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

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