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

Bessel–Gauss beams as rigorous solutions of the Helmholtz equation

Not Accessible

Your library or personal account may give you access

Abstract

The study of the nonparaxial propagation of optical beams has received considerable attention. In particular, the so-called complex-source/sink model can be used to describe strongly focused beams near the beam waist, but this method has not yet been applied to the Bessel–Gauss (BG) beam. In this paper, the complex-source/sink solution for the nonparaxial BG beam is expressed as a superposition of nonparaxial elegant Laguerre–Gaussian beams. This provides a direct way to write the explicit expression for a tightly focused BG beam that is an exact solution of the Helmholtz equation. It reduces correctly to the paraxial BG beam, the nonparaxial Gaussian beam, and the Bessel beam in the appropriate limits. The analytical expression can be used to calculate the field of a BG beam near its waist, and it may be useful in investigating the features of BG beams under tight focusing conditions.

© 2011 Optical Society of America

Full Article  |  PDF Article
More Like This
Nonparaxial BesselGauss beams

Riccardo Borghi, Massimo Santarsiero, and Miguel A. Porras
J. Opt. Soc. Am. A 18(7) 1618-1626 (2001)

Virtual source for the Bessel–Gauss beam

S. R. Seshadri
Opt. Lett. 27(12) 998-1000 (2002)

Relationship between elegant Laguerre–Gauss and Bessel–Gauss beams

Miguel A. Porras, Riccardo Borghi, and Massimo Santarsiero
J. Opt. Soc. Am. A 18(1) 177-184 (2001)

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 (6)

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 (27)

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