The monograph is devoted to physical and electrodynamic methods of studying multilayer structures. The matrix method solved the problems of propagation of one-dimensional and electromagnetic waves during normal and inclined (longitudinal and transverse polarization) fall on a structure consisting of an arbitrary number of media with different parameters. Cases of unidirectional and counter waves are considered. The distribution, communication, conjugation, transmission matrices have been determined, wave amplitudes. have been found The dependences of the coefficients of reflection, passage and exit from the thickness of the media and the angle of incidence of the wave under different parameters of the structure. are given. The methods of matrix for quadripoles, layered media and the method of transmission matrix. are considered Characteristic matrices of homogeneous medium in general and exponential forms are obtained, for one plot and an arbitrary number of plots of waveguide media. The work will be useful to students and graduate students of physical specialties of universities and institutes, as well as teachers, engineers and researchers in the field of technical sciences .