Closed form solutions for voltage pulse response of open, shorted and loaded distributed RC thin film structure

The authors present closed form solutions of uniformly distributed open, shorted and loaded RC thin film structure, for voltage pulse response, using a bisection technique, Laplace transformation, Heaviside theorem and contour integration algorithms. The voltage and current transient responses are plotted for different normalized load, time and pulsewidth parameters. Verification of the loaded solution has been done and lies between the open and shorted responses. The solutions are expressed in terms of theta functions