It is shown that an alumina or zircon ceramic coating deposited on the surface of a foamed-metal permeable matrix in a multichamber detonation facility increases the effective temperature of the working surface of the matrix. Surface combustion on a matrix with a ceramic coating is characterized by a decrease in the emission of harmful components (10–16% in NOx and twofold in CO). In the presence of a flat heat exchanger over the matrix surface, the concentration of nitrogen oxides at the firing rate of ~60 W/cm2 decreases to 1–2 ppm. The concentration of carbon monoxide is less than 45 ppm. The use of a radiation screen in a volumetric matrix with a ceramic coating can significantly extend the concentration limits of surface combustion, to air-to-fuel ratios of α = 0.47 and 2.1 at the lean and rich limits, respectively.