Frequency and polarization transformer: Transverse modes: I zero rise time

A frequency transformer that converts a linearly polarized standing wave into frequency-shifted extraordinary (X) standing waves is considered. The transformer is a one-dimensional cavity in which a magnetoplasma, that supports "transverse modes," is created. Theoretical derivation for the case of sudden and uniform creation of the magnetoplasma is given. It is shown that the switching would result in transformation of the original source wave into three new waves, each having unique frequency, amplitude, and phase. One of these modes is a dc component of zero frequency called the wiggler mode having a wiggler electric as well as a wiggler magnetic component. The wiggler electric field is the unique aspect of the switching problem studied in this paper. A few illustrative results are presented as graphs and tables to illustrate the effects of source and system parameters. They include a case of conversion from linear to circular polarization.