Flat temperature waves in a semitransparent absorbing and scattering medium

An approximate method is proposed for the analytic investigation of the amplitude-phase characteristics of harmonic oscillations of temperature and power in a planar layer of a semitransparent medium. In this problem allowance is made for volume absorption, radiation, scattering, selectivity of optical properties, and a certain degree of transparency of the boundary surfaces. The solution of the linearized radiation-conduction heat-transfer equation is based on an approximation of the complex amplitude of the temperature oscillations in terms of a polynomial of a certain degree and on determination of the coefficients of this polynomial by the collocation method.