Charles Karney: Publication 22/85, Karney(1981a)

C. F. F. Karney.
Temporal evolution of nonlinear lower hybrid waves.
In E. Canobbio, H. P. Eubank, G. G. Leotta, A. Malein, and E. Sindoni, editors, Heating in Toroidal Plasmas, volume I, pages 455–461, Commission of the European Communities, Brussels, Belgium (EUR 7424 EN), 1981.
Proc. Second Joint Varenna-Grenoble International Symposium, Como, Italy, Sept. 3–12, 1980.
Reprint: htp81
BibTeX Entry

The nonlinear evolution of a single lower hybrid wave in two dimensions and time is considered. If the potential is taken to have the form φ(x, z, t ) exp(−iωt ), the equation describing the fields is iv_τ − ∫ v_ξ dζ + v_ζζ + |v|²v = 0 where v is proportional to the electric field, τ to time, and ξ and ζ measure distances across and along the lower hybrid ray. The properties of this equation are investigated numerically. When the amplitude of the injected lower hybrid waves is sufficiently large, the following phenomena are observed: the fields do not reach a steady state even though steady-state boundary conditions are imposed; the density modulations are sufficient to cause an appreciable fraction of the incident power to be reflected; the average wavenumber of the transmitted wave is larger than that of the incident wave.