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Open Access Publications from the University of California

Use of the delta-P1 approximation for recovery of optical absorption, scattering, and asymmetry coefficients in turbid media.

  • Author(s): Hayakawa, Carole K
  • Hill, Brian Y
  • You, Joon S
  • Bevilacqua, Frédéric
  • Spanier, Jerome
  • Venugopalan, Vasan
  • et al.

We introduce a robust method to recover optical absorption, reduced scattering, and single-scattering asymmetry coefficients (microa, micro's, g1) of infinite turbid media over a range of (micro's/microa) spanning 3 orders of magnitude. This is accomplished through the spatially resolved measurement of irradiance at source-detector separations spanning 0.25-8 transport mean free paths (l*). These measurements are rapidly processed by a multistaged nonlinear optimization algorithm in which the measured irradiances are compared with predictions given by the delta-P1 variant of the diffusion approximation to the Boltzmann transport equation. The ability of the delta-P1 model to accurately describe radiative transport within media of arbitrary albedo and on spatial scales comparable to l* is the key element enabling the separation of g1 from micro's.

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