Scattering and resonant frequency of a toroidal plasma covered by a dielectric layer

In this study, by calculating the electric potential related to the toroid cold plasma covered with a dielectric layer, we obtain resonant frequency of this configuration in two different states of polarization of the incident electric field. We consider the incident electric field along the parallel to the axis of the torus and along the perpendicular to the axis of the torus. By solving the Laplace equation and using the appropriate boundary conditions in the toroidal coordinates, we calculate the electrical potential inside plasma and dielectric layer and outside the considered configuration. Then resonant frequency of the toroid plasma derived. Furthermore, the electrical field inside the plasma is calculated. Then, we plot the normalized resonant frequency and the normalized amplitudes of the potentials for different polarizations of the electric field numerically. The resonant frequency as function of geometry and dielectric constant are calculated. It is assumed that the wavelength of incident wave is much greater than the dimensions of the cross section of the plasma torus.

Automated summary

In this study, the resonant frequency of a toroid cold plasma covered with a dielectric layer is calculated for two different polarizations of the incident electric field. The electrical field inside the plasma is also calculated. The results show that the resonant frequency is dependent on the geometry and dielectric constant.