对于生物医学光子学领域中的新技术-扩散光子密度波技术进行了理论上的研究与扩展,给出了长为a,宽为b,高为无限大的矩形边界条件下光子密度波扩散方程的二阶微扰解析解.由于实际测到的物理量多为光通量,演算出了与入射面相对应面处的光子通量和介质中的吸收系数改变量之间的关系.并利用人体前臂肌肉组织的典型光学参数,给出了二阶微扰解的模拟计算结果,并与一阶微扰计算结果进行了比较.结果表明,二阶微扰解比原有的一阶微扰解在计算精度上有一定的提高,尤其是在异常体附近精度更是有较大的提高.所得二阶结果不仅为利用扩散方程进行生物组织成像问题提供了更加精确的理论基础,而且对于图像质量尤其是分辨异物的能力的提高具有促进作用.
参考文献
| [1] | Yodh A,Chance B.Spectroscopy and imaging with diffusion light [J].Phys.Today,1995,48:34-40. |
| [2] | Walker Scott A,Boas David A,Gratton Enrico.Photon density wave scattered from cylindrical inhomogeneities:theory and experiments [J].Appl.Opt.,1998,37(10):1935-1944. |
| [3] | Markel Vadim A,Schotland John C.Inverse problem in optical diffuse tomography.I.Fourier-Laplace inversion formulas [J].J.Opt.Soc.Am.A,2001,18(6):1336-1347. |
| [4] | Tang Guilin,Lü Haibao,Chen Changshui,et al.Theoretical study and simulation of diffuse light from biological tissue [J].Chinese Journal of Quantum Electronics (量子电子学报),2002,19(3):226-230 (in Chinese). |
| [5] | Gaudette Thomas.Diffuse Photon Density Wave [OL].http://lynx.dac.neu.edu/t/tgaudett/current/current.htm. |
| [6] | Jaruwatanadilok Sermsak,Ishimaru Akira,et al.Photon density wave for imaging through random media [J].Waves in Random Media,2002,12:351-364. |
| [7] | Zhu Tuo,Zhu Xiangdong,Zhang Yixin,et al.Solution of diffusion equation in multiple-scattering media with photon densing wave [J].Laser Technology (激光技术),2002,26(4):318-320 (in Chinese). |
| [8] | Deng Xiaoyuan,Xing Da.Simulation study of diffuse photon density waves traveling through normal and abnormal biological tissue [J].Acta Photonica Sinica (光子学报),2000,29(12):1057-1060 (in Chinese). |
| [9] | Aronson Raphael,Corngold Noel.Photon diffusion coefficient in an absorb medium [J].J.Opt.Soc.Am.A,1999,16(5):1066-1071. |
| [10] | Zhang Lianshun,Zhang Chunping,Wang Xinyu,et al.Simulation study for noninvasive determination of the optical scattering and absorption coefficients of biological tissue [J].Chinese Journal of Quantum Electronics (量子电子学报),2002,19(4):318-322 (in Chinese). |
| [11] | Xu Tang,Zhang Chunping,Wang Xinyu,et al.Diffusion approximation and modeling for fluence rate distribution of the CW-light in biological [J].Acta Photonica Sinica (光子学报),2003,32(5):571-575 (in Chinese). |
| [12] | Gollin R E.Field Theory of Guided Waves (2nd ed) [M].New York:IEEE Press,1991.476. |
| [13] | Lin Ling,Li Gang,Wang Yanqiu,et al.In vivo determination of the optical properties of human fat and muscle tissues [J].Journal of Optoelectronocs · Laser (光电子·激光),2001,12(4):425-429 (in Chinese). |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%