Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Scaling property of the diffusion equation for light in a turbid medium with varying refractive index

Not Accessible

Your library or personal account may give you access

Abstract

A spatially varying refractive index leads to the bending of photon paths in a medium, which complicates the Monte Carlo modeling of a photon random walk. We show that the process of photon diffusion in a turbid medium with varying refractive index and curved photon paths can be mapped to the diffusion process in a medium with straight photon paths and modified optical properties. Specifically, the diffusion coefficient, the absorption, and the refractive index of the second medium should differ from the corresponding properties of the first medium by the factor of the squared refractive index of the first medium. The specific intensity of light in the second medium will then be equal to the specific intensity in the first medium divided by the same factor, which also means that the photon density distributions in the two media will be identical. In a Monte Carlo simulation the scaling property suggests that two different algorithms can be used to obtain the photon density distribution, namely, the algorithm with curved photon paths and given optical properties and the algorithm with straight photon paths and modified optical properties.

© 2007 Optical Society of America

Full Article  |  PDF Article
More Like This
Scaling method for fast Monte Carlo simulation of diffuse reflectance spectra from multilayered turbid media

Quan Liu and Nirmala Ramanujam
J. Opt. Soc. Am. A 24(4) 1011-1025 (2007)

Radiative transfer in a turbid medium with a varying refractive index: comment

Margarita L. Shendeleva
J. Opt. Soc. Am. A 21(12) 2464-2467 (2004)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (61)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved