6533b86ffe1ef96bd12cdda7
RESEARCH PRODUCT
Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations
Mikko SaloRakeshsubject
osittaisdifferentiaaliyhtälötApplied MathematicsMathematical analysisscattering amplitudePlane waveFOS: Physical sciencesplane waveMathematical Physics (math-ph)fixed angleinverse scattering01 natural sciencesinversio-ongelmat010101 applied mathematicsScattering amplitudeComputational MathematicsFixed angleMathematics - Analysis of PDEsInverse scattering problemFOS: Mathematics0101 mathematicsAnalysisMathematical PhysicsMathematicsAnalysis of PDEs (math.AP)description
We consider the fixed angle inverse scattering problem and show that a compactly supported potential is uniquely determined by its scattering amplitude for two opposite fixed angles. We also show that almost symmetric or horizontally controlled potentials are uniquely determined by their fixed angle scattering data. This is done by establishing an equivalence between the frequency domain and the time domain formulations of the problem, and by solving the time domain problem by extending the methods of [RS19] which adapts the ideas introduced in [BK81] and [IY01] on the use of Carleman estimates for inverse problems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |