Analytical Models and Conditions for Optimal Protective Meander Lines

Abstract

The paper presents new analytical models for calculating the time response of a meander line (ML) turn with symmetrical cross-section and terminations to a pulse excitation. For the first time, the models were used to derive simple analytical models to equalize voltage amplitudes of the first pulses at the ML turn output: two pulses in homogeneous and three pulses in inhomogeneous dielectric filling. The obtained models were validated by quasistatic simulation. As a result, we theoretically proved that the maximum pulse amplitudes at the ML output are equal to 61.8% and 41.4% of the input amplitudes for the lines with homogeneous and inhomogeneous dielectric filling, respectively. The results could considerably simplify a computer-aided design, allowing for accelerated optimization of these structures without costly multivariate calculation of time response by numerical methods.