Modeling of the vertically installed planar coupled lines by the numerical conformal transformation technique

Coupled Strip Lines with Highly Unbalanced Electromagnetic Coupling and their Use

“…In articles [17,18,21] the calculation of primary and secondary parameters CSL with a vertical substrate using various methods with set geometrical sizes and substrate properties was studied.…”

“…If 14 1     (filling with air), we get a system of two equations for defining 23 ,  of the horizontally and vertically positioned substrates (Fig. 2  were being defined using formula (21) and the calculation of coupled lines' primary and secondary parameters was being done using the grid method by the program NETEPSILON (Table 1). Knowing the matrices of per unit capacities, inductances and effective permittivities lets us define the characteristic impedances of the synphase and antiphase wave [22]…”

“… , but a third iteration was needed after the clarification using (21). Wherein the ratio The realization of coupled lines constructions with synthesized sizes is inconvenient for the installation of a vertical substrate.…”

“…Expression(21) is fair, strictly speaking, only if the electric field change due to 2  and 3  variation is small. The calculation of the primary and secondary CSL parameters was done whilst with the variation of…”

An experimental research of the ultra-wideband pulse propagation in a transdirectional coupler based on coupled striplines

“…The coupler is implemented on a structure with a vertical substrate with high dielectric constant, which allows providing a three times ratio of normal wave velocities and acceptable impedance matching. Subsequent publications described a computer model of such a structure based on the method of numerical conformal transformations [15]. In these works, TDCs were investigated in the frequency domain.…”