The problem of a pulsed short-duration ultra-wideband (UWB) electromagnetic field incident on a multiple-layer lossy dielectric wall is considered. The electromagnetic fields are computed utilizing both frequency-domain (FFT) and finite-difference time-domain (FDTD) formalisms. Computed results, pertaining to internal and external EM fields, based on FFT and FDTD formulations are compared. The effects of layer thickness and material composition on the reflected and transmitted EM pulse are analyzed. The application of UWB technology to nondestructive testing (NDT) and evaluation of multilayer structures is discussed.