Publication Abstracts
Doicu and Mishchenko 2019
Doicu, A., and , 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={Journal of Quantitative Spectroscopy and Radiative 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 JO - Journal of Quantitative Spectroscopy and Radiative Transfer VL - 224 SP - 25 EP - 36 DO - 10.1016/j.jqsrt.2018.10.032 ER -
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