Abstract

We reexamine a previously published algorithm for performing a fast Fresnel diffraction calculation that uses two Fourier transform operations and is computationally much faster than the conventional approach. We analyze this technique using a ray matrix analysis and find explicit expressions for the maximum and minimum distances over which this algorithm is accurate. These distances coincide with the experimental distances that are appropriate when patterns are encoded onto liquid crystal displays. We show two examples that confirm our ideas. We expect that these results will be very useful for computational comparison with experimental studies of a variety of diffraction phenomena.

©2012 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Analysis of the propagation dynamics and Gouy phase of Airy beams using the fast Fresnel transform algorithm

Don M. Cottrell, Jeffrey A. Davis, Cassidy A. Berg, and Christopher Li Freeman
Appl. Opt. 53(10) 2112-2116 (2014)

Anamorphic and spatial frequency dependent phase modulation on liquid crystal displays. Optimization of the modulation diffraction efficiency

Andrés Márquez, Claudio Iemmi, Ignacio Moreno, Juan Campos, and María J. Yzuel
Opt. Express 13(6) 2111-2119 (2005)

Matrix formulation of the Fresnel transform of complex transmittance gratings

Victor Arrizón, Juan G. Ibarra, and J. Ojeda-Castañeda
J. Opt. Soc. Am. A 13(12) 2414-2422 (1996)

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

Figures (4)

You do not have subscription access to this journal. Figure files 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 (18)

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