The Schott Energy and the Reactive Energy in Electromagnetic Radiation
and Mutual Couplings
- Gaobiao Xiao
Gaobiao Xiao
Shanghai Jiao Tong University, Shanghai Jiao Tong University, Shanghai Jiao Tong University
Corresponding Author:[email protected]
Author ProfileAbstract
In the proposed theory for analyzing the electromagnetic radiation and
electromagnetic mutual couplings in vacuum, the electromagnetic energy
associated with a source is basically separated into two parts. One is
the Coulomb-velocity energy that is attached to the source, the other is
the radiative energy that will depart from the source. A macroscopic
Schott energy term is introduced to account for the interchange between
the Coulomb-velocity energy and the radiative energy. It has shown that
the Schott energy will disappear with its sources but not
simultaneously. It continues to exist for a short while after its source
disappeared and will finally convert to radiative energy. The reactive
electromagnetic energy consists of the Coulomb-velocity energy and the
Schott energy, while the radiative energy also includes the contribution
of the Schott energy. The theory provides a consistent formulation for
the reactive energies and power balance equations both in time domain
and frequency domain, which is validated with the radiation of a
Hertzian dipole. By applying the Lienard-Wiechert potentials, this paper
illustrates that the macroscopic Schott energy exactly agrees with the
one obtained by many researchers for a non-relativistic moving charged
particle.