Time-dependent pseudopotential and its application for the description of the charged particles averaged motion. Part 3. Time dependent signals characterized by "slow" and "fast" characteristic time

The series of publications describes a new method to control the movement of the charged particles by high frequency electric fields. This new class of high frequency electric fields is characterized by pseudopotentials slowly evolving in time. The paper considers the time signals which can be characterized by "slow" and "fast" characteristic times. The universal representation for the signals with the spectra separated into narrow intervals with non-zero spectral function was obtained. Different technical approaches for the generation of such time signals are considered.