This paper outlines the matrix exponential description of radiative transfer. The
eigendecomposition method which serves as a basis for computing the matrix exponential …

We present two novel methods for computing energy spectra and angular distributions of
electrons emitted from multi-layer solids. They are based on the Ambartsumian …

Precise knowledge of the location and height of the volcanic sulphur dioxide (SO2) plume is
essential for accurate determination of SO2 emitted by volcanic eruptions. Current SO2 …

Quantitative interpretation of the electron spectroscopy data requires the information on
differential inverse inelastic mean free paths (DIIMFP) and differential surface excitation …

A method of computing x-ray photoemission spectra in the wide range of energy losses and
different sighting angles is presented. Photoemission spectra for layers of finite thickness are …

We present an analysis of a number of different approximations for the plane transmittance
T_p and diffuse attenuation coefficient K_d of a semi-infinite, unbounded, plane-parallel …

Elastic peaks electron spectroscopy (EPES) is a perspective tool for measuring the
hydrogen atomic density in hydrocarbons. It is known that hydrogen elastic peaks overlap …

Current atmospheric composition sensors provide a large amount of high spectral resolution
data. The accurate processing of this data employs time-consuming line-by-line (LBL) …

Within the framework of the classical radiative transfer theory [1],[2],[3], signal shaping of the
most recently needed method of electron spectroscopy–X-ray Photoemission Spectroscopy …

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 …