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
2 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.
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