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Direct Solution of the Inverse Problem for Rough Surface Scattering |
REN Yu-Chao;GUO Li-Xin;WU Zhen-Sen |
School of Science, Xidian University, Xi’an 710071 |
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Cite this article: |
REN Yu-Chao, GUO Li-Xin, WU Zhen-Sen 2006 Chin. Phys. Lett. 23 2426-2429 |
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Abstract We consider the inverse scattering problem for a scalar wave field incident on a perfectly conducting one-dimensional rough surface. The Dirichlet Green function for the upper half-plane is introduced, in place of the free-space Green function, as the fundamental solution to the Helmholtz equation. Based on this half-plane Green function, two reasonable approximate operations are performed, and an integral equation is formulated to approximate the total field in the two-dimensional space, then to determine the profile of the rough surface as a minimum of the total field. Reconstructions of sinusoidal, non-sinusoidal and random rough surface are performed using numerical techniques. Good agreement of these results demonstrates that the inverse scattering method is reliable.
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Keywords:
41.20.Jb
42.25.Fx
42.25.Dd
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Published: 01 September 2006
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PACS: |
41.20.Jb
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(Electromagnetic wave propagation; radiowave propagation)
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42.25.Fx
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(Diffraction and scattering)
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42.25.Dd
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(Wave propagation in random media)
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