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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 4 — Feb. 21, 2005
  • pp: 1107–1112

Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems

Martin J. Bastiaans and Tatiana Alieva  »View Author Affiliations

Optics Express, Vol. 13, Issue 4, pp. 1107-1112 (2005)

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Based on the common Hermite-Gaussian modes, a general class of orthonormal sets of Hermite-Gaussian-type modes is introduced. Such modes can most easily be defined by means of their generating function. It is shown that these modes remain in their class of orthonormal Hermite-Gaussian-type modes, when they propagate through first-order optical systems. A propagation law for the generating function is formulated.

© 2005 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4690) Fourier optics and signal processing : Morphological transformations
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation

ToC Category:
Research Papers

Original Manuscript: November 30, 2004
Revised Manuscript: November 26, 2004
Published: February 21, 2005

Martin Bastiaans and Tatiana Alieva, "Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems," Opt. Express 13, 1107-1112 (2005)

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