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

Quasi-Talbot effect of a grating in the deep Fresnel diffraction region

Not Accessible

Your library or personal account may give you access

Abstract

Based on the theory of scalar diffraction, the diffraction of gratings in the deep Fresnel diffraction region is developed, and the general formula of the diffraction intensity of the one-dimensional grating is presented by using the Hankel function. Through numerical calculations, some interesting diffraction phenomena are found. In the deep Fresnel diffraction region, the dominant effects, with increasing propagation distance from the grating, are, in order, the geometrical effect, the quasi-geometrical effect, and the interference and diffraction effects. Furthermore, the diffraction intensities vary periodically in the diffraction effect region with increasing propagation distance. Quasi-Talbot imaging of the grating exists in the interference and diffraction regions, and the intensity distributions most similar to the structure of the grating are not at the exact Talbot distances. These phenomena in the deep Fresnel diffraction region are distinct from those in the Fresnel diffraction region. The formation origin of quasi-Talbot imaging of the grating is also discussed, and the numerical calculations powerfully verify the theoretical results.

© 2007 Optical Society of America

Full Article  |  PDF Article
More Like This
Diffraction of a one-dimensional phase grating in the deep Fresnel field

Shuyun Teng, Ningyu Zhang, Qingrui Dong, and Chuanfu Cheng
J. Opt. Soc. Am. A 24(11) 3636-3643 (2007)

Quasi-Talbot effect of the high-density grating in near field

Shuyun Teng, Yugui Tan, and Chuanfu Cheng
J. Opt. Soc. Am. A 25(12) 2945-2951 (2008)

Talbot effect of quasi-periodic grating

Chong Zhang, Wei Zhang, Furui Li, Junhong Wang, and Shuyun Teng
Appl. Opt. 52(21) 5083-5087 (2013)

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 (11)

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

Equations (23)

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