Orthogonality relation for a three-dimensional scattering electromagnetic field in a dispersive medium.
Considering a scattering field by a perfectly conducting sphere as a typical example, we develop a method to derive an orthogonality relation for a three-dimensional scattering electromagnetic field in a dispersive dielectric medium. Each orthogonal mode is composed of the doublet of the incident plane field and the scattering spherical plane field. The scattering field includes the near field in the vicinity of the scatterer. Expanding the total field energy stored in the whole space using the derived orthogonality relation, we show that the total field energy is expressed as the sum of the energies of independent harmonic oscillators.
Agu
M
M
Department of Media and Telecommunication Engineering, Faculty of Engineering, Ibaraki University, 4-12-1 Nakanarusawa, Hitachi 316-8511, Japan.
Li
J
J