Data evaluation of a linear system by a second-order transfer function

A technique for predicting the response of a linear system to an electromagnetic pulse, based only on the measured continuous-wave magnitude, is applied to a particular system as a case study. The measured magnitude representing the system's transfer function is deduced first from the measured response to a known CW source. We next we derive an analytic expression for the magnitude square of the transfer function to approximate the measured data and obtain a system transfer function in terms of the complex frequency. Finally, we predict the system's CW phase characteristics and its multiple solutions due to a given impulse source.