Born series for the photon diffusion equation perturbing the Robin boundary condition

Born series for the photon diffusion equation perturbing the Robin boundary condition

The photon diffusion equation is solved making use of the Born series for the Robin boundary condition. We develop a general theory for arbitrary domains with smooth enough boundaries and explore the convergence. The proposed Born series is validated by numerical calculation in the three-dimensional...

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Veröffentlicht in:Journal of mathematical physics 2020-01, Vol.61 (1)
Hauptverfasser: Machida, Manabu, Nakamura, Gen
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Convergence
Diffusion
Domains
Photons
Physics
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Beschreibung
Zusammenfassung:The photon diffusion equation is solved making use of the Born series for the Robin boundary condition. We develop a general theory for arbitrary domains with smooth enough boundaries and explore the convergence. The proposed Born series is validated by numerical calculation in the three-dimensional half space. It is shown that in this case, the Born series converges regardless the value of the impedance term in the Robin boundary condition.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5095179