Light transport in biological tissue based on the simplified spherical harmonics equations
Light transport in biological tissue based on the simplified spherical harmonics equations
复制标题
DOI：
10.1016/j.jcp.2006.07.007
复制
发表时间：
2006-12-20
影响因子：
4.1
通讯作者：
Larsen, Edward W.
中科院分区：
文献类型：
--
作者：
Klose, Alexander D.;Larsen, Edward W.
在这项工作中，我们证明了简化的球谐方程对于模拟生物组织中的光传输的更复杂的辐射传输方程的有效性。对于各向异性散射和部分反射边界条件，我们导出了N=7阶的简化球谐方程。我们将数值结果与扩散解和离散坐标输运解进行了比较。我们发现，简化的球谐方法显著地改善了具有高吸收和小几何的类输运区域的扩散解，并且比离散坐标输运方法的计算代价更低。例如，简化的P-3方法大约比离散坐标运输法快两个数量级，但在计算上只多2.5倍！比扩散法要求更高。我们的结论是，简化的球谐函数方法可以准确地模拟光在可见和近红外波长下在小组织几何中的传播，得到类似传输的解，而传输计算的计算成本只有一小部分。(C)2006 Elsevier Inc.保留所有权利。
In this work, we demonstrate the validity of the simplified spherical harmonics equations to approximate the more complicated equation of radiative transfer for modeling light propagation in biological tissue. We derive the simplified spherical harmonics equations up to order N=7 for anisotropic scattering and partially reflective boundary conditions. We compare numerical results with diffusion and discrete ordinates transport solutions. We find that the simplified spherical harmonics methods significantly improve the diffusion solution in transport-like domains with high absorption and small geometries, and are computationally less expensive than the discrete ordinates transport method. For example, the simplified P-3 method is approximately two orders of magnitude faster than the discrete ordinates transport method, but only 2.5 times computationally more! demanding than the diffusion method. We conclude that the simplified spherical harmonics methods can accurately model light propagation in small tissue geometries at visible and near-infrared wavelengths, yielding transport-like solutions with only a fraction of the computational cost of the transport calculation. (c) 2006 Elsevier Inc. All rights reserved.