Implicit Yee-Mesh-Based Finite-Difference Full-Vectorial Beam-Propagation Method
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A novel Yee-mesh-based finite-difference fullvectorialbeam-propagation method is proposed with the aid of animplicit scheme. The efficient algorithm is developed by splittingthe propagation axis into two steps. The eigenmode analysisof a rib waveguide is performed using the imaginary-distanceprocedure. The results show that the present method offers reductionin computational time and memory, while maintainingthe same accuracy as the conventional explicit Yee-mesh-basedimaginary-distance beam-propagation method. It is demonstratedby the analysis of a polarization converter that the present methodcan be used for not only the eigenmode analysis but also thepropagating beam analysis.
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