ARRIDGE, SR and 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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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.
|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|
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