SCATTERING BY A MOVING PEC PLANE AND A DIELECTRIC HALF-SPACE IN HERTZIAN ELECTRODYNAMICS

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

1. Van Bladel, J., (1984), Relativity and Engineering, Springer Series in Electrophysics, Vol.15.
2. 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.
3. 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.
4. 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.
5. Kong, J.A., (2000), Electromagnetic Wave Theory, EMW Pub.
6. Censor, D., (2000), Application oriented relativistic electrodynamics (2), Progress in Electromagnetics Research, Vol. 29, 107-168.
7. Censor, D., (2002), Non-relativistic electromagnetic scattering: reverse engineering using the Lorentz
8. 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.

9. Polat, B., (2012), On the axiomatic structure of Hertzian electrodynamics, TWMS Journal of Applied and Engineering Mathematics, Vol.2, No.1, 35-59.
10. Einstein, A., (1905), Zur elektrodynamik bewegter k¨orper, Annalen der Physik,17, 891-921.
11. Ugarov, V.A., (1979), Special Theory of Relativity, Mir Publishers, Moscow, (translated from Russian by Y. Atanov).
12. Polat, B., (2012), Scattering by a moving circular cylinder in Hertzian electrodynamics. Sel¸cuk Journal of Applied Mathematics Vol.13, No.1.