2010
DOI: 10.1103/physrevlett.104.043902
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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

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Cited by 74 publications
(107 citation statements)
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References 36 publications
(48 reference statements)
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“…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.…”
Section: A General Class Of Inverse Problems With Internal Datamentioning
confidence: 99%
See 1 more Smart Citation
“…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.…”
Section: A General Class Of Inverse Problems With Internal Datamentioning
confidence: 99%
“…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].…”
Section: Introductionmentioning
confidence: 99%
“…Since [24], internal energies have been used to provide efficient imaging procedures, see [3,6,5,14,21,28].…”
Section: Expansion Formulasmentioning
confidence: 99%
“…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].…”
mentioning
confidence: 99%
“…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].…”
Section: -Measuring-optical-properties-mentioning
confidence: 99%