The Radiation Properties of a Parallel-Plane Waveguide in a Transversely Magnetized, Homogeneous Plasma

Wiener-Hopf Analysis of Planar Canonical Structures Loaded With Longitudinally Magnetized Plasma Biased Normally to the Extra-Ordinary Wave Propagation

“…This in turn results to a further simplification of ∂/∂y = 0. Moreover, the magnetized plasma (H DC = H 0ŷ ) relative permittivity tensor is also given in [21] as:…”

“…The quantities A p (λ), B p (λ) and C p (λ) involved in the above equations are arbitrary spectral functions to be estimated by enforcing the appropriate boundary conditions. The incident extra-ordinary TEM wave propagating in the parallel-plane region toward the positive z-direction is given by Johansen, [21] as well as Mittra and Lee [36], in the spatial domain as:…”

“…However, the latter will in turn vanish at a relatively small distance from the edge, provided that the plasmasubstrate thickness is small enough, in order for these modes to be below cut-off. The reflected TEM wave propagating in the parallel plane region toward the negative z-direction can be expressed again in the spatial domain as, [21]:…”

“…Even though the Wiener-Hopf equation given in (21) includes all the necessary information, one may extract a similar equation for the parallel plane region z < 0. In this case, the current density induced on the truncated conductor J s sz− (z) should be included as:…”

“…Likewise, Ivanov and Nikolaev [35] studied the same structure but with the DC-biasing magnetic field aligned parallel to the propagation direction. Besides these works, the magnetized plasma slab or sheath, either free or grounded at the one surface, was extensively studied in the 1960 decade, e.g., Seshadri and his colleagues [26], Ishimaru [29] and Johansen [21]. Even though these works did not refer to solid-state plasma, the permittivity tensor is identically the same and the theory developed is exactly applicable.…”