2006
DOI: 10.1070/qe2006v036n11abeh013302
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Time-domain diffuse optical tomography using analytic statistical characteristics of photon trajectories

Abstract: We show that the scattering amplitude of four open string scalars or tachyons on the world-volume of a Dp-brane in the bosonic string theory can be written in a universal form. The difference between this amplitude and the corresponding amplitude in the superstring theory is in an extra tachyonic pole. We show that in an α expansion and for slowly varying fields, the amplitude is consistent with the tachyonic DBI action in which the even part of the tachyon potential is V (T ) = e −( √ πT /α) 2 with α = 1 for … Show more

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Cited by 30 publications
(13 citation statements)
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“…For all objects from Table 1 we used the measurement ratio 32×32 (32 sources and 32 receivers). The circular objects were reconstructed by the backprojection algorithm with convolution filtering 2007b;Lyubimov et al, 2003) and the rectangular ones with the modified multiplicative algebraic reconstruction technique (Konovalov et al, 2006b;2007a). To restore the reconstructed tomograms, in all cases we partitioned the image domain into 5×5 regions and applied the reflexive boundary conditions.…”
Section: Restoration Resultsmentioning
confidence: 99%
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“…For all objects from Table 1 we used the measurement ratio 32×32 (32 sources and 32 receivers). The circular objects were reconstructed by the backprojection algorithm with convolution filtering 2007b;Lyubimov et al, 2003) and the rectangular ones with the modified multiplicative algebraic reconstruction technique (Konovalov et al, 2006b;2007a). To restore the reconstructed tomograms, in all cases we partitioned the image domain into 5×5 regions and applied the reflexive boundary conditions.…”
Section: Restoration Resultsmentioning
confidence: 99%
“…the problem of radiation propagation through tissue is solved numerically many times and at each step of linearization it is necessary to adjust the matrix of the system of algebraic equations that describe the discrete reconstruction model. As shown in our earlier papers (Kalintsev et al, 2005;Konovalov et al, 2003;2006b;2007a;2007b;Lyubimov et al, 2002;, there exists a unique opportunity to make the reconstruction procedure much faster by changing over in equation (1) from volume integration to integration along an effective trajectory from source to receiver. The photon average trajectory method (PAT method) we have developed finds such a trajectory using a probabilistic interpretation of light energy transfer by photons from source to receiver.…”
Section: Introductionmentioning
confidence: 99%
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“…The object contains periodic structures created by circular absorbing inhomogeneities. In both cases, the inverse problem is solved using algebraic reconstruction techniques (additive and multiplicative) which we modernized to attain the better convergence of the iterative reconstruction process 2006b). Procedures used to calculate the weight matrices are described in detail.…”
mentioning
confidence: 99%
“…In case of DOT, we use model data from the numerical solution of a time-dependent diffusion equation with an instantaneous point source (time-domain measurement technique). We consider a traditional geometry where sources and receivers are on the boundary of a scattering object in the form of a flat layer (Konovalov et al, 2006b). The object contains periodic structures created by circular absorbing inhomogeneities.…”
mentioning
confidence: 99%