A band theory of helicon propagation

Nonlinear Density Wave Propagation in Layered Superconducting Plasmas

“…2 (with upper sign), the frequency increases, thus both propagation bands and gaps shift to the right, the lower sign shows the same trend as described above. This is qualitatively similar to the case investigated by Ali and Shah [16], Baynham and Boardman [6]. In Fig.…”

“…We now introduce the boundary conditions, which are used in the standard treatment of layered media having a Kronig-Penney structure, and wave propagation across the layers is considered [6,7]. Soliton solution for the current densities of the two layers is connected to one another at the boundary of the two layers in the following way: j 1 j zd l j 2 j zd 1 ; 20 @j 1 @z zd 1 @j 2 @z where d 1 d 2 d, and K is the nonlinear analog of the Bloch wave number.…”

“…We note here that eq. (24) is quadratic in cos ( Kd), whereas in the linear case [4,6,7] the dispersion relation was linear in cos ( Kd). Therefore the charge density wave solitons have two modes of propagation corresponding to the two solutions of eq.…”

“…Such materials have included metal±semiconductor or semiconductor±insulator periodic layers etc. The theoretical work of Baynham and Boardman [6,7] is considered a watershed for the further description of theoretical work in the area of periodic multilayer structures. Since then a lot of theoretical work has appeared investigating both linear and nonlinear properties of wave propagation in periodic multilayer media (e.g.…”

The optimisation of the constituents of helicon-based filters

“…The possibility of constructing tunable microwave filters, based on the properties of helicons, is discussed in some earlier publications (Baynham and Boardman 1968, 1969, 1971. Since these papers appeared, the authors have not published a detailed account of the operation of a helicon-based filter.…”