Analytical Models for the Time Response of a Microstrip Line with Two Additional Symmetrical Conductors on Top under Different Boundary Conditions at Their Ends

Abstract

Introduction. Protection of radio electronic equipment (REA) against various electromagnetic interferences is an important aspect of electromagnetic capability. Among interferences for REA, ultra-short pulses of picosecond and nanosecond ranges represent the highest danger due to their high voltage, short duration, and wide spectrum. One effective protection measure consists in the use of bandpass devices based on modal decomposition, such as modal filters (MF). This requires an analysis of distortion of the temporal response of bandpass devices, which is usually carried out numerically. However, even for simple configurations, this approach is associated with high computational costs. Yet simple analytical time-response models are acceptable in some cases. In the initial design stages, such models are extremely useful in providing a preliminary solution and a rapid assessment of response distortions. Therefore, comparison of time responses obtained by numerical methods and analytical models appears an important research task. Aim. To compare the time responses obtained by quasi-static analysis and analytical models. Materials and methods. Analytical models for computing time responses based on a modal analysis technique were considered. A quasi-static modeling of a microstrip line (MSL) with two additional symmetrical conductors on top in the TALGAT system was carried out. Results. Analytical models are proposed for an MSL with two additional symmetrical conductors on top taking different boundary conditions at their ends into account. The accuracy and reliability of the proposed models are verified by comparing the time responses obtained by quasi-static analysis and the proposed models. The results obtained showed good agreement. Conclusion. It is shown that an MSL with two additional symmetrical conductors on top can be used as an MF under different boundary conditions at the ends of these conductors. The proposed models allow the shape and amplitude of the response to be estimated with acceptable accuracy, reducing time and computational costs.