Analytical solutions of the radiative transport equation for the reflectance and fluorescence from layered media illuminated by a finite beam

André Liemert; Alwin Kienle

doi:10.1117/12.2183757

16 July 2015 Analytical solutions of the radiative transport equation for the reflectance and fluorescence from layered media illuminated by a finite beam

André Liemert, Alwin Kienle

Author Affiliations +

Proceedings Volume 9538, Diffuse Optical Imaging V; 95380D (2015) https://doi.org/10.1117/12.2183757
Event: European Conferences on Biomedical Optics, 2015, Munich, Germany

Abstract

Exact and efficient analytical solutions of the three dimensional radiative transport equation in the spatial frequency, the spatial, the temporal frequency, and time domains were derived for two-layered scattering media. Index mismatched boundary conditions based on Fresnel's equations were implemented and arbitrary rotational symmetric phase functions were applied to characterize the scattering in the turbid media. Solutions were derived for obliquely incident beams having arbitrary spatial profiles. The derived analytical solutions were successfully validated with Monte Carlo simulations and partly compared with analytical solutions of the diffusion equation for two-layered scattering media.

Citation Download Citation

André Liemert and Alwin Kienle "Analytical solutions of the radiative transport equation for the reflectance and fluorescence from layered media illuminated by a finite beam", Proc. SPIE 9538, Diffuse Optical Imaging V, 95380D (16 July 2015); https://doi.org/10.1117/12.2183757

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available