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Spatial distribution of outward and inner wave amplitudes in limited length multilayer structure with periodic nonuniformity. Part 4. Wave in dissipative medium

I. V. Antonets 1, V. G. Shavrov 2, V. I. Shcheglov 2

1 Syktyvkar State University, Syktyvkar, Russia
Kotel’nikov Institute of Radio Engineering and Electronics, Moscow, Russia


The paper is received on March 3, 2015


Abstract. The method the one-dimensional and electromagnetic waves propagation in multi-layer structure with periodical nonuniformity is investigated by successive steps algorithm. The distribution of wave amplitudes inside the layers of structure is considered. The new form of distribution – linear-sinusoidal – which depends on medium dissipation is found. The critical value of electrical conductivity which determines the transition of structure from dielectric to metal properties is found. The comparison of effectiveness of dissipation mechanism for one-dimensional and electromagnetic waves is made. The role of dissipation in formation of discrete character of amplitude-frequency characteristics for reflection and passing of waves is found. The dissipative resonance which is due to conductivity and the exceeding of energy flow of reflected wave compared with falling wave, as it was observed early for two-layer structure, are found. As the possible mechanism for such exceeding the energy localization in the inner slides of structure in the form of active and reactive components is proposed. It is shown that in the case of metal conductivity the necessary condition of sinusoidal distribution is the exceeding the penetration length under the barrier thickness.

Key words: wave propagation, multi-layer structure, periodical nonuniformity, frequency spectrum, dissipative medium.