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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 |
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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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Received: 19 May 2009
Revised: 04 September 2009
Accepted manuscript online:
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PACS:
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42.25.Gy
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(Edge and boundary effects; reflection and refraction)
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42.25.Bs
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(Wave propagation, transmission and absorption)
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02.30.Jr
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(Partial differential equations)
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02.30.Rz
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(Integral equations)
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03.65.Ge
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(Solutions of wave equations: bound states)
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| Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos.~10574010 and
10974010) and Beijing Commission of Education (Grant
No.~1010005466903). |
Cite this article:
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 2010 Chin. Phys. B 19 030307
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