Acousto-electromagnetic Tomography

@article{Ammari2012AcoustoelectromagneticT,
  title={Acousto-electromagnetic Tomography},
  author={Habib M. Ammari and Emmanuel Bossy and Josselin Garnier and Laurent Seppecher},
  journal={SIAM J. Appl. Math.},
  year={2012},
  volume={72},
  pages={1592-1617}
}
The aim of this paper is to develop a mathematical framework for acousto-electromagnetic tomography and to introduce an efficient reconstruction algorithm. In electromagnetic wave imaging, the resolution is limited by the Rayleigh criterion, that is, half the operating wavelength. By mechanically perturbing the medium, we show that it is possible to achieve a significant resolution enhancement. We provide a new inversion formula for the permittivity distribution from cross-correlations between… 
View via Publisher
josselin-garnier.org
24 Citations
Background Citations
7
Methods Citations
3
Results Citations
1

Figures from this paper

24 Citations

Citation Type

Citation Type

A Transport Model for Multi-Frequency Acousto-Optic Tomography.
In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of…
A reconstruction algorithm for ultrasound-modulated diffuse optical tomography
The aim of this paper is to develop an efficient reconstruction algorithm for ultrasound-modulated diffuse optical tomography. In diffuse optical imaging, the resolution is in general low. By…
Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation ☆
Radiative transport model for coherent acousto-optic tomography
We consider the problem of reconstructing the optical properties of a highly-scattering medium from coherent acousto-optic measurements. A method to solve the problem is proposed that is based on an…
Quantitative thermo-acoustic imaging: An exact reconstruction formula
The Role of the Antenna Radiation Pattern in the Performance of a Microwave Tomographic Approach for GPR Imaging
TLDR
This study provides indications about the reconstruction capabilities expectable when the imaging is performed by using a “directional” wideband transceiver to gather GPR data and discusses to what extent the imaging performance is affected by a priori knowledge of the antenna model.
On multiple frequency power density measurements
We shall give a priori conditions on the illuminations ?i such that the solutions to the Helmholtz equation and their gradients satisfy certain non-zero and linear independence properties inside the…
Model-Based Quantitative Cross-Borehole GPR Imaging via Virtual Experiments
TLDR
A new model-based linear inversion approach for cross-borehole ground penetrating radar quantitative imaging is presented, which is reliable and computationally effective as it consists of the cascade solution of two linear inverse problems.
New Stability Estimates for the Inverse Medium Problem with Internal Data
TLDR
New weighted stability estimates for an electroacoustic inverse problem without assumptions on the presence of critical points are established and it is shown that the Holder stability far from the critical points deteriorates near these points to a logarithmic stability.
Interaction of Acoustic and Electromagnetic Waves in Nondestructive Evaluation and Medical Applications
Nonlinear acoustic nondestructive evaluation (NA NDE) methods have a higher sensitivity for defect detection than standard methods. These methods use various kinds of acoustic wave interactions. In…
...
...

References

SHOWING 1-10 OF 61 REFERENCES
Resolution and stability analysis in acousto-electric imaging
We consider the optimization approach to the acousto-electric imaging problem. Assuming that the electric conductivity distribution is a small perturbation of a constant, we investigate the…
A reconstruction algorithm for ultrasound-modulated diffuse optical tomography
The aim of this paper is to develop an efficient reconstruction algorithm for ultrasound-modulated diffuse optical tomography. In diffuse optical imaging, the resolution is in general low. By…
A mathematical model and inversion procedure for magneto-acousto-electric tomography
Magneto-acousto-electric tomography (MAET), also known as the Lorentz force or Hall effect tomography, is a novel hybrid modality designed to be a high-resolution alternative to the unstable…
2D and 3D reconstructions in acousto-electric tomography
We propose and test stable algorithms for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography…
Inverse scattering and acousto-optic imaging.
TLDR
A tomographic method to reconstruct the optical properties of a highly scattering medium from incoherent acousto-optic measurements is proposed and makes use of the principle of interior control of boundary measurements by an external wave field.
Photoacoustic Imaging for Attenuating Acoustic Media
The aim of this chapter is to consider two challenging problems in photo-acoustic imaging. We consider extended optical sources in an attenuating acoustic background. We provide algorithms to correct…
Mathematical Modeling in Photoacoustic Imaging of Small Absorbers
TLDR
A new method for reconstructing small absorbing regions inside a bounded domain from boundary measurements of the induced acoustic signal and the focusing property of the back-propagated acoustic signal is proposed.
Impedance-Acoustic Tomography
TLDR
This work presents a new hybrid imaging technique that combines electrical impedance tomography (EIT) with acoustic tomography, and tries to combine the high contrast of EIT with the high resolution of ultrasound.
Inverse Medium Scattering Problems for Electromagnetic Waves
TLDR
In this paper, existence and uniqueness of the variational problem for forward scattering are established and an energy estimate for the scattered field with a uniform bound with respect to the wavenumber is obtained in the case of low frequency on which the Born approximation is based.
Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging
In this paper we consider resolution estimates in both the linearized conductivity problem and the wave imaging problem. Our purpose is to provide explicit formulas for the resolving power of the…
...
...