Abstract We consider the direct and inverse scattering problems for partially coated obstacles. To this end, we first use the method of integral equations of the first kind together with variational methods to solve a scattering problem for the Helmholtz equation where the scattered field satisfies mixed Dirichletimpedance boundary conditions on the Lipschitz boundary of the scatterer D. We the...

We present a method for the quantum mechanical inverse scattering problem at xed energy for coupled channels in reactions with particles having internal degrees of freedom. The scattered particles can be excited by a local interaction between the relative motion and the internal dynamics which can be expanded in multipoles. The inverse scattering problem is solved by an extension of the modiied...

The inverse electromagnetic scattering problem in OCT for anisotropic media

As studied by Jaulent in 1982, the inverse problem of lossy electric transmission lines is closely related to the inverse scattering of Zakharov-Shabat equations with two potential functions. Focusing on the numerical solution of this inverse scattering problem, we develop a fast one-shot algorithm based on the Gelfand-LevitanMarchenko equations and on some differential equations derived from t...

We consider the inverse scattering problem of determining the

This work is devoted to studying a direct and inverse scattering problem for magnetoelastic layer having defect, in the frame of electromagnetic theory. In terms displacement field over defect's contour, coupled system boundary integral equations formulated, magnetically permeable impermeable defects. To identify position size an efficient numerical algorithm developed by using quasi-Newton ite...