Open AccessSensitivity of Delta-P1 approximation model to second-order parameter
Author(s) -
Rui Wang,
Yushan Wang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.184202
Subject(s) - physics , sensitivity (control systems) , scattering , dirac delta function , function (biology) , impact parameter , point source , phase function , optics , absorption (acoustics) , diffusion , heavy traffic approximation , phase (matter) , mathematical analysis , computational physics , statistics , quantum mechanics , mathematics , electronic engineering , engineering , evolutionary biology , biology
The sensitivity of the second-order parameter of the Henyey-Greenstein phase function based on the spatially-resolved diffuse reflectance within the two-point-source approximation to the Delta-P1 approximation model is studied, and the analytical expression of the sensitivity is derived. The results show that the analytic solution of the Delta-P1 approximation model for reflectance contains the second-order parameter of the scattering phase function compared with the diffusion approximation model, and the second-order parameter has significant influence (the extreme value greater than 30%) on the analytic solution for spatially-resolved diffuse reflectance with small source-detector separations ( 1.5 mm) no matter whether the absorption is weak or strong. The research has theoretical significance for obtaining the optical information abour tissue with the second-order parameter .