## Singular eigenfunctions for the three-dimensional radiative transport equation |

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

© 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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