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

Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms

Not Accessible

Your library or personal account may give you access

Abstract

The linear canonical transform may be used to simulate the effect of paraxial optical systems on wave fields. Using a recent definition of the discrete linear canonical transform, phase space diagram analyses of the sampling requirements of the direct method of calculating the Fresnel and other linear canonical transforms are more favorable than previously thought. Thus the direct method of calculating these transforms may be used with fewer samples than previously reported simply by making use of an appropriate reconstruction filter on the samples output by the algorithm.

© 2010 Optical Society of America

Full Article  |  PDF Article
More Like This
Fast linear canonical transforms

John J. Healy and John T. Sheridan
J. Opt. Soc. Am. A 27(1) 21-30 (2010)

Space–bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms

John J. Healy and John T. Sheridan
J. Opt. Soc. Am. A 28(5) 786-790 (2011)

Additional sampling criterion for the linear canonical transform

John J. Healy, Bryan M. Hennelly, and John T. Sheridan
Opt. Lett. 33(22) 2599-2601 (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

Figures (2)

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

Tables (1)

You do not have subscription access to this journal. Article tables 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