Numerical solution of some inverse scattering problems of geophysics

Numerical Method for Solving 3 D Inverse Problems of Geophysics

A numerical method is given to invert surface data for the refraction coefficient.

Numerical Solution of Limited-data Inverse Problems Arising from X-ray Tomography and Acoustic Inverse Scattering

Numerical solution of inverse Sturm–Liouville problems

A new algorithm is proposed for solving the inverse Sturm–Liouville problem of reconstructing a symmetric potential from eigenvalues. It uses Numerov’s method instead of the second order method of the related algorithm of Fabiano, Knobel and Lowe. An extension by Andrew and Paine of the asymptotic correction technique of Paine, de Hoog and Anderssen is the key to the success of the new algorith...

Numerical solution of obstacle scattering problems

Some novel numerical approaches to solving direct and inverse obstacle scattering problems are presented. Scattering by finite obstacles and by periodic structures is considered. The emphasis for solving direct scattering problem is on the Modified Rayleigh Conjecture method, recently introduced and tested by the authors. This method is used numerically in scattering by finite obstacles and by ...

Numerical solution of inverse scattering for near-field optics.

A novel regularized recursive linearization method is developed for a two-dimensional inverse medium scattering problem that arises in near-field optics, which reconstructs the scatterer of an inhomogeneous medium located on a substrate from data accessible through photon scanning tunneling microscopy experiments. Based on multiple frequency scattering data, the method starts from the Born appr...