A time-dependent distribution of ratios of energy scattered by the medium or reflected by the boundary surfaces (DRESOR) method was proposed to solve the transient radiative transfer in a one-dimensional slab. This slab is filled with an absorbing, scattering, and nonemitting medium and exposed to a collimated, incident serial pulse with different pulse shapes and pulse widths. The time-dependent DRESOR values, representing the temporal response of an instantaneous, incident pulse with unit energy and the same incident direction as that for the serial pulse, were proposed and calculated by the Monte Carlo method. The temporal radiative intensity inside the medium with high directional resolution can be obtained from the time-dependent DRESOR values. The transient incident radiation results obtained by the DRESOR method were compared to those obtained with the Monte Carlo method, and good agreements were achieved. Influences of the pulse shape and width, reflectivity of the boundary, scattering albedo, optical thickness, and anisotropic scattering on the transient radiative transfer, especially the temporal response along different directions, were investigated.
1.
Trivedi
, A.
, Basu
, S.
, and Mitra
, K.
, 2005, “Temporal Analysis of Reflected Optical Signals for Short Pulse Laser Interaction With Nonhomogeneous Tissue Phantoms
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 93
, pp. 337
–348
.2.
Mitra
, K.
, and Kumar
, S.
, 1997, HTD-Vol. 353, Proc. ASME Heat Transfer Division, Vol. 3, pp. 359–365.3.
Longtin
, J. P.
, and Tien
, C. L.
, 1996, “Saturable Absorption During High-Intensity Laser Heating of Liquids
,” ASME J. Heat Transfer
0022-1481, 118
, pp. 924
–930
.4.
Liu
, F.
, Yoo
, K. M.
, and Alfano
, R. R.
, 1993, “Ultrafast Laser-Pulse Transmission and Imaging Through Biological Tissues
,” Appl. Opt.
0003-6935, 32
(4
), pp. 554
–558
.5.
Mitra
, K.
, and Kumar
, S.
, 1993, “Development and Comparison of Models for Light Pulse Transport Through Scattering-Absorbing Media
,” Appl. Opt.
0003-6935, 38
, pp. 188
–196
.6.
Tan
, Z. M.
, and Hsu
, P. F.
, 2001, “An Integral Formulation of Transient Radiative Transfer
,” ASME J. Heat Transfer
0022-1481, 123
, pp. 466
–475
.7.
Wu
, C. Y.
, and Ou
, N. R.
, 2002, “Differential Approximations for Transient Radiative Transfer Through a Participating Medium Exposed to Collimated Irradiation
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 73
, pp. 111
–120
.8.
Ayranci
, I.
, and Selçuk
, N.
, 2004, “MOL Solution of DOM for Transient Transfer in 3-D Scattering Media
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 84
, pp. 409
–422
.9.
Hsu
, P. F.
, 2001, “Effects of Multiple Scattering and Reflective Boundary on the Transient Radiative Transfer Process
,” Int. J. Therm. Sci.
1290-0729, 40
, pp. 539
–549
.10.
Guo
, Z. X.
, Aber
, J.
, Garetz
, B. A.
, and Kumar
, S.
, 2002, “Monte Carlo Simulation and Experiments of Pulsed Radiative Transfer
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 73
, pp. 159
–168
.11.
Lu
, X. D.
, and Hsu
, P. F.
, 2005, “Reverse Monte Carlo Simulations of Light Pulse Propagation in Nonhomogeneous Media
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 93
, pp. 349
–367
.12.
Chai
, J. C.
, 2003, “One-Dimensional Transient Radiation Heat Transfer Modeling Using a Finite-Volume Method
,” Numer. Heat Transfer, Part B
1040-7790, 44
(2
), pp. 187
–208
.13.
An
, W.
, Ruan
, L. M.
, Tan
, H. P.
, Qi
, H.
, and Lew
, Y. M.
, 2007, “Finite Element Simulation for Short Pulse Light Radiative Transfer in Homogeneous and Nonhomogeneous Media
,” ASME J. Heat Transfer
0022-1481, 129
(3
), pp. 353
–362
.14.
Liu
, L. H.
, and Liu
, L. J.
, 2007, “Discontinuous Finite Element Approach for Transient Radiative Transfer Equation
,” ASME J. Heat Transfer
0022-1481, 129
(8
), pp. 1069
–1074
.15.
Brewster
, M. Q.
, and Yamada
, Y.
