In recent years, the joint use of bond graph approach and Scattering formalism gave us too many important results for the analysis and the understanding behavior of physical systems often operate at high frequencies. This manuscript is built around this new concept of analysis, for this reason, we propose a presentation and application of the SBG technique, on the other hand, we will give an introduction about the SRR, OSRR and CRLH metamaterials transmission line, secondly, we will give the contribution, at high frequencies, of the new technique studied by bond graph and Scattering approach for the analysis of physical characteristics. We will determine, by this new methodology, the scattering parameters of the studied structure, we perform a direct extraction of the equivalent circuit of the two shown types. Finally, the validation of this method will be performed by comparison to the previously results found by the experimental studies.