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

Eigenmodes of fractional Hankel transform derived by the entangled-state method

Not Accessible

Your library or personal account may give you access

Abstract

Using the entangled-state method in quantum mechanics, we find that the eigenmodes of the fractional Hankel transform are two-variable Hermite–Gaussian functions that can be rewritten in a clearer form as Laguerre polynominals.

© 2003 Optical Society of America

Full Article  |  PDF Article
More Like This
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)

Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics

Hong-Yi Fan, Li-yun Hu, and Ji-suo Wang
J. Opt. Soc. Am. A 25(4) 974-978 (2008)

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 (31)

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