光子学报, 2011, 40 (7): 1117, 网络出版: 2011-08-10   

辐射传输方程的三阶球谐展开(P3)近似的有限元法求解

Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation
作者单位
天津大学 精密仪器与光电子工程学院,天津 300072
引用该论文

马文娟, 高峰, 朱苹苹, 易茜. 辐射传输方程的三阶球谐展开(P3)近似的有限元法求解[J]. 光子学报, 2011, 40(7): 1117.

MA Wenjuan, GAO Feng, ZHU Pingping, YI Xi. Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation[J]. ACTA PHOTONICA SINICA, 2011, 40(7): 1117.

参考文献

[1] KENNETH M C, PAUL F Z. Linear transport theory[M]. Boston:AddisonWesley Publishing Company, 1967: 278300.

[2] ISHIMARU A. Wave propagation and scattering in random media Vol, 1:Single scattering and transport theory[M]. New York: Academic, 1978.

[3] STEVEN L J. Tutorial on diffuse light transport[J]. Journal of Biomedical Optics, 2008, 13(4): 041320.

[4] ANDRE C, JOAN B, HYUN K. An overview on recent radiation transport algorithm development for optical tomography imaging[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2008, 109: 27432766.

[5] YASUO H, YUKIO Y, MAMORU T, et al. MonteCarlo simulation of light transmission through living tissue[J]. Appl Opt, 1991, 30(31): 45154520.

[6] TOSHIYUKI H, YOSHIHIKO K, EIJI O. Hybrid Monte Carlodiffusion method for light propagation in tissue with a lowscattering region[J]. Appl Opt, 2003, 42(16): 28882896.

[7] 张凤生, 王海峰, 张阳. 光学相干层析成像系统的蒙特卡罗模拟[J]. 光子学报, 2009, 38(7): 18201825.

    ZHANG Fengsheng, WANG Haifeng, ZHANG Yang. Monte carlo simulation for optical coherence tomography system[J]. Acta Photonica Ssinica, 2009, 38(7): 18201825.

[8] 卫沛锋, 赵永强, 梁彦, 等. 偏振光在多层散射介质中传输的蒙特卡罗模拟研究[J]. 光子学报, 2009, 38(10): 26342639.

    WEI Peifeng, ZHAO Yongqiang, LIANG Yang, et al. Monte carlo simulations of polarized light transport in multilayered scattering media[J]. Acta Photonica Ssinica, 2009, 38(10): 26342639.

[9] CARLSON B G. Transport theory discrete ordinate quadrature over the unit sphere[R]. LANL, Rept. LA4554, Los Alamos Nat. Lab. , 1970.

[10] 金蒙,高峰,李娇,等.二维稳态辐射传输方程的有限差分求解法[J]. 光子学报,2010, 39(9): 5941601.

    JIN Meng, GAO Feng, LI Jiao, et al. A finitedifferencemethod solution to twodimensional steadystate radiative transfer equation[J]. Acta Photonica Sinica, 2010, 39(9): 15941601.

[11] FLETCHER J K. The solution of the multigroup neutron transport equation using spherical harmonics[J]. Nuclear Science and Engineering, 1983, 84: 3346.

[12] ARRIDGE S R. Optical in medical imaging[J]. Inverse Problem, 1999, 15: 4193.

[13] GAO Feng, ZHAO Huijuan, YUKARI T, et al. Optical tomographic mapping of cerebral haemodynamics by means of timedomain detection: methodology and phantom validation[J]. Phys Med Biol, 2004, 49(6): 10551078.

[14] 马艺闻,徐雅洁,高峰,等.基于图像分割的时域乳腺扩散光学层析成像方法[J]. 光子学报,2009, 38(9): 24232429.

    MA Yiwen, XU Yajie, GAO Feng, et al. Timedomain breast diffuse optical tomography based on image segmentation[J]. Acta Photonica Ssinica, 2009, 38(9): 24232429.

[15] JIANG H B. Optical image reconstruction based on the thirdorder diffusion equation[J]. Opt Express, 1999, 4(8): 241246.

[16] 徐可欣,高峰,赵会娟. 生物医学光子学[M]. 北京:科学出版社,2007: 5168.

[17] HAROLD J, BERTHA S J. Methods of mathematical physics[M]. 3rd ed. New York: Cambridge University Press, 1999.

[18] MORTON K W, MAYERS D F. Numerical solution of partial differential equations[M]. New York: Cambridge University press, 2005.

马文娟, 高峰, 朱苹苹, 易茜. 辐射传输方程的三阶球谐展开(P3)近似的有限元法求解[J]. 光子学报, 2011, 40(7): 1117. MA Wenjuan, GAO Feng, ZHU Pingping, YI Xi. Finite Element Method for ThreeOrder (P3) Approximation of Radiative Transfer Equation[J]. ACTA PHOTONICA SINICA, 2011, 40(7): 1117.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!