[PDF][PDF] Numerical method for the inverse interior scattering problem from phaseless data

S Li, J Lv, Y Wang - Inverse Problems and Imaging, 2024 - scholar.archive.org
This paper is concerned with the inverse problem to determine the shape and location of an
acoustically sound-soft cavity, or sound-hard cavity, or impedance cavity with known …

The factorization method for a cavity in an inhomogeneous medium

S Meng, H Haddar, F Cakoni - Inverse Problems, 2014 - iopscience.iop.org
We consider the inverse scattering problem for a cavity that is bounded by a penetrable
anisotropic inhomogeneous medium of compact support and seek to determine the shape of …

The factorization method for cavities

X Liu - Inverse problems, 2013 - iopscience.iop.org
The inverse acoustic scattering of point sources by an impenetrable cavity is considered.
The scattered fields incited by point source waves are measured on a closed curve inside …

The inverse scattering problem for a penetrable cavity with internal measurements

F Cakoni, D Colton, S Meng - Inverse problems and applications, 2014 - books.google.com
We consider the inverse scattering problem for a cavity that is bounded by a penetrable
inhomogeneous medium of compact support and seek to determine the shape of the cavity …

Uniqueness in inverse cavity scattering problems with phaseless near-field data

D Zhang, Y Wang, Y Guo, J Li - Inverse Problems, 2020 - iopscience.iop.org
This paper is concerned with the uniqueness of an inverse acoustic scattering problem for
cavities with the modulus of the near-fields. With the aid of the reference ball technique and …

[PDF][PDF] A decomposition method for an interior inverse scattering problem

F Zeng, P Suarez, J Sun - Inverse Probl. Imaging, 2013 - pages.mtu.edu
We consider an interior inverse scattering problem of reconstructing the shape of a cavity.
The measurements are the scattered fields on a curve inside the cavity due to one point …

The inverse scattering problem for a partially coated cavity with interior measurements

Y Hu, F Cakoni, J Liu - Applicable Analysis, 2014 - Taylor & Francis
We consider the interior inverse scattering problem of recovering the shape and the surface
impedance of an impenetrable partially coated cavity from a knowledge of measured scatter …

The reciprocity gap functional method for the inverse scattering problem for cavities

Y Sun, Y Guo, F Ma - Applicable Analysis, 2016 - Taylor & Francis
In this paper, we concern with determining the shape of a perfectly conducting cavity from
the Cauchy data on a curve inside the cavity. The near-field linear sampling method (LSM) …

Bayesian method for shape reconstruction in the inverse interior scattering problem

Y Wang, F Ma, E Zheng - Mathematical problems in …, 2015 - Wiley Online Library
The inverse scattering problem of an interior cavity with three different boundary conditions
is considered. Bayesian method is used to reconstruct the shape of the cavity from scattered …

Near-field imaging method for interior inverse elastic scattering problem

F Zeng, J Wang, S Zhou, H Dong - Computers & Mathematics with …, 2024 - Elsevier
The interior inverse elastic scattering problem is considered in this paper. The scattering in
the cavity is illuminated by an time-harmonic elastic point source at fixed frequency. The …