A new approach is developed to solve the Green＇s function that satisfies the Hehmholtz equation with complex refractive index. Especially, the Green＇s function for the Helmholtz equation can be expressed in terms of...A new approach is developed to solve the Green＇s function that satisfies the Hehmholtz equation with complex refractive index. Especially, the Green＇s function for the Helmholtz equation can be expressed in terms of a onedimensional integral, which can convert a Helmholtz equation into a Schrodinger equation with complex potential. And the Schrodinger equation can be solved by Feynman path integral. The result is in excellent agreement with the previous work.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 10574010 and 10974010)Beijing Commission of Education (Grant No. 1010005466903)
文摘A new approach is developed to solve the Green＇s function that satisfies the Hehmholtz equation with complex refractive index. Especially, the Green＇s function for the Helmholtz equation can be expressed in terms of a onedimensional integral, which can convert a Helmholtz equation into a Schrodinger equation with complex potential. And the Schrodinger equation can be solved by Feynman path integral. The result is in excellent agreement with the previous work.
