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DIRECT CALCULATION OF THE MOMENTS OF THE DISTRIBUTION OF PHOTON TIME-OF-FLIGHT IN TISSUE WITH A FINITE-ELEMENT METHOD

ARRIDGE, SR; SCHWEIGER, M; (1995) DIRECT CALCULATION OF THE MOMENTS OF THE DISTRIBUTION OF PHOTON TIME-OF-FLIGHT IN TISSUE WITH A FINITE-ELEMENT METHOD. APPL OPTICS , 34 (15) 2683 - 2687.

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Abstract

Modeling of the full temporal behavior of photons propagating in diffusive materials is computationally costly. Rather than deriving intensity as a function of time to fine sampling, we may consider methods that derive a transform of this function. To derive the Fourier transform involves calculation in the (complex) frequency domain and relates to intensity-modulated experiments. We consider instead the Mellin transform and show that this relates to the moments of the original temporal distribution. A derivation of the Mellin transform given the Fourier transform that permits closed-form derivations of the temporal moments for various simple geometries is presented. For general geometries a finite-element method is presented, and it is demonstrated that the computational cost to produce the nth moment is the same as producing the first n temporal samples of the original function.

Type: Article
Title: DIRECT CALCULATION OF THE MOMENTS OF THE DISTRIBUTION OF PHOTON TIME-OF-FLIGHT IN TISSUE WITH A FINITE-ELEMENT METHOD
Keywords: MODEL, ABSORPTION, SCATTERING, LIGHT
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/92586
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