Propagation law for Hermite- and Laguerre-Gaussian beams in first-order optical systems

M.J. Bastiaans, T. Alieva

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Abstract

Starting from Hermite-Gaussian beams, we generate a general class of rotationally symmetric beams. These beams are Laguerre-Gaussian beams, parameterized by two parameters h and g, representing the curvature and the width of the beam, respectively. The Wigner distribution of each member of this class is readily derived from the Wigner distribution of the Hermite-Gaussian beam from which it is generated. If these Laguerre-Gaussian beams propagate through an isotropic abcd-system, they remain in their class, while the propagation of the complex beam parameter h+ig (or h-ig) satisfies the well-known abcd-law.
Original languageEnglish
Title of host publicationICO-20, 20th Congress of the International Commission for Optics, Challenging Optics in Science and Technology, Changchun, China
EditorsY. Sheng, S. Zhuang, Y. Zhang
Place of PublicationBellingham
PublisherSPIE
Pages0403.031-1/8
DOIs
Publication statusPublished - 2005

Publication series

NameProceedings of SPIE
Volume6027
ISSN (Print)0277-786X

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