Analytic evaluation of diffuse fluence error in multilayer scattering media with discontinuous refractive index.

@article{Selden2011AnalyticEO,
  title={Analytic evaluation of diffuse fluence error in multilayer scattering media with discontinuous refractive index.},
  author={Adrian C. Selden},
  journal={Journal of biomedical optics},
  year={2011},
  volume={17 3},
  pages={
          035001
        }
}
  • A. Selden
  • Published 1 June 2011
  • Physics
  • Journal of biomedical optics
A simple analytic method of estimating the error involved in using an approximate boundary condition for diffuse radiation in two adjoining scattering media with differing refractive indices is presented. The method is based on asymptotic planar fluences and enables the relative error to be readily evaluated without recourse to Monte Carlo simulation. Three examples of its application are considered: (1) evaluating the error in calculating the diffuse fluences at a boundary between two media… 
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References

SHOWING 1-10 OF 18 REFERENCES

Influence of boundary conditions on photon diffusion through an interface between two turbid media with different refractive indices.

  • M. L. Shendeleva
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2010
It is shown that the analytical solutions with the Aronson boundary condition for intensity match the Monte Carlo results better than the solutions with a continuous ratio of the intensity to the squared refractive index.

Radiative transport in the delta-P1 approximation: accuracy of fluence rate and optical penetration depth predictions in turbid semi-infinite media.

Using the delta-P(1) approximation to the Boltzmann transport equation, analytic solutions for the fluence rate produced by planar and Gaussian beam irradiation of a homogeneous, turbid, semi-infinite medium are developed and the optical penetration depth decreases with a reduction in the beam diameter.

Radiative transfer in a turbid medium with a varying refractive index: comment.

  • M. L. Shendeleva
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2004
In the diffusion approximation, a simple analytical solution has been found for the steady-state illumination of a non-absorbing turbid medium with a varying refractive index.

Comparing the P3-approximation with diffusion theory and with Monte Carlo calculations of light propagation in a slab geometry

  • W. Star
  • Physics
    Other Conferences
  • 1989
The energy fluence rate in a slab of tissue has been calculated for a monodirectional and unpola- rized incident light beam of infinite diameter perpendicular to the tissue surface. Published values

Steady-state reflectance spectroscopy in the P 3 approximation

The Green’s function of the steady-state radiative-transport equation is derived in the P3 approximation for isotropic sources. It is demonstrated that the P3 approximation models the radiance in

Boundary conditions for the diffusion equation in radiative transfer.

It is concluded that noninvasive measurements of optically thick tissue require a rigorous treatment of the tissue boundary, and a unified partial-current--extrapolated boundary approach is suggested.

Index mismatch for diffuse photon density waves at both flat and rough diffuse–diffuse interfaces

By means of a surface-integral formalism we derive the integral equations for diffuse photon density waves with boundary conditions corresponding to a diffuse–diffuse interface with index mismatch

Boundary conditions for diffusion of light.

  • R. Aronson
  • Mathematics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 1995
A straightforward generalization of the proper diffusion boundary conditions is presented that takes into account Fresnel reflection and a generalized interface condition is derived to replace the usual condition of continuity of intensity.

Solution of transport equations in layered media with refractive index mismatch using the PN-method.

  • K. PhillipsS. Jacques
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2009
The main contribution is the application of a collocation method that takes into account refractive index mismatch at layer interfaces in layered slabs used to numerically simulate skin.