Application of the Scattering Bond Graph Methodology for Composite Right/Left Handed Transmission Lines

Abstract

The approach of the metamaterials based on the theory of transmission lines has an influence on the development of the radiofrequency domain, so the types and techniques of elaboration of these artificial lines are quite diversified. This paper will present two models of Artificial Transmission Line CRLH (Composite Right Left Handed) composed of a combination of resonators OSRR (Open Split Ring Resonators) and OSCRR (Complementary Open Split Ring Resonators). This paper will also show how the Scattering Bond Graph (SBG) study methodology allows to provide electromagnetic simulation results (Scattering parameters, phase response) more conducive to Bond Graph (BG) modeling, and will prove the possibility of having the most perfect line (solved the problem of impedance adaptation) and better understanding of the behavior of radiofrequency systems.

Modeling and Analyses the Equivalent-Schema Models for OSRR and COSRR Coupled to Planar Transmission Lines by Scattering Bond Graph

“…From the Bond Graph model [17] , we can deduce that the model is of effort-effort causality, this structure is represented as a series branch (1-junction) by an inductance L1 (Impedance ZL1), in parallel (0-junction) by an inductance Lp and a capacitance Cp (Admittance Yeq), in series (1-junction) by an inductance L2 (Impedance ZL2). This allows us to write the following expressions (normalization makes it easy to calculate later):…”