INVERSE SCATTERING FOR SHAPE AND IMPEDANCE REVISITED

abstract

• 2018 Rocky Mountain Mathematics Consortium. The inverse scattering problem under consideration is to reconstruct both the shape and the impedance function of an impenetrable two-dimensional obstacle from the far field pattern for scattering of timeharmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that is based on a system of nonlinear boundary integral equations associated with a single-layer potential approach to solve the forward scattering problem. This extends the approach we suggested for an inverse boundary value problem for harmonic functions in [8] and is a counterpart of our earlier work on inverse scattering for shape and impedance in [7]. We present the mathematical foundation of the method and exhibit its feasibility by numerical examples.

authors

• Rundell, William

published proceedings

• JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS

author list (cited authors)

• Kress, R., & Rundell, W.

citation count

• 3

complete list of authors

• Kress, Rainer||Rundell, William

publication date

• April 2018

publisher

• Rocky Mountain Mathematics Consortium  Publisher

published in

• Journal of Integral Equations and Applications  Journal

keywords

• Boundary Integral Equations
• Helmholtz Equation
• Inverse Scattering
• Regularized Newton Iterations

Digital Object Identifier (DOI)

• 10.1216/JIE-2018-30-2-293

start page

• 293

end page

• 311

volume

• 30

issue

• 2

URL

• http://dx.doi.org/10.1216/jie-2018-30-2-293