Abstract

Fresnel integrals corresponding to different distances can be interpreted as scaled fractional Fourier transformations observed on spherical reference surfaces. We show that by judiciously choosing sample points on these curved reference surfaces, it is possible to represent the diffracted signals in a nonredundant manner. The change in sample spacing with distance reflects the structure of Fresnel diffraction. This sampling grid also provides a simple and robust basis for accurate and efficient computation, which naturally handles the challenges of sampling chirplike kernels.

© 2011 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Fundamental structure of Fresnel diffraction: longitudinal uniformity with respect to fractional Fourier order

Haldun M. Ozaktas, Sercan Ö. Arık, and Türker Coşkun
Opt. Lett. 37(1) 103-105 (2012)

Fresnel diffraction and the fractional-order Fourier transform

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

Observing the fractional Fourier transform by free-space Fresnel diffraction

Jianwen Hua, Liren Liu, and Guoqiang Li
Appl. Opt. 36(2) 512-513 (1997)

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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (9)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription