The linear MoM is used to solve the 1D integral equation of the electric field with linear approximation of the longitudinal current, sinusoidal basis functions, and test functions of rectangular pulse .
For conducting the analysis of the nanocircuit shown in Figure 1, the linear method of moments is applied to solve the 1D integral equation of the electric field with linear approximation of the longitudinal current, sinusoidal basis functions, and test functions of the rectangular pulse .
The method of moments (MoM) was applied to find the solution of the 1D integral equation for the electric field with linear approximation of the longitudinal current, finite surface impedance to represent losses in the conductor, sinusoidal basis functions, and rectangular pulse for test functions.
In previous expression, with I(s ') is labeled unknown longitudinal current distribution along conductor axis (s' coincide with z axis), K([??], s') = (1/[r.sub.1]) + (1/[r.sub.2])is the kernel, while [r.sub.1] and [r.sub.2] are distances from the conductor element, i.e.
The longitudinal current distribution is assumed in polynomial form (15).
The positive longitudinal current density [i.sub.z], is given by, [Mathematical Expression Omitted] The total current is then, [Mathematical Expression Omitted] Where [E.sub.b] = [E.sub.r] at r = b.
The values of the longitudinal current are given by [Mathematical Expression Omitted]
A certain complexity is the calculation of the flux density of the MF of cable lines with two-point bonded cable shields , when longitudinal currents are induced in them [5, 6], The known engineering methods for calculating MF of cable lines [1, 4, 5], for such cases, are based on numerical methods.
However, this technique does not take into account the influence of the proximity effect on the MF of cable line [8, 9], which related to non-uniformity of the densities of the longitudinal currents in the cable shields, the description of which is analytically difficult.
Note that the entries of [L.sub.T] do not relate magnetic linkage fluxes with currents (longitudinal currents do not exist in MGTL theory).
In the familiar case of an ELTL, the pul longitudinal inductance matrix [L.sub.L] relates magnetic fluxes linked with system subcircuits (circuits k-0), with system longitudinal currents. In the case of an MGTL longitudinal currents are absent; the interpretation for the pul transverse inductance matrix [L.sub.T] can be found in terms of magnetic energy storage in the volume of the dielectric medium--due to the presence of stray magnetic field lines between magnetic wires, which give rise to magnetic voltages.
The main advantage of single-sided grounding is the absence of longitudinal currents
in the shields, which does not violate the thermal mode of the CL and ensures the maximum throughput of the CL.