Title :
Investigation of the influence of periodic disturbances in the layered medium by the method of averaging of Krylov-Bogolyubov
Author :
Kramarenko, K.Y. ; Khizhnyak, N.A.
Author_Institution :
Nat. Sci. Center, Kharkov Inst. of Phys. & Technol., Kharkov, Ukraine
Abstract :
The influence of small periodic disturbances in periodic dielectric medium on propagation of TM-waves, investigated by the Krylov-Bogolyubov averaging method, results in the phenomenon of parametric resonance. As a result of periodic disturbance inside the allowed bands of undisturbed medium forbidden bands appear. The appearance of forbidden bands is conditioned by a parametric resonance between spatial harmonics of disturbance and plane waves, on which the solution of the wave equation in a periodic medium is decomposed. The location, number and width of these bands are determined
Keywords :
electromagnetic wave polarisation; electromagnetic wave propagation; harmonics; inhomogeneous media; linear differential equations; resonance; wave equations; Krylov-Bogolyubov averaging method; TM-polarized wave; TM-wave propagation; band location; bandwidth; forbidden bands; layered medium; linear differential equation; parametric resonance; periodic dielectric medium; periodic disturbances; plane waves; spatial harmonics; wave equation solution; Differential equations; Fourier series; Ice;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6347-7
DOI :
10.1109/MMET.2000.890542
