About attenuation of videopulse in nonlinear transmission lines with ideal dielectric

TL;DR

This paper derives exact analytical formulas to characterize video pulse attenuation in nonlinear transmission lines with ideal dielectric, accounting for electrode conductivity and skin effect, independent of dispersion and dielectric nonlinearity.

Contribution

It provides new formulas for pulse attenuation in nonlinear lines that are independent of dispersion and dielectric nonlinearity, applicable to various line geometries.

Findings

Formulas for voltage drop U_sigma derived for coaxial and strip lines.

Formulas account for electrode conductivity and skin effect.

Applicable for evaluating shock electromagnetic wave attenuation.

Abstract

The attenuation of the video pulse with monotonically increasing input voltage in a transmission lines with an ideal dielectric can be characterized by "ohmic" voltage drop $U_\sigma$ along the electrodes with finite conductivity. The exact analytical formulas for the calculations $U_\sigma$ in coaxial and strip lines with and without taking into account the strong skin effect have been obtained. These formulas do not depend on the dispersion and the degree of nonlinearity of the dielectric and therefore is suitable for evaluating of shock electromagnetic waves attenuation