Improving the Analysis of the Propagation of Impulse Signals in Structures of N Cascades of Coupled Lines
The results of improving the analysis of the propagation of impulse signals in coupled transmission lines are presented using the example of multi-cascade structures based on a meander line (ML) turn. For complete decomposition of the ultrashort pulse (USP) at the output of multicascade structures, it is necessary that all decomposition pulses in each subsequent cascade come to its end not earlier than the decomposition pulses from the previous turn. Thus, it is necessary to ensure that the delay of each subsequent decomposition pulse is greater than the delay of the previous one by the value of the total duration of the USP. The universal conditions for the complete decomposition of USPs in multicascade MLs with an arbitrary, including asymmetric, cross section from an arbitrary number of cascades are formulated. Approbation of the conditions was carried out on several examples of multi-cascade structures with broadside coupling. In the ML of 2 turns, the number of main decomposition impulses was 16, and the attenuation of the USP was 9.3 times, of 3 turns - 64 and 24.1 times, respectively, of 4 turns - 256 and 84.9 times, respectively. The mathematical apparatus (which includes conditions) and the functionality of the new software module of the TALGAT system, designed for the convenience of analyzing the response of multistage structures, are briefly presented. A demonstration of the operation of the module is presented on the example of a structure of 4 turns with a broadside coupling. The presented results make it possible to significantly simplify and speed up the analysis of multicascade structures based on ML, modal filters, or simple coupled lines.