The Elimination Method Applied to Analyze Wave Propagation in Multilayer Media with Randomly Distributed Layer Parameters

摘要

A simple technique called the elimination method is proposed for calculation of the reflected and transmitted wave amplitudes in the case when two counterpropagating waves are incident on a multilayer structure with a step irregularity. The functioning of the method is exemplified by a structure consisting of ten media where the wave numbers are randomly distributed. The properties of the distribution of the reflected wave amplitude density that are due to the relationship between the structure's thickness and the minimum wavelength in it are revealed. It is shown that a disorder in the distribution of wave numbers in the interior of the structure reduces reflection, and a parameter quantitatively characterizing this reduction is proposed.