, 1995, “Optical Properties of Thick, Turbid Media From Picosecond Time-Resolved Light Scattering Measurement
,” Int. J. Heat Mass Transfer
0017-9310, 38
, pp. 2569
–2581
.16.
Hasegawa
, Y.
, Yamada
, Y.
, Tamura
, M.
, and Nomura
, Y.
, 1991, “Monte Carlo Simulation of Light Transmission Through Living Tissues
,” Appl. Opt.
0003-6935, 30
, pp. 4515
–4520
.17.
Zhou
, H. C.
, and Cheng
, Q.
, 2006, “The DRESOR Method for the Transient Radiative Transfer in an Isotropic Scattering Gray Plane-Parallel Medium
,” Proceedings of Eurotherm78—Computational Thermal Radiation in Participating Media II
, D.
Lemonier
, N.
Selçuk
, and P.
Lybaert
, eds., Poitiers, France
, Apr. 5–7, pp. 105
–114
.18.
Ilie
, D.
, Mullan
, C.
, Connor
, G.
, TFlaherty
, T.
, and Glynn
, T.
, 2007, “Controlled Process for Polymer Micromachining Using Designed Pulse Trains of a UV Solid State Laser
,” Appl. Surf. Sci.
0169-4332, 254
(4
), pp. 845
–849
.19.
Chowdhury
, I. H.
, Xu
, X. F.
, and Weiner
, A. M.
, 2003, “Ultrafast Pulse Train Micromachining
,” Proc. SPIE
0277-786X, 4978
, pp. 138
–146
.20.
Jiang
, L.
, and Tsai
, H. L.
, 2005, “Repeatable Nanostructures in Dielectrics by Femtosecond Laser Pulse Trains
,” Appl. Phys. Lett.
0003-6951, 87
, pp. 151104
–151106
.21.
Jiang
, L.
, and Tsai
, H. L.
, 2006, “Energy Transport and Nanostructuring of Dielectrics by Femtosecond Laser Pulse Trains
,” ASME J. Heat Transfer
0022-1481, 128
(9
), pp. 926
–933
.22.
Spyridaki
, M.
, Koudoumas
, E.
, Tzanetakis
, P.
, Fotakis
, C.
, Stoian
, R.
, Rosenfeld
, A.
, and Hertel
, I. V.
, 2003, “Temporal Pulse Manipulation and Ion Generation in Ultrafast Laser Ablation of Silicon
,” Appl. Phys. Lett.
0003-6951, 83
, pp. 1474
–1476
.23.
Zhou
, H. C.
, Chen
, D. L.
, and Cheng
, Q.
, 2004, “A New Way to Calculate Radiative Intensity and Solve Radiative Transfer Equation Through Using the Monte Carlo Method
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 83
, pp. 459
–481
.24.
Cheng
, Q.
, and Zhou
, H. C.
, 2007, “The DRESOR Method for a Collimated Irradiation on an Isotropically Scattering Layer
,” ASME J. Heat Transfer
0022-1481, 129
(5
), pp. 634
–645
.25.
Zhou
, H. C.
, Lou
, C.
, Cheng
, Q.
, Jiang
, Z. W.
, He
, J.
, Huang
, B. Y.
, Pei
, Z. L.
, and Lu
, C. X.
, 2005, “Experimental Investigations on Visualization of Three-Dimensional Temperature Distributions in a Large-Scale Pulverized-Coal-Fired Boiler Furnace
,” Proc. Combust. Inst.
1540-7489, 30
(1
), pp. 1699
–1706
.26.
Modest
, M. F.
, 2003, Radiative Heat Transfer
, 2nd ed., Academic
, New York
.27.
Zhou
, H. C.
, Cheng
, Q.
, Huang
, Z. F.
, and He
, C.
, 2007, “The Influence of Anisotropic Scattering on the Radiative Intensity in a Gray, Plane-Parallel Medium Calculated by the Dresor Method
,” J. Quant. Spectrosc. Radiat. Transf.
0022-4073, 104
(1
), pp. 99
–115
.28.
Sakami
, M.
, Mitra
, K.
, and Hsu
, P. F.
, 2000, “Transient Radiative Transfer in Anisotropically Scattering Media Using Monotonicity-Preserving Schemes
,” Proceedings of IMECE 2000
, Orlando, FL
, Nov. pp. 5
–10
.Copyright © 2008
by American Society of Mechanical Engineers
You do not currently have access to this content.
