Chin. Phys. Lett.  2006, Vol. 23 Issue (9): 2426-2429    DOI:
Original Articles |
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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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.
Keywords: 41.20.Jb      42.25.Fx      42.25.Dd     
Published: 01 September 2006
PACS:  41.20.Jb (Electromagnetic wave propagation; radiowave propagation)  
  42.25.Fx (Diffraction and scattering)  
  42.25.Dd (Wave propagation in random media)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2006/V23/I9/02426
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