Publication: Image Recovery of Inaccessible Rough Surfaces Profiles Having Impedance Boundary Condition
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Institute of Electrical and Electronics Engineers (IEEE)
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Abstract
This letter addresses a reconstruction algorithm of locally rough inaccessible surface profiles via the knowledge of the scattered field data under the consideration of impedance boundary condition (IBC). To this aim, firstly, the synthetic scattered field data is obtained through the solution of the conventional surface integral equation (SIE) written on the rough surface. Then the same SIE together with the data equation are solved iteratively via Newton’s method to obtain the image of the rough surface profile. In the numerical implementation, the nonlinear ill-posed inverse problem is linearized in an iterative fashion via Newton Method and regularized by Tikhonov in least squares sense. Feasibility of the algorithm is provided via numerical examples which shows that the method is effective and promising.
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Inverse problems, Inverse scattering, Boundary condition, Least squares approximations, Surface profiles, Surface impedance, Surface measurement, Newton-Raphson method, Surface roughness, Surface integral equations, Impedance boundary condition, Surfaces reconstruction, Newton iteration, Impedance boundary conditions, Surface scattering, Integral equations, Boundary conditions, Impedance, Satellite imagery, Scattered field data, Remote sensing, Rough surfaces, Image reconstruction, Inverse problem, Rough surface reconstruction, Numerical methods, Reconstruction, Impedance boundary conditions (IBCs), Surface reconstruction