Asymmetrical coupled coplanar-type transmission lines with anisotropic substrates

Quasi‐analytical static solution for the generalized boxed coplanar waveguide

“…Note that (17) can be identified as the sine-Fourier transform of: (19) where E,(x') is the electric field x-component along the metallized interface; Q(x), the amount of free charge allocated from x' = 0 to x' = x ,…”

“…Therefore, the "singular part" of Yas(x, x') is: 2z + -In(x + x') (29) IT T h e convolution integrals in (27) T h e last computation step of (27) is to carry out the inner products. Only the inner product involving the convolution integral of lnlx -x'I has been found t o have closed form [see (19) of ref.…”

“…Most of the numerical and analytical methods developed to analyze microstrip lines have been adapted to handle a variety of CPW configurations. Relaxation methods [11,12], the integral equation technique [ 131, the spectral domain method [14,15], the network analytical method [16], the point matching method [17], the variational method [18][19][20][21], the time-domain finite-difference method [22], the generalized transverse resonance technique [23], the hybrid conformal mapping-finite element method , the boundary elements method [27], and the method of lines [28] Although extremely useful, the expressions provided by most of these works involve some type of approximation and, in general, they are suitable for particular configurations within a specified range of electrical and geometrical parameters. This work follows a fully different approach to quickly compute the quasi-TEM parameters of the boxed GCPW structure in multilayered medium shown in Figure 1.…”