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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 23423–23442

Implicitly causality enforced solution of multidimensional transient photon transport equation

Chintha C Handapangoda and Malin Premaratne  »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 23423-23442 (2009)

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A novel method for solving the multidimensional transient photon transport equation for laser pulse propagation in biological tissue is presented. A Laguerre expansion is used to represent the time dependency of the incident short pulse. Owing to the intrinsic causal nature of Laguerre functions, our technique automatically always preserve the causality constrains of the transient signal. This expansion of the radiance using a Laguerre basis transforms the transient photon transport equation to the steady state version. The resulting equations are solved using the discrete ordinates method, using a finite volume approach. Therefore, our method enables one to handle general anisotropic, inhomogeneous media using a single formulation but with an added degree of flexibility owing to the ability to invoke higher-order approximations of discrete ordinate quadrature sets. Therefore, compared with existing strategies, this method offers the advantage of representing the intensity with a high accuracy thus minimizing numerical dispersion and false propagation errors. The application of the method to one, two and three dimensional geometries is provided.

© 2009 Optical Society of America

OCIS Codes
(170.4580) Medical optics and biotechnology : Optical diagnostics for medicine
(170.6930) Medical optics and biotechnology : Tissue

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: September 30, 2009
Revised Manuscript: October 29, 2009
Manuscript Accepted: December 4, 2009
Published: December 7, 2009

Virtual Issues
Vol. 5, Iss. 1 Virtual Journal for Biomedical Optics

Chintha C. Handapangoda and Malin Premaratne, "Implicitly causality enforced solution of multidimensional transient photon transport equation," Opt. Express 17, 23423-23442 (2009)

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