Ray series for electromagnetic waves in static heterogeneous bianisotropic dielectric media
Autor: | Ludek Klimes |
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Rok vydání: | 2016 |
Předmět: |
Hamiltonian mechanics
Series (mathematics) Mathematical analysis 020206 networking & telecommunications 02 engineering and technology Gauge (firearms) 010502 geochemistry & geophysics 01 natural sciences Electromagnetic radiation symbols.namesake Amplitude Frequency domain 0202 electrical engineering electronic engineering information engineering symbols Magnetic potential Electric potential 0105 earth and related environmental sciences Mathematics |
Zdroj: | 2016 URSI International Symposium on Electromagnetic Theory (EMTS). |
Popis: | We consider generally bianisotropic dielectric media. We consider the linear constitutive relations for bianisotropic media in the Boys-Post representation without spatial dispersion. We propose the high-frequency asymptotic ray series in terms of the magnetic vector potential. For the sake of simplicity, we assume that the media are static (do not change with time). In this case we can work in frequency domain, apply 3-D spatial rays, and avoid 4-D space-time rays. We assume that the media are so smoothly heterogeneous that we can apply the high-frequency ray-theory approximation. We assume the Weyl gauge (zero electric potential), which is best suited for electromagnetic wave fields. We derive the Hamiltonian function which specifies the rays and travel time. We then derive the transport equations for the zero-order and higher-order vectorial amplitudes. |
Databáze: | OpenAIRE |
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