A priori estimates in the problems of synthesis of layered media

We estimate the energy transmission coefficient of a layered medium and its rate of change in terms of parameters of the layered medium: its thickness, permissible limits of change of its wave impedance, etc. With application to the synthesis of multi-layered optical coverings, we discuss the use of a priori estimates in the specification of the synthesis, and in concrete calculations using synthesis programs to determine the useful regions of the parameters.