Plasma sphere equilibrium in external r.f. fields

The problem on confinement and equilibrium of the spherical plasma formation in external r.f. electromagnetic fields is solved using the method of the integral equation of macroscopic electrodynamics. Namely, the problem of plasma confinement with r.f. pressure forces (the Gaponov-Miller force) is formulated and self-consistent problem of the external electromagnetic field providing the required configuration of non-disturbance electromagnetic fields e.g. the field in which together with volume charge forces taken into account forms the spherical symmetric potential well is solved. It is shown that such a solution exists only if there is rotating ordered motion of plasma. It is naturally that the non-disturbance confining r.f. field is determined only in the region linear dimensions of which correspond to the sphere ones. The field value out of these dimensions is defined solving the corresponding non-corrected mathematical problem. This permits to build the source of the confining field with the definite arbitrariness that makes easier to realize the device in practice

The thin structure of waveguide dielectric accelerating system elements

Last years the works appeared in which models of artificial dielectrics containing in a frequency band simultaneously negative values of the dielectric permittivity and magnetic permeability were discussed [1, 2]. As is shown in [3], the electromagnetic wave propagation in such a media is characterized with peculiarities that are important to understand the electromagnetic radiation interaction with tissues in vivo. The aim of this work is to show that such a media in organic nature can be meet at every step, and the mechanism of formation of simultaneous negative values of ε(ω) and μ(ω) is contained already by their physical structures. Moreover, experimental facts are known confirming the existence of positive and negative values of ε and μ in a narrow frequency band that, unfortunately, is still not completely understood till now