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

Fundamental structure of Fresnel diffraction: longitudinal uniformity with respect to fractional Fourier order

Not Accessible

Your library or personal account may give you access

Abstract

Fresnel integrals corresponding to different distances can be interpreted as scaled fractional Fourier transformations observed on spherical reference surfaces. Transverse samples can be taken on these surfaces with separation that increases with propagation distance. Here, we are concerned with the separation of the spherical reference surfaces along the longitudinal direction. We show that these surfaces should be equally spaced with respect to the fractional Fourier transform order, rather than being equally spaced with respect to the distance of propagation along the optical axis. The spacing should be of the order of the reciprocal of the space-bandwidth product of the signals. The space-dependent longitudinal and transverse spacings define a grid that reflects the structure of Fresnel diffraction.

©2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Fundamental structure of Fresnel diffraction: natural sampling grid and the fractional Fourier transform

Haldun M. Ozaktas, Sercan Ö Arık, and Türker Coşkun
Opt. Lett. 36(13) 2524-2526 (2011)

Fresnel diffraction and the fractional-order Fourier transform

Pierre Pellat-Finet
Opt. Lett. 19(18) 1388-1390 (1994)

Second-order fractional Fourier transform with incoherent radiation

Yangjian Cai and Shi-Yao Zhu
Opt. Lett. 30(4) 388-390 (2005)

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

Equations (7)

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