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

Exact nonparaxial beams of the scalar Helmholtz equation

Not Accessible

Your library or personal account may give you access

Abstract

It is shown that three-dimensional nonparaxial beams are described by the oblate spheroidal exact solutions of the Helmholtz equation. For what is believed to be the first time, their beam behavior is investigated and their corresponding parameters are defined. Using the fact that the beam width of the family of paraxial Gaussian beams is described by a hyperbola, we formally establish the connection between the physical parameters of nonparaxial spheroidal beam solutions and those of paraxial beams. These results are also helpful for investigating exact vector nonparaxial beams.

© 2004 Optical Society of America

Full Article  |  PDF Article
More Like This
Scalar field of nonparaxial Gaussian beams

Z. Ulanowski and I. K. Ludlow
Opt. Lett. 25(24) 1792-1794 (2000)

Gaussian amplitude functions that are exact solutions to the scalar Helmholtz equation

B. Tehan Landesman and H. H. Barrett
J. Opt. Soc. Am. A 5(10) 1610-1619 (1988)

Partially coherent nonparaxial beams

Kailiang Duan and Baida Lü
Opt. Lett. 29(8) 800-802 (2004)

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 (3)

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 (4)

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