The integral equation formulation for transient radiative transfer in two-dimensional cylindrical nonhomogeneous absorbing and linearly anisotropically scattering media with collimated pulse irradiation is presented. The integral equations are solved by the quadrature method. The results by the present method agree quite well with those obtained by the Monte Carlo method. The effects of spatially variable properties on transient radiative transfer are investigated for various optical sizes and extinction coefficient distributions. The blocking effect on transient two-dimensional radiative transfer in nonhomogeneous media is different from that on steady-state radiative transfer. [S0022-1481(00)00204-8]
Issue Section:
Technical Notes
1.
McCormick
, N. J.
, 1982
, “Remote Characterization of a Thick Slab Target With a Pulsed Laser
,” J. Opt. Soc. Am.
, 72
, pp. 756
–759
.2.
Mitra, K., and Kumar, S., 1997, “Application of Transient Radiative Transfer Equation to Oceanographic Lidar,” Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition, HTD-Vol. 353, ASME, New York, pp. 359–365.
3.
Mitra
, K.
, and Churnside
, J. H.
, 1999
, “Transient Radiative Transfer Equation Applied to Oceanographic Lidar
,” Appl. Opt.
, 38
, pp. 889
–895
.4.
Yamada, Y., 1995, “Light-Tissue Interaction and Optical Imaging in Biomedicine,” Annual Review of Heat Transfer, Vol. 6, C. L. Tien, ed., Begell House, New York, pp. 1–59.
5.
Arridge
, S. R.
, 1999
, “Optical Tomography in Medical Imaging
,” Inverse Probl.
, 15
, pp. R41–R93
R41–R93
.6.
Wilson
, B. C.
, and Patterson
, M. S.
, 1986
, “The Physics of Photodynamic Therapy
,” Phys. Med. Biol.
, 31
, pp. 327
–360
.7.
Brewster
, M. Q.
, and Yamada
, Y.
, 1995
, “Optical Properties of Thick, Turbid Media From Picosecond Time-Resolved Light Scattering Measurements
,” Int. J. Heat Mass Transf.
, 38
, pp. 2569
–2581
.8.
Hielscher
, A. H.
, Liu
, H.
, Chance
, B.
, Tittel
, F. K.
, and Jacques
, S. L.
, 1996
, “Time-Resolved Photon Emission From Layered Turbid Media
,” Appl. Opt.
, 35
, pp. 719
–728
.9.
Yamada
, Y.
, and Hasegawa
, Y.
, 1996
, “Time-Dependent FEM Analysis of Photon Migration in Biological Tissues
,” JSME Int. J., Ser. B
, 39
, pp. 754
–761
.10.
Pomraning, G. C., 1973, The Equations of Radiation Hydrodynamics, Pergamon, Oxford.
11.
Hunt
, G. E.
, 1967
, “The Transport Equation of Radiative Transfer in a Three-Dimensional Space With Anisotropic Scattering
,” J. Inst. Math. Appl.
, 3
, pp. 181
–192
.12.
Wu
, C.-Y.
, and Wu
, S.-H.
, 2000
, “Integral Equation Formulation for Transient Radiative Transfer in an Anisotropically Scattering Medium
,” Int. J. Heat Mass Transf.
, 43
, pp. 2009
–2020
.13.
Walters, D. V., and Buckius, R. O., 1994, “Monte Carlo Methods for Radiative Heat Transfer in Scattering Media,” Annual Review of Heat Transfer, Vol. 5, C. L. Tien, ed., CRC, Boca Raton, FL, pp. 131–176.
14.
Wu, S.-H, 2000, “A Study on Transient Radiative Transfer by Solving Integral Equations and Monte Carlo Simulation,” Ph.D. thesis, National Cheng Kung University, Tainan, Taiwan, R.O.C. (in Chinese).
15.
Wu
, C.-Y.
, 2000
, “Propagation of Scattered Radiation in a Participating Planar Medium With Pulse Irradiation
,” J. Quant. Spectrosc. Radiat. Transf.
, 64
, pp. 537
–548
.16.
Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.
Copyright © 2000
by ASME
You do not currently have access to this content.
