## Photon diffusion coefficient in scattering and absorbing media

JOSA A, Vol. 23, Issue 5, pp. 1106-1110 (2006)

http://dx.doi.org/10.1364/JOSAA.23.001106

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### Abstract

We present a unified derivation of the photon diffusion coefficient for both steady-state and time-dependent transport in disordered absorbing media. The derivation is based on a modal analysis of the time-dependent radiative transfer equation. This approach confirms that the dynamic diffusion coefficient is given by the random-walk result D=cl^{*}/3, where l^{*} is the transport mean free path and c is the energy velocity, independent of the level of absorption. It also shows that the diffusion coefficient for steady-state transport, often used in biomedical optics, depends on absorption, in agreement with recent theoretical and experimental works. These two results resolve a recurrent controversy in light propagation and imaging in scattering media.

© 2006 Optical Society of America

**OCIS Codes**

(170.3660) Medical optics and biotechnology : Light propagation in tissues

(170.5280) Medical optics and biotechnology : Photon migration

(290.1990) Scattering : Diffusion

(290.4210) Scattering : Multiple scattering

(290.7050) Scattering : Turbid media

**ToC Category:**

Scattering

**History**

Original Manuscript: August 26, 2005

Revised Manuscript: November 25, 2005

Manuscript Accepted: November 27, 2005

**Virtual Issues**

Vol. 1, Iss. 6 *Virtual Journal for Biomedical Optics*

**Citation**

Romain Pierrat, Jean-Jacques Greffet, and Rémi Carminati, "Photon diffusion coefficient in scattering and absorbing media," J. Opt. Soc. Am. A **23**, 1106-1110 (2006)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-23-5-1106

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