Frequency and Polarization Transformer: Transverse Modes: II Finite 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 ldquotransverse modes,rdquo is created. The plasma is assumed to be created in finite rise time. The broad conclusions, arrived in a preceding paper based on zero rise time, that the switching would result in transformation of the original source wave into 3 new waves including a wiggler electric as well as a wiggler magnetic field mode are shown to be still valid. However, it is shown that the amplitudes of the various modes are affected by the rise time. Finite-difference time-domain technique is used to study the effect of the finite rise time.