“…A problem of infrared (IR) tomography [1][2][3][4] of a hot gaseous medium, e.g., flame, is considered in this work. IR tomography has numerous applications including the determination of hot gas absorption, emission, and temperature profiles in a cross section of a laboratory burner flame [5], plasma [6][7][8][9], flame inside a boiler, furnace, or steam generator [10], and hot gas flow [11], e.g., one from a rocket nozzle; -IR spectroscopic tomography of temperature and gaseous species concentrations as the diagnostics of pulverized coal or biomass firing and burning [11]; laser-based thermometry as the coherent anti-Stokes Raman scattering (CARS) measurements (point diagnostics) of a laboratory burner flame [5]; stratified atmosphere parameters determination (temperature, pressure, absorption, emission, etc.)…”