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Abstract
The scalar wave equation in a curvilinear coordinate system is considered first as a model for wave propagation in nonplanar stratified media. The phase velocity is assumed to vary in a direction normal to the stratification of the scattering object. A spatial integral transform is used to reduce the problem to a problem with one spatial dimension. A nonphysical wave splitting is introduced which leads to simplifications for the inverse scattering problem. The imbedding equation for the associated reflection kernel is obtained. Numerical results for the reconstruction of the phase velocity for a stratified circular cylinder and a stratified sphere are presented. Electromagnetic scattering from a stratified circular cylinder or sphere is then treated in vector form by an analogous approach. In an inverse problem the permittivity is reconstructed.