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.Comment: 10 page

Quantitative thermo-acoustics and related problems

“…In thermo-acoustics, the operator P (x, D) considered in the preceding section is purely imaginary as can be seen in (13). In a simplified version of the acousto-optics problem considered in [3], it is interesting to look at the problem where P (x, D) = ∆ and where the measurements are given by H(x) = σ(x)u 2 (x). Here, u is thus the solution of the elliptic equation (−∆ + σ)u = 0 on X with u = g on ∂X.…”

“…The same technique also allows us to reconstruct σ when H = ∆ the Laplace operator. This has applications in simplified models of acousto-optics as they arise, e.g., in [3].…”

Microwave Imaging by Elastic Deformation

“…Since [24], internal energies have been used to provide efficient imaging procedures, see [3,6,5,14,21,28].…”

“…Multi-wave systems are capable of high-resolution and high-contrast imaging [1]. A few particular examples of emerging modalities are of great current interest in the biomedical imaging community and will be investigated in detail: magnetic resonance electrical impedance tomography (MREIT) [24,29], [28], magnetic resonance elastography (MRE) [7], impedance-acoustic tomography [21], photo-acoustic [33,25,4] and acousto-optic imaging [14], magneto-acoustic imaging [6], and vibro-acoustography [19].…”

Fast acousto-optic tissue sensing with tandem nanosecond pulses

“…The AO signal is affected not only by optical absorption and scattering in the US focus but also in the rest of the object. Therefore quantitative estimation of the absorption coefficient requires the number of tagged and untagged photons and an algorithm that solves the inversion problem as in DOT [36,39,60,[79][80][81].…”