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

Fractional Hankel transform studied by charge-amplitude state representations and complex fractional Fourier transformation

Not Accessible

Your library or personal account may give you access

Abstract

Starting from a complex fractional Fourier transformation [Opt. Lett. 28, 680 (2003)], it is shown that the integral kernel of a fractional Hankel transformation is equivalent to the matrix element of an appropriate operator in the charge-amplitude state representations; i.e., the fractional Hankel transformation is endowed with a definite physical meaning (definite quantum-mechanical representation transform).

© 2003 Optical Society of America

Full Article  |  PDF Article
More Like This
Eigenmodes of fractional Hankel transform derived by the entangled-state method

Hong-Yi Fan and Hai-Liang Lu
Opt. Lett. 28(9) 680-682 (2003)

Deriving the integral representation of a fractional Hankel transform from a fractional Fourier transform

Li Yu, Yingyang Lu, Xiaoming Zeng, Meichun Huang, Mouzhi Chen, Wenda Huang, and Zizhong Zhu
Opt. Lett. 23(15) 1158-1160 (1998)

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

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 30(5) 540-542 (2005)

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 (29)

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