Abstract
For a demonstration of the predictions of Hertzian Electrodynamics in scattering problems, a general formulation is provided which is followed by various applications of the presented methodology to 2-D canonical problems involving a Perfect Electrical Conductor PEC plane and a dielectric half-space in uniform and harmonic motions under plane wave incidence.
Keywords
Maxwell Equations Moving Media Hertz Equations Continuum Mechanics Frame Indifference Progressive Derivatives.
References
- Van Bladel, J., (1984), Relativity and Engineering, Springer Series in Electrophysics, Vol.15.
- Huang, Y.X., (1997), Wave four-vectors for the electromagnetic waves in relatively moving dielectric media, Journal of Modern Optics, Vol.44, No.3, 623-631.
- Huang, Y.X., (1998),The transverse magnetic wave and the Brewster angle for a dielectric medium in an arbitrary direction, Journal of Modern Optics, Vol.45, No.8, 1725-1734.
- He,Q. and Huang, Y.X., (2000), Reflection of plane electromagnetic waves from the surface of a perfect conductor moving in an arbitrary direction, Chinese Science Bulletin, Vol. 45, No.17, 1564-1568.
- Kong, J.A., (2000), Electromagnetic Wave Theory, EMW Pub.
- Censor, D., (2000), Application oriented relativistic electrodynamics (2), Progress in Electromagnetics Research, Vol. 29, 107-168.
- Censor, D., (2002), Non-relativistic electromagnetic scattering: reverse engineering using the Lorentz
- Force formulas, Progress in Electromagnetics Research, Vol. 38, 199-221. Idemen, M. and Alkumru, A., (2006), Relativistic scattering of a plane wave by a uniformly moving half-plane, IEEE Trans. Antennas and Propagat., Vol. 54, No.11, 3429- 3440.
- Polat, B., (2012), On the axiomatic structure of Hertzian electrodynamics, TWMS Journal of Applied and Engineering Mathematics, Vol.2, No.1, 35-59.
- Einstein, A., (1905), Zur elektrodynamik bewegter k¨orper, Annalen der Physik,17, 891-921.
- Ugarov, V.A., (1979), Special Theory of Relativity, Mir Publishers, Moscow, (translated from Russian by Y. Atanov).
- Polat, B., (2012), Scattering by a moving circular cylinder in Hertzian electrodynamics. Sel¸cuk Journal of Applied Mathematics Vol.13, No.1.
Abstract
References
- Van Bladel, J., (1984), Relativity and Engineering, Springer Series in Electrophysics, Vol.15.
- Huang, Y.X., (1997), Wave four-vectors for the electromagnetic waves in relatively moving dielectric media, Journal of Modern Optics, Vol.44, No.3, 623-631.
- Huang, Y.X., (1998),The transverse magnetic wave and the Brewster angle for a dielectric medium in an arbitrary direction, Journal of Modern Optics, Vol.45, No.8, 1725-1734.
- He,Q. and Huang, Y.X., (2000), Reflection of plane electromagnetic waves from the surface of a perfect conductor moving in an arbitrary direction, Chinese Science Bulletin, Vol. 45, No.17, 1564-1568.
- Kong, J.A., (2000), Electromagnetic Wave Theory, EMW Pub.
- Censor, D., (2000), Application oriented relativistic electrodynamics (2), Progress in Electromagnetics Research, Vol. 29, 107-168.
- Censor, D., (2002), Non-relativistic electromagnetic scattering: reverse engineering using the Lorentz
- Force formulas, Progress in Electromagnetics Research, Vol. 38, 199-221. Idemen, M. and Alkumru, A., (2006), Relativistic scattering of a plane wave by a uniformly moving half-plane, IEEE Trans. Antennas and Propagat., Vol. 54, No.11, 3429- 3440.
- Polat, B., (2012), On the axiomatic structure of Hertzian electrodynamics, TWMS Journal of Applied and Engineering Mathematics, Vol.2, No.1, 35-59.
- Einstein, A., (1905), Zur elektrodynamik bewegter k¨orper, Annalen der Physik,17, 891-921.
- Ugarov, V.A., (1979), Special Theory of Relativity, Mir Publishers, Moscow, (translated from Russian by Y. Atanov).
- Polat, B., (2012), Scattering by a moving circular cylinder in Hertzian electrodynamics. Sel¸cuk Journal of Applied Mathematics Vol.13, No.1.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | December 1, 2012 |
| Published in Issue | Year 2012 Volume: 2 Issue: 2 |