Title :
Laguerre Runge--Kutta--Fehlberg Method for Simulating Laser Pulse Propagation in Biological Tissue
Author :
Handapangoda, Chintha C. ; Premaratne, Malin ; Yeo, Leslie ; Friend, James
Author_Institution :
Monash Univ., Clayton
Abstract :
An efficient algorithm for solving the transient radiative transfer equation for laser pulse propagation in biological tissue is presented. A Laguerre expansion is used to represent the time dependency of the incident short pulse. The Runge-Kutta-Fehlberg method is used to solve the intensity. The discrete ordinates method is used to discretize with respect to azimuthal and zenith angles. This method offers the advantages of representing the intensity with a high accuracy using only a few Laguerre polynomials, and straightforward extension to inhomogeneous media. Also, this formulation can be easily extended for solving the 2-D and 3-D transient radiative transfer equations.
Keywords :
Runge-Kutta methods; bio-optics; biological tissues; inhomogeneous media; 2-D transient radiative transfer equations; 3-D transient radiative transfer equations; Laguerre Runge-Kutta-Fehlberg method; Laguerre expansion; Laguerre polynomials; biological tissue; discrete ordinates method; inhomogeneous media; laser pulse propagation; Biological system modeling; Biological tissues; Biomedical optical imaging; Chebyshev approximation; Equations; Optical attenuators; Optical propagation; Optical pulses; Optical scattering; Tomography; Biological tissue; Laguerre expansion; Runge--Kutta--Fehlberg (RKF) method; discrete ordinates method;
Journal_Title :
Selected Topics in Quantum Electronics, IEEE Journal of
DOI :
10.1109/JSTQE.2007.913971
