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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 9, Iss. 3 — Mar. 6, 2014

Singular eigenfunctions for the three-dimensional radiative transport equation

Manabu Machida  »View Author Affiliations


JOSA A, Vol. 31, Issue 1, pp. 67-74 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000067


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Abstract

Case’s method obtains solutions to the radiative transport equation as superpositions of elementary solutions when the specific intensity depends on one spatial variable. In this paper, we find elementary solutions when the specific intensity depends on three spatial variables in three-dimensional space. By using the reference frame whose z axis lies in the direction of the wave vector, the angular part of each elementary solution becomes the singular eigenfunction for the one-dimensional radiative transport equation. Thus, Case’s method is generalized.

© 2013 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: November 1, 2013
Revised Manuscript: September 7, 2013
Manuscript Accepted: November 21, 2013
Published: December 6, 2013

Virtual Issues
Vol. 9, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Manabu Machida, "Singular eigenfunctions for the three-dimensional radiative transport equation," J. Opt. Soc. Am. A 31, 67-74 (2014)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-31-1-67

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