New extraction method of the scattering parameters of a physical system starting from its causal bond graph model: Application to a microwave filter

Abstract

The general idea consists of using jointly the bond graph technique and the scattering formalism. For that, we propose to extract the scattering parameters of a microwave filter with localized or distributed elements from its causal bond graph model while starting with the determination of the integro-differentials operators which is based, in their determination, on the causal ways and causal loops present in the associated bond graph model, and which gives rise to the wave matrix which gathers the incident and reflected waves propagation of the studied filter. The scattering parameters, founded from the wave matrix, were checked by comparison of the simulation results. Thereafter, we used a procedure to model these scattering parameters on a particular type of bond graph model often named Scattering Bond Graph Model. Key words: Waves propagation, bond graph modelling, high frequency domain, scattering parameters, integro-differentials operators, microwave filter, modelling and simulation.