A fixed energy fixed angle inverse scattering in interior transmission problem

2017 ◽  
Vol 79 (3) ◽  
pp. 331-345
Author(s):  
Lung-Hui Chen
Keyword(s):  
Inverse Scattering ◽  
Transmission Problem ◽  
Fixed Angle ◽  
Fixed Energy ◽  
Interior Transmission Problem

NOTES ON THE DISTRIBUTION OF PHASE SHIFTS

2008 ◽  
Vol 22 (23) ◽  
pp. 2163-2175 ◽  
Author(s):  
MIKLÓS HORVÁTH
Keyword(s):  
Inverse Scattering ◽  
Lower Bounds ◽  
Three Dimensional ◽  
Variational Formula ◽  
Phase Shifts ◽  
Upper And Lower Bounds ◽  
One Dimensional ◽  
Fixed Energy ◽  
Symmetrical Potential ◽  
The One

We consider three-dimensional inverse scattering with fixed energy for which the spherically symmetrical potential is nonvanishing only in a ball. We give exact upper and lower bounds for the phase shifts. We provide a variational formula for the Weyl–Titchmarsh m-function of the one-dimensional Schrödinger operator defined on the half-line.

On the Spectrum of the Interior Transmission Problem in Isotropic Elasticity

2007 ◽  
Vol 90 (3) ◽  
pp. 295-313 ◽  
Author(s):  
Antonios Charalambopoulos ◽  
Konstantinos A. Anagnostopoulos
Keyword(s):  
Transmission Problem ◽  
Isotropic Elasticity ◽  
Interior Transmission Problem
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