| A new approach of solving Green’s function for wave propagation in an inhomogeneous absorbing medium |
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| 引用本文： | 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. DOI: 10.1088/1674-1056/19/3/030307 |
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| 作者姓名： | 李维 刘世炳 杨巍 |
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| 作者单位： | Institute of Laser Engineering, Beijng University of Technology,Beijing 100124, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant Nos.~10574010 and10974010) and Beijing Commission of Education (GrantNo.~1010005466903). |
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| 摘 要： | A new approach is developed to solve the Green's functionthat satisfies the Hehmholtz equation with complex refractive index.Especially, the Green's function for the Helmholtz equation can beexpressed in terms of a one-dimensional integral, which can converta Helmholtz equation into a Schr?dinger equation with complexpotential. And the Schr?dinger equation can be solved by Feynman pathintegral. The result is in excellent agreement with the previouswork.
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| 关 键 词： | Green’s function wave propagation Helmholtz equation inhomogeneous absorbing medium |
| 收稿时间： | 2009-05-19 |
| 修稿时间： | 2009-09-04 |
A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium |
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| Li Wei,Liu Shi-Bing and Yang Wei. A new approach of solving Green's function for wave propagation in an inhomogeneous absorbing medium[J]. Chinese Physics B, 2010, 19(3): 30307-030307. DOI: 10.1088/1674-1056/19/3/030307 |
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| Authors: | Li Wei Liu Shi-Bing Yang Wei |
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| Affiliation: | Institute of Laser Engineering, Beijng University of Technology, Beijing 100124, China |
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| 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. |
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| Keywords: | Green's function wave propagation Helmholtz equation inhomogeneous absorbing medium |
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