Separation of the instantaneous and dynamic Polarizations in studies of dispersive dielectrics Kharkov, Ukraine, June 25-30, 2007

Abstract

Forced oscillations are studied in a closed resonator filled with a polar dielectric. Time-dependent current density is installed in Maxwell's equations as an externally forced signal source. The latter can be an arbitrary integrable function of time. The system of Maxwell's equations (with partial derivative(t)) is solved simultaneously with Debye equation for the polarization vector, which plays role of a dynamic constitutive relation between the polarization vector and the electric field. The electromagnetic field vectors are presented as modal expansions in terms of the solenoidal and irrotational modes both with time-dependent modal amplitudes. A set of evolutionary differential equations for the modal amplitudes, supplemented with appropriate initial conditions, is derived and solved explicitly. The instantaneous and dynamic component parts of polarization are present in the solutions separately.