[BOOK][B] Mathematical and computational methods in photonics and phononics

H Ammari, B Fitzpatrick, H Kang, M Ruiz, S Yu… - 2018 - books.google.com
The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

[BOOK][B] Mathematical methods in elasticity imaging

H Ammari, E Bretin, J Garnier, H Kang, H Lee… - 2015 - books.google.com
This book is the first to comprehensively explore elasticity imaging and examines recent,
important developments in asymptotic imaging, modeling, and analysis of deterministic and …

Multistatic imaging of extended targets

H Ammari, J Garnier, H Kang, M Lim, K Sølna - SIAM Journal on Imaging …, 2012 - SIAM
In this paper we develop iterative approaches for imaging extended inclusions from
multistatic response measurements at single or multiple frequencies. Assuming …

The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion

H Ammari, H Kang, M Lim, H Zribi - Mathematics of Computation, 2012 - ams.org
With each $\mathcal {C}^ 2$-domain and material parameter, an infinite number of tensors,
called the Generalized Polarization Tensors (GPTs), is associated. The GPTs contain …

[HTML][HTML] Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities

WK Park - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
In this paper, we investigate a non-iterative imaging algorithm based on the topological
derivative in order to retrieve the shape of penetrable electromagnetic inclusions when their …

Localization of small obstacles in Stokes flow

F Caubet, M Dambrine - Inverse Problems, 2012 - iopscience.iop.org
We want to detect small obstacles immersed in a fluid flowing in a larger bounded domain Ω
in the three-dimensional case. We assume that the fluid motion is governed by the steady …

High precision identification of an object: Optimality-conditions-based concept of imaging

VA Kovtunenko, K Kunisch - SIAM Journal on Control and Optimization, 2014 - SIAM
A class of inverse problems for the identification of an unknown geometric object from given
measurements is considered. A concept for object imaging based on optimality conditions …

A new optimal control approach for the reconstruction of extended inclusions

H Ammari, P Garapon, F Jouve, H Kang, M Lim… - SIAM Journal on Control …, 2013 - SIAM
The aim of this paper is to propose a new regularized optimal control formulation for
recovering an extended inclusion from boundary measurements. Our approach provides an …

Nondestructive testing of the delaminated interface between two materials

F Cakoni, I De Teresa, H Haddar, P Monk - SIAM Journal on Applied …, 2016 - SIAM
We consider the problem of detecting whether two materials that should be in contact have
separated or delaminated. The goal is to find an acoustic technique to detect the …

Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements

H Ammari, E Beretta, E Francini, H Kang… - Mathematics of …, 2010 - ams.org
In this paper, we propose an original and promising optimization approach for reconstructing
interface changes of a conductivity inclusion from measurements of eigenvalues and …