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

Embedding of focus wave modes into a wider class of approximate wave equation solutions

Not Accessible

Your library or personal account may give you access

Abstract

Focus wave modes are embedded into a wider class of solutions of the wave equation in the paraxial approximation. The generalizations of focus wave modes are made in regard to the following attributes: (1) a wave-packet envelope is admitted that moves with the group velocity in the direction opposite that of the focus envelope and (2) the velocity of the focus envelope can be chosen arbitrarily, in contrast to the group velocity. The Fourier spectrum of the generalized approximate solutions of the wave equation is calculated. This Fourier spectrum becomes singular on the dispersion surface with a strong correlation between frequencies and longitudinal components of the wave vectors in case of focus wave modes. The well-known Gaussian beam solutions with resting focus appear as another special case of the considered class of approximate solutions of the wave equation.

© 1989 Optical Society of America

Full Article  |  PDF Article
More Like This
Approximation of the scalar focus wave modes

Pierre Hillion
J. Opt. Soc. Am. A 9(1) 137-141 (1992)

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

Equations (64)

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