|
Simulating photon-transport in uniform media using the radiative transport equation: a study using the Neumann-series approach |
JOSA A, Vol. 29, Issue 8, pp. 1741-1757 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001741
Enhanced HTML 
Acrobat PDF (842 KB)
Abstract
We present the implementation, validation, and performance of a Neumann-series approach for simulating light propagation at optical wavelengths in uniform media using the radiative transport equation (RTE). The RTE is solved for an anisotropic-scattering medium in a spherical harmonic basis for a diffuse-optical-imaging setup. The main objectives of this paper are threefold: to present the theory behind the Neumann-series form for the RTE, to design and develop the mathematical methods and the software to implement the Neumann series for a diffuse-optical-imaging setup, and, finally, to perform an exhaustive study of the accuracy, practical limitations, and computational efficiency of the Neumann-series method. Through our results, we demonstrate that the Neumann-series approach can be used to model light propagation in uniform media with small geometries at optical wavelengths.
© 2012 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(110.2990) Imaging systems : Image formation theory
(170.3660) Medical optics and biotechnology : Light propagation in tissues
ToC Category:
Imaging Systems
History
Original Manuscript: March 12, 2012
Manuscript Accepted: May 21, 2012
Published: August 1, 2012
Virtual Issues
Vol. 7, Iss. 10 Virtual Journal for Biomedical Optics
Citation
Abhinav K. Jha, Matthew A. Kupinski, Takahiro Masumura, Eric Clarkson, Alexey V. Maslov, and Harrison H. Barrett, "Simulating photon-transport in uniform media using the radiative transport equation: a study using the Neumann-series approach," J. Opt. Soc. Am. A 29, 1741-1757 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-29-8-1741
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Optical Imaging: Three-Dimensional Approximation and Perturbation Approaches for Time-Domain Data (AO)
- Assessment of an extended Nijboer–Zernike approach for the computation of optical point-spread functions (JOSAA)
- Multiple-Fiber Probe Design for Fluorescence Spectroscopy in Tissue (AO)
- Extended Nijboer–Zernike representation of the vector field in the focal region of an aberrated high-aperture optical system (JOSAA)
- Three-dimensional Neumann-series approach to model light transport in nonuniform media (JOSAA)
Related Conference Papers
- Topological decomposition of composite quantum state spaces
- Topological decomposition of composite quantum state spaces
- Noisy Grovers searching algorithm
- Noisy Grovers searching algorithm
- Information gain and entropy change in generalized quantum measurements
- Information gain and entropy change in generalized quantum measurements
- Additivity for some product channels
- Additivity for some product channels
- The use of orbital angular momentum of light beams for super-high density optical data storage
OSA is a member of 