“…To determine the thickness of the oxide layer H and its distribution over the film surface, we solved Equation (1) using the “equivalent time” method proposed earlier by Libenson, M.N. [ 35 ], which had numerous applications in our and other authors’ works (for example, [ 24 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ]) for calculation of the dynamics of oxidation, taking into account the temperature distribution in the film at the heating T heat and cooling T cool stages for each pulse [ 34 ]: where ρ me , c me , ρ ox , c ox , ρ S , and c S are the densities and heat capacities of the metal layer, oxide layer, and substrate, respectively; a S is the substrate thermal diffusivity; h and h me = ( h − H/υ PB ) are the thicknesses of the metal layer before and after laser action; υ PB is the Pilling–Bedworth coefficient, which equals the ratio of the molar volumes of the metal oxide and metal itself, 1.78 for Ti [ 36 ]; T in is the initial film temperature; q ( x ) is the spatial distribution of laser intensity along the transverse coordinate x , which was approximated by a sine function; τ is the laser pulse duration; A(x, H) is the film absorption, which was evaluated for each pulse using the optical matrices method (according to [ 37 ]) depending on the oxide layer thickness at the beginning of the pulse action. The heat transfer characteristic ( γ ) from the film to the substrate corresponds to: …”