Publication Abstracts

Doicu and Mishchenko 2019

Doicu, A., and M.I. Mishchenko, 2019: An overview of methods for deriving the radiative transfer theory from the Maxwell equations. II: Approach based on the Dyson and Bethe-Salpeter equations. J. Quant. Spectrosc. Radiat. Transfer, 224, 25-36, doi:10.1016/j.jqsrt.2018.10.032.

In this paper, the vector radiative transfer equation is derived by means of the vector integral Foldy equations describing the electromagnetic scattering by a group of particles. By assuming that in a discrete random medium the positions of the particles are statistically independent and by applying the Twersky approximation to the order-of-scattering expansion of the total field, we derive the Dyson equation for the coherent field and the ladder approximated Bethe-Salpeter equation for the dyadic correlation function. Then, under the far-field assumption for sparsely distributed particles, the Dyson equation is reduced to the Foldy integral equation for the coherent field, while the iterated solution of the Bethe-Salpeter equation ultimately yields the vector radiative transfer equation.

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BibTeX Citation

@article{do04200y,
  author={Doicu, A. and Mishchenko, M. I.},
  title={An overview of methods for deriving the radiative transfer theory from the Maxwell equations. II: Approach based on the Dyson and Bethe-Salpeter equations},
  year={2019},
  journal={J. Quant. Spectrosc. Radiat. Transfer},
  volume={224},
  pages={25--36},
  doi={10.1016/j.jqsrt.2018.10.032},
}

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RIS Citation

TY  - JOUR
ID  - do04200y
AU  - Doicu, A.
AU  - Mishchenko, M. I.
PY  - 2019
TI  - An overview of methods for deriving the radiative transfer theory from the Maxwell equations. II: Approach based on the Dyson and Bethe-Salpeter equations
JA  - J. Quant. Spectrosc. Radiat. Transfer
VL  - 224
SP  - 25
EP  - 36
DO  - 10.1016/j.jqsrt.2018.10.032
ER  -

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