Mourad Sini

Reconstruction of the Shape and Surface Impedance from Acoustic Scattering Data for an Arbitrary Cylinder

The inverse scattering for an obstacle

OBSTACLE AND BOUNDARY DETERMINATION FROM SCATTERING DATA

D \subset R^2

On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes

with mixed boundary condition can be considered as a prototype for radar detection of complex obstacles with coated and noncoated parts of the boundary. We construct some indicator functions for this inverse problem using the far‐field pattern directly, without the necessity of transforming the far field to the near field. Based on careful singularity analysis, these indicator functions enable us to reconstruct the shape of the obstacle and distinguish the coated from the noncoated part of the boundary. Moreover, an explicit representation formula for the surface impedance in the coated part of the boundary is also given. Our reconstruction scheme reveals that the coated part of the obstacle is less visible than the noncoated one, which corresponds to the physical fact that the coated boundary absorbs some part of the scattered wave. Numerics are presented for the reconstruction formulas, which show that both the boundary shape and the surface impedan...

On the Convergence of the Harmonic

In this paper, we are concerned with the identification of complex obstacles from the scattering data for the acoustic problem. The complex obstacle is characterized by its shape and the boundary values of the impedance coefficient. We establish pointwise formulas which can be used to reconstruct the shape of the obstacle and give explicitly the values of the surface impedance as a function of the far field. In addition, these formulas enable us to distinguish and recognize the coated and the noncoated parts of the obstacle.

B_z

We are concerned with the acoustic scattering problem by many small rigid obstacles of arbitrary shapes. We give a sufficient condition on the number

Algorithm in Magnetic Resonance Electrical Impedance Tomography

M

Some inverse problems arising from elastic scattering by rigid obstacles

and the diameter

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

a

On the Accuracy of the Numerical Detection of Complex Obstacles from Far Field Data Using the Probe Method

of the obstacles as well as the minimum distance

Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test

d