A study on topology optimization method based on finite element and beam propagation method for photonic circut devices

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In order to establish the automatic optimal design method to realize high performance optical devices,which are required in the future high-speed and large-capacity photonic network,the optimal design method based on finite element and beam propagation method has been developed. First, the numerical expression method of refractive index distribution in the design region and the simplification of the optimized structure have been discussed, Next, in order to improve the numerical accuracy of finite element method, the adaptive mesh generation and the higher order edge/nodal hybrid element has been developed, and the search algorithms of global optimal solution have been also discussed. Finally, in order to confirm the developed automatic optimal design method, several kinds of photonic devices have been actually designed.