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

Propagation of Laguerre–Bessel–Gaussian beams

Not Accessible

Your library or personal account may give you access

Abstract

New exact solutions to the paraxial wave equation are obtained in the form of a product of Laguerre polynomials, Bessel functions, and Gaussian functions. In the limit of large Laguerre–Gaussian beam size, the Bessel factor dominates and the solution sets reduce to the modes of closed resonators, hollow metal waveguides, and dielectric waveguides. In the opposite limit the solutions reduce to Laguerre–Gaussian modes of open resonators and graded-index waveguides. These solutions are valid for electromagnetic waves traveling through free space, and they are valid for propagation through circularly symmetric optical systems representable by ABCD matrices as well. An interesting feature of the new solution set is the existence of three mode indices, where only two are required for an orthogonal expansion. As an example, Laguerre–Gaussian beam propagation through an optical system that contains a Bessel-like amplitude filter is discussed.

© 2000 Optical Society of America

Full Article  |  PDF Article
More Like This
Production and propagation of cylindrically polarized Laguerre–Gaussian laser beams

Anthony A. Tovar
J. Opt. Soc. Am. A 15(10) 2705-2711 (1998)

Production and propagation of Hermite–sinusoidal-Gaussian laser beams

Anthony A. Tovar and Lee W. Casperson
J. Opt. Soc. Am. A 15(9) 2425-2432 (1998)

Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams

Zhangrong Mei and Daomu Zhao
Opt. Express 15(19) 11942-11951 (2007)

References

You do not have subscription access to this journal. Citation lists with outbound citation 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

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

Figures (2)

You do not have subscription access to this journal. Figure files 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 (65)

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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved