On the Direct Calculation of UWB Impulse Signal Transmitting through a Finitely Conducting Slab

A simplified closed-form analytic solution for UWB impulse signal transmitting through a finitely conducting slab is proposed in this paper. The approach requires first evaluating the impulse response of the slab and then convolving it with the specified incident field waveform. To obtain the impulsive transmitting field, either for vertical or horizontal polarization, approximations to the refraction coefficients and propagation loss, which can be approved to be accurate enough comparing with their frequency domain solutions, are made. Thereby, it permits simplified closed-form expressions in the time domain for both terms. The resulting transient response for the transmitting impulse field is then given by convolution of the time domain refraction coefficients and time domain propagation loss. A numerical example of incident monocycle transmitting though a slab using this technique is presented to illustrate the effective use of the method.