For years there has been great interest in the radar survivability communities concerning the response of materials to narrow picosecond pulse excitation. In this report, we have calculated the nonlinear response of magnetodielectric thin layers to picosecond excitation utilizing direct time-domain integration. This is in contrast to our previous frequency-domain calculations,1 where the nonlinear properties of the material were dealt with only in an approximate manner. Using time domain calculations, relaxations, hysteresis, and magnetization phenomena associated with the response are, therefore, investigated in depth. The purpose of this calculation was to provide an analytical method by which physical properties of materials can be identified under picosecond pulse excitation as well as to explore special cases of excitations in which picosecond pulses are efficiently absorbed. The calculations indicate that by examining the reflected wave form of the incident rectangular picosecond pulse the amount of magnetic hysteresis and saturation of the material may be estimated. It is shown that magnetic hysteresis will affect the shape of the trailing edge of the reflected signal, whereas the magnetic saturation effect can be identified from the slope of the reflected pulse step. Examples of designing effective picosecond pulse screening structures have also been illustrated. The difference in between the time domain and frequency domain calculations are, therefore, discussed and compared.