Kirchhoff approximation for diffusive waves

Jorge Ripoll; Vasilis Ntziachristos; Remi Carminati; Manuel Nieto-Vesperinas

doi:10.1103/PhysRevE.64.051917

Kirchhoff approximation for diffusive waves

Jorge Ripoll
, Vasilis Ntziachristos
, Remi Carminati
, Manuel Nieto-Vesperinas

Research output: Contribution to journal › Article › peer-review

73 Scopus citations

Abstract

An approximate method that solves the 3D diffusion equation in geometries of arbitrary shape and size in a linear fashion is presented. The approximation has been compared to the ET solution of the diffusion equation. It was been found that when the average radius of the geometry considered is R>3(D/μ_a)^1/2, the method performs with an error less than 5%.

Original language	English
Article number	051917
Pages (from-to)	051917/1-051917/8
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	64
Issue number	5 I
DOIs	https://doi.org/10.1103/PhysRevE.64.051917
State	Published - Nov 2001
Externally published	Yes

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10.1103/PhysRevE.64.051917

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title = "Kirchhoff approximation for diffusive waves",

abstract = "An approximate method that solves the 3D diffusion equation in geometries of arbitrary shape and size in a linear fashion is presented. The approximation has been compared to the ET solution of the diffusion equation. It was been found that when the average radius of the geometry considered is R>3(D/μa)1/2, the method performs with an error less than 5\%.",

author = "Jorge Ripoll and Vasilis Ntziachristos and Remi Carminati and Manuel Nieto-Vesperinas",

year = "2001",

month = nov,

doi = "10.1103/PhysRevE.64.051917",

language = "English",

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AU - Ntziachristos, Vasilis

AU - Carminati, Remi

AU - Nieto-Vesperinas, Manuel

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N2 - An approximate method that solves the 3D diffusion equation in geometries of arbitrary shape and size in a linear fashion is presented. The approximation has been compared to the ET solution of the diffusion equation. It was been found that when the average radius of the geometry considered is R>3(D/μa)1/2, the method performs with an error less than 5%.

AB - An approximate method that solves the 3D diffusion equation in geometries of arbitrary shape and size in a linear fashion is presented. The approximation has been compared to the ET solution of the diffusion equation. It was been found that when the average radius of the geometry considered is R>3(D/μa)1/2, the method performs with an error less than 5%.

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DO - 10.1103/PhysRevE.64.051917

M3 - Article

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SN - 1539-3755

VL - 64

SP - 051917/1-051917/8

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IS - 5 I

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ER -

Kirchhoff approximation for diffusive waves

Abstract

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