A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium

doi:10.1088/1674-1056/19/3/030307

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30307-030307.doi: 10.1088/1674-1056/19/3/030307

A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium

李维, 刘世炳, 杨巍

Institute of Laser Engineering, Beijng University of Technology, Beijing 100124, China

收稿日期:2009-05-19 修回日期:2009-09-04 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10574010 and 10974010) and Beijing Commission of Education (Grant No.~1010005466903).

A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium

Li Wei(李维), Liu Shi-Bing(刘世炳)^†, and Yang Wei(杨巍)

Institute of Laser Engineering, Beijng University of Technology, Beijing 100124, China

Received:2009-05-19 Revised:2009-09-04 Online:2010-03-15 Published:2010-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10574010 and 10974010) and Beijing Commission of Education (Grant No.~1010005466903).

摘要/Abstract

摘要： 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 one-dimensional integral, which can convert a Helmholtz equation into a Schr?dinger equation with complex potential. And the Schr?dinger equation can be solved by Feynman path integral. The result is in excellent agreement with the previous work.

Abstract: 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 one-dimensional integral, which can convert a Helmholtz equation into a Schr?dinger equation with complex potential. And the Schr?dinger equation can be solved by Feynman path integral. The result is in excellent agreement with the previous work.

Key words: Green's function, wave propagation, Helmholtz equation, inhomogeneous absorbing medium

中图分类号: (Edge and boundary effects; reflection and refraction)

42.25.Gy

42.25.Bs (Wave propagation, transmission and absorption) 02.30.Jr (Partial differential equations) 02.30.Rz (Integral equations) 03.65.Ge (Solutions of wave equations: bound states)

李维, 刘世炳, 杨巍. A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium[J]. 中国物理B, 2010, 19(3): 30307-030307.

Li Wei(李维), Liu Shi-Bing(刘世炳), and Yang Wei(杨巍). A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium[J]. Chin. Phys. B, 2010, 19(3): 30307-030307.

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A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium

A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium

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