Abstract

We describe a reciprocal-lattice vector method for analysis of the diffractive self-imaging (or Talbot effect) of a two-dimensional periodic object. Using this method we analyze the fractional Talbot effect of a hexagonal array and deduce a simple analytical expression for calculation of the complex amplitude distribution at any fractional Talbot plane. Based on this new formula, we design a hexagonal array illuminator (HTAI) with a high fractional parameter. A computer simulation for demonstration of the HTAI is also given.

© 2007 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Reciprocal vector theory for diffractive self-imaging

Lin-Wei Zhu, Xia Yin, Zhengping Hong, and Cheng-Shan Guo
J. Opt. Soc. Am. A 25(1) 203-210 (2008)

Fresnel diffraction in fractional Talbot planes: a new formulation

Jan Westerholm, Jari Turunen, and Juhani Huttunen
J. Opt. Soc. Am. A 11(4) 1283-1290 (1994)

Analytic phase-factor equations for Talbot array illuminations

Changhe Zhou, Svetomir Stankovic, and Theo Tschudi
Appl. Opt. 38(2) 284-290 (1999)

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 (2)

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