Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Complex argument Hermite–Gaussian and Laguerre–Gaussian beams

Not Accessible

Your library or personal account may give you access

Abstract

Hermite–Gaussian and Laguerre–Gaussian beams with complex arguments of the type introduced by Siegman [ J. Opt. Soc. Am. 63, 1093 ( 1973)] are shown to arise naturally in correction terms of a perturbation expansion whose leading term is the fundamental paraxial Gaussian beam. Additionally, they can all be expressed as derivatives of the fundamental Gaussian beam and as paraxial limits of multipole complex-source point solutions of the reduced-wave equation.

© 1986 Optical Society of America

Full Article  |  PDF Article
More Like This
Analytical theory of real-argument Laguerre–Gaussian beams beyond the paraxial approximation

Ilia A. Vovk, Nikita V. Tepliakov, Mikhail Yu. Leonov, Alexander V. Baranov, Anatoly V. Fedorov, and Ivan D. Rukhlenko
J. Opt. Soc. Am. A 34(10) 1940-1944 (2017)

Hermite–gaussian functions of complex argument as optical-beam eigenfunctions

A. E. Siegman
J. Opt. Soc. Am. 63(9) 1093-1094 (1973)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (43)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved