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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 Schrdinger equation with complex potential.And the Schrdinger equation can be solved by Feynman path integral.The result is in excellent agreement with the previous work.
A new approach is developed to solve the Green’s function that satisfies the Hehmholtz equation with complex refractive index. Especially in 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 Schrödinger equation with complex potential. And the Schrödinger equation can be solved by Feynman path integral. The result is in excellent agreement with the previous work.