Sp. Gavrilov et al., COMPLEX-EXPONENTIAL REPRESENTATION OF TIME-DOMAIN RESPONSE OF A ONE-MODE RESONATOR, International journal of infrared and millimeter waves, 18(10), 1997, pp. 1967-1989
Time-domain response of a one-mode resonator is investigated by using
a complex-exponential representation of the time-domain impulse respon
se. The transient response of a resonator has calculated for a short i
ncident pulse which has rectangular form and the radio frequency filli
ng. The convolution integral has been analytically carried out and two
solutions for the time histories of the transient response of the res
onator have been found. They are the early-time and late-time portions
of the signal. The behaviour of amplitude and frequency of the transi
ent response of the electrodynamical structure under consideration is
studied.