By taking the coupling between the non-neighbourhood waveguides into account, the coupling characteristic of three waveguide arrays is analysed. The strong coupling equation of three waveguides is dealt with Laplace transform and LU decomposition. The general field evolution equation is obtained by inversion of the Laplace transform. The results show that the self-imaging conditions (Talbot effect) do not satisfy in general. The theoretical predictions are in good agreement with the BPM simulations.
By taking the coupling between the non-neighbourhood waveguides into account, the coupling characteristic of three waveguide arrays is analysed. The strong coupling equation of three waveguides is dealt with Laplace transform and LU decomposition. The general field evolution equation is obtained by inversion of the Laplace transform. The results show that the self-imaging conditions (Talbot effect) do not satisfy in general. The theoretical predictions are in good agreement with the BPM simulations.
LI Zhi;ZHOU Hai-Feng;YANG Jian-Yi;JIANG Xiao-Qing. Talbot Effect in Three Waveguide Arrays[J]. 中国物理快报, 2008, 25(9): 3307-3310.
LI Zhi, ZHOU Hai-Feng, YANG Jian-Yi, JIANG Xiao-Qing. Talbot Effect in Three Waveguide Arrays. Chin. Phys. Lett., 2008, 25(9): 3307-3310.
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2008, Vol. 25 
