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

Ince–Gaussian series representation of the two-dimensional fractional Fourier transform

Not Accessible

Your library or personal account may give you access

Abstract

We introduce the Ince–Gaussian series representation of the two-dimensional fractional Fourier transform in elliptical coordinates. A physical interpretation is provided in terms of field propagation in quadratic graded-index media whose eigenmodes in elliptical coordinates are derived for the first time to our knowledge. The kernel of the new series representation is expressed in terms of Ince–Gaussian functions. The equivalence among the Hermite–Gaussian, Laguerre–Gaussian, and Ince–Gaussian series representations is verified by establishing the relation among the three definitions.

© 2005 Optical Society of America

Full Article  |  PDF Article
More Like This
Elegant Ince–Gaussian beams

Miguel A. Bandres
Opt. Lett. 29(15) 1724-1726 (2004)

Ince–Gaussian beams in a quadratic-index medium

Julio C. Gutiérrez-Vega and Miguel A. Bandres
J. Opt. Soc. Am. A 22(2) 306-309 (2005)

Ince–Gaussian beams

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 29(2) 144-146 (2004)

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 (22)

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