Transmission and Reflection Coefficients in Time-Domain for a Dielectric Slab for UWB Signals

Abstract

The time-domain (TD) solutions for the reflection and transmission through a dielectric slab case are presented. In contrast to other existing solutions, the proposed ones can incorporate correctly the multiple internal reflections inside the slab in simple and easy-to-use closed forms. The comparison of the proposed solutions against the numerical inverse Fourier transform of the received waveforms as these were calculated in the frequency domain reveals an extremely good agreement and validates the correctness of our TD forms.

A New Time-Domain Solution to Transmission Through a Multilayer Low-Loss Dielectric Wall Structure for UWB Signals

“…4 Transmitted field through a low-loss multilayer wall compared with the reference Gaussian doublet pulse, with drywall [28] and wood [31] Fig. 5 Transmitted field through a low-loss multilayer wall with brick [33] and dry concrete [31] the polarizations are in excellent agreement with corresponding IFFT of exact FD results, thus providing validation to the proposed TD solution. The Figs.…”

“…In this work, we have taken the cases of both hard and soft polarizations under the condition of low loss assumption. In the first scenario, first and third layers of the wall are considered to be made up of drywall [30] and second layer is considered to be made up of wood [33]. In another scenario, first and third layers of the wall are considered to be made up of brick [35] and second layer is considered to be made up of dry concrete [33].…”

“…6 Comparison of the transmitted field through a multilayer wall of different thickness, with first and third layers as drywall [28] and second layer as wood [31] Fig. 7 Comparison of the transmitted field through a multilayer wall of different thickness, with first and third layers as brick [33] and second layer as dry concrete [31] A comparison between the computation times of the IFFT-FD method and the proposed TD solution for Figs. 4 and 5 is presented in Table 3.…”

Time-domain UWB transmission model for three-dimensional environments with low-loss obstacles

“…Transmitted field through the building structure (Fig. 1) for soft polarization, with glass [9,31], brick [13] and wood [11].…”

“…The TD solutions for the reflection and transmission through a dielectric slab were presented in Ref. [13]. The TD solutions for transmission through a multilayer wall structure were presented in Ref.…”