Coupled transverse modes of coaxial metal waveguides completely filled with magnetoactive current-carrying plasma

Theory of azimuthal surface waves propagating in non-uniform waveguides

“…Influence of toroidal magnetic field non-uniformity on the ASW frequency spectrum, which propagate in metal waveguides completely filled by plasma In gaseous plasma, which is confined in toroidal experimental devices, influence of toroidicity of the utilized magnetic field on the eigen transverse electromagnetic waves [22] reveals at first, via spatial non-uniformity of an external constant toroidal magnetic field; at second, via toroidal shift of magnetic surfaces [23]; and at third, via distinguishing the forms of poloidal cross sections of magnetic surfaces from the circular cross section. Influence of the second and third factors on the eigen electromagnetic waves' dispersion properties, which propagate across an uniform axial magnetic field along a small azimuthal angle is particularly examined in [24]. This subsection is devoted to the study of the first factor's influence.…”

Coupled azimuthal modes propagating in current-carrying plasma waveguides

“…In this case [26] the splitting of frequencies of XASW and OABW is equal to 2∆ω X ≈ 3 · 10 8 s −1 for axial electric current of 90 kA. In this case [26] the splitting of frequencies of XASW and OABW is equal to 2∆ω X ≈ 3 · 10 8 s −1 for axial electric current of 90 kA.…”

“…In order to estimate the possibility of experimental observation of this phenomenon, let us assume that plasma density, n = 10 13 cm −3 and magnetic field, B 0z ≈ 4831 G. Then, for realization of linear interaction between XASW and the first radial mode of OABW one has to utilize the waveguide with b = 3.12 cm and a = 1.56 cm. In this case [26] the splitting of frequencies of XASW and OABW is equal to 2∆ω X ≈ 3 • 10 8 s −1 for axial electric current of 90 kA.…”

“…In this case one can find solutions of Maxwell equations for axial electric and magnetic fields of azimuthal electromagnetic oscillations by the method of variation of constants [26]. The tangential components of the electric field of the considered electromagnetic perturbations are assumed to be equal to zero on the metal surfaces of the coaxial line.…”

“…2.1) as the zero-th approximation. In this case one can find solutions of Maxwell equations for axial electric and magnetic fields of azimuthal electromagnetic oscillations by the method of variation of constants [26]. Other components of the electromagnetic field of coupled azimuthal waves can be expressed through E z and H z from Maxwell equations.…”