Technique for handling wave propagation specific effects in biological tissue: Mapping of the photon transport equation to Maxwell’s equations
Author(s) -
Chintha C. Handapangoda,
Malin Premaratne,
David M. Paganin,
Priyantha R. D. S. Hendahewa
Publication year - 2008
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.16.017792
Subject(s) - maxwell's equations , physics , wave propagation , inhomogeneous electromagnetic wave equation , wave equation , photon , phase (matter) , electromagnetic radiation , intensity (physics) , optics , mathematical analysis , classical mechanics , electromagnetic field , mathematics , quantum mechanics , optical field
A novel algorithm for mapping the photon transport equation (PTE) to Maxwell's equations is presented. Owing to its accuracy, wave propagation through biological tissue is modeled using the PTE. The mapping of the PTE to Maxwell's equations is required to model wave propagation through foreign structures implanted in biological tissue for sensing and characterization of tissue properties. The PTE solves for only the magnitude of the intensity but Maxwell's equations require the phase information as well. However, it is possible to construct the phase information approximately by solving the transport of intensity equation (TIE) using the full multigrid algorithm.
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