Electromagnetic scattering by discrete random media illuminated by a Gaussian beam I: Derivation of the radiative transfer equation. (November 2020)

• Record Type: Journal Article
• Authors: Doicu, Adrian; Mishchenko, Michael I.; Trautmann, Thomas
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 256(2020)
• Publication Date: 2020-11
• Subjects: Gaussian beam; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2020.107301
• Languages: English
• ISSNs: 0022-4073

Abstract

Highlights: Radiative transfer in discrete random media illuminated by a Gaussian beam. Coherent field. Vector radiative transfer equation. Numerical solution of the radiative transfer equation. Abstract: In this paper we present the vector radiative transfer theory for a discrete random medium illuminated by a Gaussian beam. The analysis is based on a plane wave spectrum representation for a Gaussian beam and uses an approach developed previously for a discrete random medium illuminated by a plane electromagnetic wave. Specifically, we establish an integral representation for the coherent field, define an approximate coherent field that satisfies the differential equation fulfilled by the coherent field corresponding to a plane electromagnetic wave and matches the Gaussian beam at the interface of the particulate medium, and finally, derive the vector radiative transfer equation. For weakly focused Gaussian beams, the resulting equation is the traditional radiative transfer equation.