Diffuse time tomography of isotropic random media

Samelsohn, Gregory

doi:10.1016/j.physb.2010.01.028

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2011

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“…These are just the Ewald spheres constructed for different frequencies and propagation directions (the information contained actually in the wave vector k). The spherical mean operator is known to be invertible [11,12]. In particular, it may be converted into the classical Radon transform using a geometric inversion of the K-space with respect to a reference sphere centered at the origin [11].…”

Section: Inversionmentioning

confidence: 99%

Wave tomography of time-varying disordered structures

Samelsohn

2011

2011 XXXth URSI General Assembly and Scientific Symposium

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An original model based on the first principles is constructed for the temporal correlation of wave fields propagating in random scattering media. The predictions of this model are consistent, in general, with those of the diffusingwave spectroscopy. It is shown that considering the wave vector as a free parameter that can vary at will, one can provide an additional dimension to the data, which results in a tomographic-type reconstruction of the full spacetime dynamics of a complex structure, instead of a plain spectroscopic technique. In the Fourier space the problem is reduced to a spherical mean transform defined for a family of spheres containing the origin and therefore is easily invertible.

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Section: Inversionmentioning

confidence: 99%