• Chinese Journal of Lasers
  • Vol. 37, Issue 4, 1147 (2010)
Wang Rui1、2、* and Liu Ying2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3788/cjl20103704.1147 Cite this Article Set citation alerts
    Wang Rui, Liu Ying. Study of Delta-P1 Approximation Model for Two-Point-Source[J]. Chinese Journal of Lasers, 2010, 37(4): 1147 Copy Citation Text show less

    Abstract

    The analytic solution for spatially-resolved diffuse reflectance based on the Delta-P1 approximation for the two-point-source approximation is investigated. We have derived the radiative transport equation and the expression of the effective source by using scattering phase function which contains Dirac delta function. The analytic solution RDelta-P1,2(ρ) considering two-point-source approximation to the Delta-P1 model is presented. By comparing RDelta-P1,2(ρ) with the diffusion approximation RSDA(ρ),it is demonstrated that the Delta-P1 approximation RDelta-P1,2(ρ) models the radiance in moderate albedo media or close to source (ρ about 1.5 mm) more accurately than diffusion theory with the relative errors within 15%. Furthermore,the analytic solution RDelta-P1,2(ρ) provides the prediction of the second-order parameter γ of phase function,which is important for developing the inversion algorithm to recover optical parameters from the spatially-resolved diffuse reflectance measurements with small source-detector separations.
    Wang Rui, Liu Ying. Study of Delta-P1 Approximation Model for Two-Point-Source[J]. Chinese Journal of Lasers, 2010, 37(4): 1147
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