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Proceedings Paper

The fractional Talbot effect of two-dimensional array
Author(s): Weijuan Qu; Liren Liu; De'an Liu; Zu Luan; Nan Xu
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Paper 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.

Paper Details

Date Published: 18 August 2005
PDF: 9 pages
Proc. SPIE 5867, Optical Modeling and Performance Predictions II, 586712 (18 August 2005); doi: 10.1117/12.612711
Show Author Affiliations
Weijuan Qu, Shanghai Institute of Optics and Fine Mechanics, CAS (China)
Liren Liu, Shanghai Institute of Optics and Fine Mechanics, CAS (China)
De'an Liu, Shanghai Institute of Optics and Fine Mechanics, CAS (China)
Zu Luan, Shanghai Institute of Optics and Fine Mechanics, CAS (China)
Nan Xu, Shanghai Institute of Optics and Fine Mechanics, CAS (China)


Published in SPIE Proceedings Vol. 5867:
Optical Modeling and Performance Predictions II
Mark A. Kahan, Editor(s)

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