Scattering and inverse scattering in one‐dimensional nonhomogeneous media

Scattering and inverse scattering in one-dimensional nonhomogeneous media

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrijdinger equation d2$/dx2 + k211, = k2P(x)II, + Q(x)Jt with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the ...

Inverse scattering in I-D nonhomogeneous media and recovery of the wave speed

of the wave speed Tuncay Aktosun Department of Mathematics, Southern Methodist University. Dallas, Texas 75275 Martin Klaus Department of Mathematics, Virginia Polytechnic Institute and State University, Blackburg, Virginia 24061 Cornelis van der Mee Department of Physics and Astronomy, Free University, Amsterdam, The Netherlands (Received 17 September 1991; accepted for publication 2 1 Novembe...

Scattering : Scattering and Inverse Scattering in Pure and Applied

This series of two volumes brings the concept of scattering in widely different fields – all the way from Nuclear Physics, Atmospheric Sciences to Chemical Physics – into a unified framework. Most of the topics were classified according to the physical scales of the scattering process. This two volume series easily qualifies as the encyclopedia of scattering. There are six parts in this two vol...

Scattering, Inverse Scattering and Resonances in R

Inverse Source Problem in Nonhomogeneous Background Media

The scalar wave inverse source problem (ISP) of determining an unknown radiating source from knowledge of the field it generates outside its region of localization is investigated for the case in which the source is embedded in a non-homogeneous medium with known index of refraction profile n(r). It is shown that the solution to the ISP having minimum energy (socalled minimum energy source) can...