The transient response of a sampling oscillographic system excited by a step-like pulse having overshoot

The transient response of a sampling oscillographic system with linear gating diodes excited by a theoretical step-like pulse possessing overshoot is analyzed. Expressions for the transient function
$h(\bar {t})$
of the excited system, the first 0–100-percent transition duration for the first crossing of the final value (100-percent) level
$\bar {t}_T$
, and the overshoot
$\bar \delta$
are derived. It is shown that the relationship between the overshoot
$\bar \delta$
of the excited system response and the overshoot δ of the step-like input pulse is
$\bar \delta = n \delta^2$
. An example of the response has been generated by computer simulation, and the overshoot relation has been compared to experimental data. The results of this work are useful in estimating the effects of overshoot in the calibration of sampling oscilloscopes and high-speed pulses.