Inverse Scattering and Acousto-Optic Imaging

Abstract

We propose a tomographic method to reconstruct the optical properties of a highly-scattering medium from incoherent acousto-optic measurements. The method is based on the solution to an inverse problem for the diffusion equation and makes use of the principle of interior control of boundary measurements by an external wave field.

10 pages

References in corpus (2)

• Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
• Detection of the tagged or untagged photons in acousto-optic imaging of thick highly scattering media by photorefractive adaptive holography

Cited by in corpus (22)

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• Calderón problem for the p-Laplacian: First order derivative of conductivity on the boundary
• Stability of Coupled-Physics Inverse Problems with internal measurements
• Hybrid Inverse Problems for a System of Maxwell's Equations
• Local Inversions in Ultrasound Modulated Optical Tomography
• Inverse anisotropic conductivity from power densities in dimension $n\ge 3$
• Gradient-based quantitative image reconstruction in ultrasound-modulated optical tomography: first harmonic measurement type in a linearised diffusion formulation
• New Stability Estimates for the Inverse Medium Problem with Internal Data
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• Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements
• Stabilizing inverse problems by internal data. II. Non-local internal data and generic linearized uniqueness
• A Transport Model for Multi-Frequency Acousto-Optic Tomography
• On diffusive scaling in acousto-optic imaging
• Ultrasound Modulated Bioluminescence Tomography With A Single Optical Measurement
• A Note on the Transport Method for Hybrid Inverse Problems
• Reconstruction of complex-valued tensors in the Maxwell system from knowledge of internal magnetic fields