Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals
Originally formulated in the context of topology optimization, the concept of topological
derivative has also proved effective as a qualitative inversion tool for a wave-based …
derivative has also proved effective as a qualitative inversion tool for a wave-based …
On the justification of the Foldy--Lax approximation for the acoustic scattering by small rigid bodies of arbitrary shapes
We are concerned with the acoustic scattering problem by many small rigid obstacles of
arbitrary shapes. We give a sufficient condition on the number M and the diameter a of the …
arbitrary shapes. We give a sufficient condition on the number M and the diameter a of the …
Multiple scattering of electromagnetic waves by finitely many point-like obstacles
This paper is concerned with the direct and inverse time-harmonic electromagnetic
scattering problems for a finite number of isotropic point-like obstacles in three dimensions …
scattering problems for a finite number of isotropic point-like obstacles in three dimensions …
The Foldy‐Lax approximation of the scattered waves by many small bodies for the Lamé system
We are concerned with the linearized, isotropic and homogeneous elastic scattering
problem by many small rigid obstacles of arbitrary, Lipschitz regular, shapes in 3D case. We …
problem by many small rigid obstacles of arbitrary, Lipschitz regular, shapes in 3D case. We …
Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the foldy theory of isotropic scattering
The asymptotic analysis carried out in this paper for the problem of a multiple scattering in
three dimensions of a time-harmonic wave by obstacles whose size is small as compared …
three dimensions of a time-harmonic wave by obstacles whose size is small as compared …
Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion
H Barucq, F Faucher, H Pham - Journal of Computational Physics, 2018 - Elsevier
We investigate numerically the inverse problem of locating small circular obstacles in a
homogeneous medium from multi-frequency back-scattered data limited to four angles of …
homogeneous medium from multi-frequency back-scattered data limited to four angles of …
Exact solution of the two-dimensional scattering problem for a class of δ-function potentials supported on subsets of a line
F Loran, A Mostafazadeh - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
We use the transfer matrix formulation of scattering theory in two-dimensions (2D) to treat the
scattering problem for a potential of the form where, and b are constants, is the Dirac δ …
scattering problem for a potential of the form where, and b are constants, is the Dirac δ …
Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles
This paper concerns the time-harmonic direct and inverse elastic scattering by an extended
rigid elastic body surrounded by a finite number of point-like obstacles. We first justify the …
rigid elastic body surrounded by a finite number of point-like obstacles. We first justify the …
Elastic scattering by finitely many point-like obstacles
R n (n= 2, 3). We analyze the N-point interactions model in elasticity and derive the
associated Green's tensor (integral kernel) in terms of the point positions and the scattering …
associated Green's tensor (integral kernel) in terms of the point positions and the scattering …
Localization of point scatterers via sparse optimization on measures
We consider the inverse scattering problem for time-harmonic acoustic waves in a medium
with pointwise inhomogeneities. In the Foldy–Lax model, the estimation of the scatterers' …
with pointwise inhomogeneities. In the Foldy–Lax model, the estimation of the scatterers' …