in comparison with direct calculations of diffraction integrals and much faster.

© 2007 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

Original Manuscript: January 31, 2007
Revised Manuscript: April 26, 2007
Manuscript Accepted: May 18, 2007
Published: July 9, 2007

James J. Snyder, "Modeling laser beam diffraction and propagation by the mode-expansion method," Appl. Opt. 46, 5056-5061 (2007)

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