Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles

@article{Hu2020DirectAI,
  title={Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles},
  author={Guanghui Hu and Andrea Mantile and Mourad Sini and Tao Yin},
  journal={Inverse Problems \& Imaging},
  year={2020}
}
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 point-interaction model for the Lame operator within the singular perturbation approach. For a general family of pointwise-supported singular perturbations, including anisotropic and non-local interactions, we derive an explicit representation of the scattered field. In the case of isotropic and local point… 

Figures from this paper

Fast inverse elastic scattering of multiple particles in three dimensions

Many applications require recovering the geometric information of multiple elastic particles based on the scattering information. In this paper, we consider the inverse time-harmonic elastic

Inverse wave scattering in the time domain for point scatterers

. Let ∆ α,Y be the bounded from above self-adjoint realization in L 2 ( R 3 ) of the Laplacian with n point scatterers placed at Y = { y 1 , . . . , y n } ⊂ R 3 , the parameters ( α 1 , . . . α n ) ≡

References

SHOWING 1-10 OF 38 REFERENCES

Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers

It is shown that the scattered field is a sum of two contributions: one is due to the diffusion by the extended obstacle, and the other arises from the linear combination of the interactions between the point-like obstacles and the interaction with the extended one.

Elastic scattering by finitely many point-like obstacles

This paper is concerned with the time-harmonic elastic scattering by a finite number N of point-like obstacles in Rn (n = 2, 3). We analyze the N-point interactions model in elasticity and derive the

The factorization method in inverse elastic scattering from penetrable bodies

The present work is concerned with the extension of the factorization method to the inverse elastic scattering problem by penetrable isotropic bodies embedded in an isotropic host environment for

Some inverse problems arising from elastic scattering by rigid obstacles

In the first part of this paper, it is proved that a C2-regular rigid scatterer in can be uniquely identified by the shear part (i.e. S-part) of the far-field pattern corresponding to all incident

On the far‐field operator in elastic obstacle scattering

We investigate the far-field operator for the scattering of time-harmonic elastic plane waves by either a rigid body, a cavity, or an absorbing obstacle. Extending results of Colton & Kress for

The far-field operator for penetrable and absorbing obstacles in 2D inverse elastic scattering

In this paper, the far-field operator for scattering from a penetrable elastic body or an absorbing obstacle in two-dimensional linear elasticity is considered. The longitudinal and transverse

Direct and inverse elastic scattering from anisotropic media

A Two-Scale Multiple Scattering Problem

A generalized Foldy–Lax method is developed to fully take account of the multiple scattering in the heterogenous medium and is viewed from two different formulations: the series solution and the integral equation.

Inverse scattering by point-like scatterers in the Foldy regime

The scattering by point-like scatterers is described in the Born, Foldy and the intermediate regimes. We explain why the Foldy regime is, rigorously, a natural model for taking into account the

On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves

We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered p-parts or s-parts of the far field pattern, corresponding to all the