The fractional Talbot effect of two-dimensional array

Weijuan Qu; Liren Liu; De'an Liu; Zu Luan; Nan Xu

doi:10.1117/12.612711

18 August 2005 The fractional Talbot effect of two-dimensional array

Weijuan Qu, Liren Liu, De'an Liu, Zu Luan, Nan Xu

Proceedings Volume 5867, Optical Modeling and Performance Predictions II; 586712 (2005) https://doi.org/10.1117/12.612711
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

In this paper, we theoretically prove the fractional self-imaging effect of the two-dimensional array with arbitrary shape and symmetry, using scalar diffraction theory and the known periodic self-Fourier-Fresnel transform function comb(x , y). As a result, we also got a general equation to calculate the phase of the fractional Talbot image of the two-dimensional array. As an example, we numerically evaluate the intensity distribution of the diamond array in triangular symmetry in the fractional Talbot plane using Matlab, The result is a good agreement with the theory.

Citation Download Citation

Weijuan Qu, Liren Liu, De'an Liu, Zu Luan, and Nan Xu "The fractional Talbot effect of two-dimensional array", Proc. SPIE 5867, Optical Modeling and Performance Predictions II, 586712 (18 August 2005); https://doi.org/10.1117/12.612711

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available