A review of the matrix-exponential formalism in radiative transfer

DS Efremenko, VM García, SG García… - Journal of Quantitative …, 2017 - Elsevier
This paper outlines the matrix exponential description of radiative transfer. The
eigendecomposition method which serves as a basis for computing the matrix exponential …

Multi-core-CPU and GPU-accelerated radiative transfer models based on the discrete ordinate method

DS Efremenko, DG Loyola, A Doicu… - Computer Physics …, 2014 - Elsevier
The operational processing of remote sensing data usually requires high-performance
radiative transfer model (RTM) simulations. To date, multi-core CPUs and also Graphical …

Analysis of the discrete theory of radiative transfer in the coupled “ocean–atmosphere” system: Current status, problems and development prospects

VP Afanas' ev, AY Basov, VP Budak… - Journal of Marine …, 2020 - mdpi.com
In this paper, we analyze the current state of the discrete theory of radiative transfer. One-
dimensional, three-dimensional and stochastic radiative transfer models are considered. It is …

Numerical modeling of the radiative transfer in a turbid medium using the synthetic iteration

VP Budak, GA Kaloshin, OV Shagalov, VS Zheltov - Optics Express, 2015 - opg.optica.org
In this paper we propose the fast, but the accurate algorithm for numerical modeling of light
fields in the turbid media slab. For the numerical solution of the radiative transfer equation …

Solution of the radiative transfer equation for vertically inhomogeneous media by numerical integration solvers: comparative analysis

IA Chuprov, DN Konstantinov, D Efremenko… - Light and …, 2022 - elib.dlr.de
An efficiency of the singular value decomposition (SVD) method and ordinary differential
equation (ODE) solvers in finding the reflection matrix are compared. A reflection matrix can …

Discrete ordinate radiative transfer model with the neural network based eigenvalue solver: Proof of concept

DS Efremenko - Light & Engineering, 2021 - elibrary.ru
Artificial neural networks are attracting increasing attention in various applications. They can
be used as 'universal approximations', which substitute computationally expensive …

A fast and accurate synthetic iteration-based algorithm for numerical simulation of radiative transfer in a turbid medium

VP Budak, VS Zheltov, AV Lubenchenko… - … and Oceanic Optics, 2017 - Springer
It has been shown that the regular part of the solution (RPS) which remains after separating
the anisotropic part of the solution (APS) in the small-angle modification of the spherical …

Determination of the bottom surface profile

ER Lyu, VA Kan, IV Prokhorov… - … on Atmospheric and …, 2017 - spiedigitallibrary.org
Based on the mathematical model of the propagation of an acoustic signal in a fluctuating
medium, the inverse problem is formulated, which includes determination a function that …

Remote sensing problem with multiple scattering effect

PA Vornovskikh… - … on Atmospheric and …, 2017 - spiedigitallibrary.org
The kinetic model of radiation transfer, based on the non-stationary transfer equation, is
considered. The explicit solution of the inverse problem, which consists of determining the …

Russian investigations in the field of atmospheric radiation in 2011–2014

YM Timofeev, EM Shul'gina - Izvestiya, Atmospheric and Oceanic Physics, 2016 - Springer
A short survey prepared by the Russian Commission on Atmospheric Radiation contains the
most significant results of work in the field of atmospheric-radiation studies performed in …