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《Acta Optica Sinica》 2008-01
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Numerical Calculation of Imaging Positions in Multimode Interference Couplers by the Three-Dimensional Beam Propagation Method

Yan Chaojun(Department of Electronic Engineering,College of Electrical Engineering and Information Technology,Three Gorges University,Yichang,Hubei 443002,China)  
In order to design and make multimode interference(MMI) couplers,the imaging positions must be located accurately.The implicit finite difference beam propagation method(BPM) in three-dimensional alternate directions is used for the analysis of strongly guided and weakly guided multimode interference couplers.The length of multimode waveguide,the positions of input guides and output guides are determined precisely.The equivalent width W_eq and the beat length L_c of two lowest modes of multimode waveguide are obtained first by the numeric modeling of a symmetric interference MMI,and then these parameters together with BPM are used for the device design.The imaging positions showed the close results between BPM and the predictions of the mode propagation analysis(MPA) theory,however,W_eq and L_c were obtained by the BPM,MPA theory will not give any result without these parameters.The three dimensional(3D) waveguides are not treated as 2D waveguides by means of effective index method(EI),therefore,this method can be used directly to 3D waveguides.As a kind of numerical method,some normal approximations are not introduced as MPA theory,so it will ensure the precision of calculation and can afford reference for practical MMI device design.
【CateGory Index】: TN622
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