Propagation of electromagnetic waves in a shielded dielectric layer with cubic nonlinearity

Author(s):  
S.V. Tikhov ◽  
D.V. Valovik
1996 ◽  
Vol 10 (5) ◽  
pp. 731-739 ◽  
Author(s):  
N.A. Khizhnyak ◽  
N.V. Ryazantseva ◽  
V.V. Yachin

2019 ◽  
Vol 1 (1) ◽  
Author(s):  
V. K. Balkhanov ◽  
Yu B. Bashkuev

Earth's the surface is often strongly inductive, consisting of a dielectric layer thickness endpoint, lying on an unlimited conductor basis. Electromagnetic wave, spreading along the surface, it appears captured dielectric layer, spreading it as in the waveguide channel. Waveguide theory it is known that the spread in the waveguide can only electromagnetic waves with a discrete set of frequencies. And experience shows that the captured waveguide channel electromagnetic waves can be any frequency. The article found that this behavior is due to the fact that electromagnetic waves in free space border - dielectric layer damped height in several wavelengths. Thus the thickness of the dielectric layer becomes more effectively, and this leads to a reduction of the minimum frequency of the waveguide. A discrete set of frequencies is blurred so that cover each other. Thus, a discrete set of frequencies becomes solid, and captured waveguide channel electromagnetic waves are independent of frequency.


2003 ◽  
Vol 59 (10-12) ◽  
pp. 80-92 ◽  
Author(s):  
G. S. Vorobyov ◽  
?. S. Krivets ◽  
M.V. Petrovsky ◽  
Aleksei Ivanovich Tsvyk ◽  
A. A. Shmat'ko

1986 ◽  
Vol 173 ◽  
pp. 625-642 ◽  
Author(s):  
D. G. Crighton

G. I. Taylor's solution in 1910 for the interior structure of a weak shock wave is, with appropriate generalization, an essential component of weak-shock theory. The Taylor balance between nonlinear convection and thermoviscous diffusion is, however, endangered when other linear mechanisms - such as density stratification, geometrical spreading effects, tube wall attenuation and dispersion, etc. - are included. The ways in which some of these linear mechanisms cause the Taylor shock structure to break down when a weak shock has propagated over a large (and in some cases quite moderate) distance will be studied. Different forms of breakdown of the Taylor shock structure will be identified, both for quadratic (gasdynamic) nonlinearity and also for cubic nonlinearity appropriate to transverse waves in solid media or electromagnetic waves in nonlinear dielectrics. From this a description will be given of the fate of a nonlinear wave containing a pattern of weak shock waves, as it propagates over large ranges under the influence of linear and nonlinear mechanisms.


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