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Leontovich, M. (1948) On the Approximate Boundary Conditions for the Electromagnetic Field on the Surface of Well Conducting Bodies. In: Vvedenskii, B.A., Ed., Investigations on Propagation of Radio Waves, AN SSSR, Moscow, 5-10.

has been cited by the following article:

• TITLE: Electrodynamics of Inhomogeneous (Laminated, Angular) Structures

  AUTHORS: Nikolay N. Grinchik

  KEYWORDS: Electromagnetic Wave, Heterogeneous Medium, Surface-Impedance Matrix, Induced Surface Charge, Boundary Conditions, Electrodiffusion Phenomena in Electrolytes, Energy Density, Heat in Electrodynamics, Aeroacoustics

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.6 No.5, April 30, 2014

  ABSTRACT: The consistent physic-mathematical model of propagation of an electromagnetic wave in a heterogeneous medium is constructed using the generalized wave equation and the Dirichlet theorem. Twelve conditions at the interfaces of adjacent media are obtained and justified without using a surface charge and surface current in explicit form. The conditions are fulfilled automatically in each section of counting schemes for calculations. A consistent physicomathematical model of interaction of nonstationary electric and thermal fields in a layered medium with allowance or mass transfer is constructed. The model is based on the methods of thermodynamics and on the equations of an electromagnetic field and is formulated without explicit separation of the charge carriers and the charge of an electric double layer. The influence of a slowly moving medium on the electromagnetic wave propagation is considered. The calculation results show the absence of the influence of the medium’s motion on the phase shift of waves, which is consistent with experimental data.