Diffusion coefficient depends on time, not on absorption

被引:16
作者
Cai, W [1 ]
Xu, M
Lax, M
Alfano, RR
机构
[1] CUNY City Coll, Inst Ultrafast Spect & Lasers, NY State Ctr Adv Technol Ultrafast Photon Mat, Dept Phys, New York, NY 10031 USA
[2] CUNY, Grad Ctr, New York, NY 10031 USA
关键词
D O I
10.1364/OL.27.000731
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The recent controversy over whether the photon diffusion coefficient depends on absorption is addressed by use of the analytical solution of the photon transport equation in an infinite homogeneous scattering medium. The diffusion coefficient is found to be independent of absorption but temporally dependent. After a long period of time, the photon diffusion coefficient approaches D = w1/3mu(s)', which supports a claim made by Furutsu and Yamada [Phys. Rev. E 50, 3634 (1994)]. At early times, the diffusion coefficient is smaller than D = 1/3mu(s)', but this reduction cannot be expressed as D = 1/3(mu(s)' + mu(a)), since the time-dependent diffusion coefficient is found to be unrelated to absorption. (C) 2002 Optical Society of America.
引用
收藏
页码:731 / 733
页数:3
相关论文
共 17 条
[1]  
[Anonymous], 1978, WAVE PROPAGATION SCA, DOI DOI 10.1016/B978-0-12-374701-3.X5001-7
[2]   Photon diffusion coefficient in an absorbing medium [J].
Aronson, R ;
Corngold, N .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1999, 16 (05) :1066-1071
[3]   Independence of the diffusion coefficient from absorption: Experimental and numerical evidence [J].
Bassani, M ;
Martelli, F ;
Zaccanti, G ;
Contini, D .
OPTICS LETTERS, 1997, 22 (12) :853-855
[4]  
Bohren C. F., 1998, ABSORPTION SCATTERIN
[5]   Analytical solution of the elastic Boltzmann transport equation in an infinite uniform medium using cumulant expansion [J].
Cai, W ;
Lax, M ;
Alfano, RR .
JOURNAL OF PHYSICAL CHEMISTRY B, 2000, 104 (16) :3996-4000
[6]   Cumulant solution of the elastic Boltzmann transport equation in an infinite uniform medium [J].
Cai, W ;
Lax, M ;
Alfano, RR .
PHYSICAL REVIEW E, 2000, 61 (04) :3871-3876
[7]  
Duderstadt J. J., 1979, Transport theory
[8]   Does the photon-diffusion coefficient depend on absorption? [J].
Durduran, T ;
Yodh, AG ;
Chance, B ;
Boas, DA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (12) :3358-3365
[9]   The diffusion coefficient depends on absorption [J].
Durian, DJ .
OPTICS LETTERS, 1998, 23 (19) :1502-1504
[10]   Pulse wave scattering by an absorber and integrated attenuation in the diffusion approximation [J].
Furutsu, K .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (01) :267-274