The present chapter elaborates an innovative Kron-Branin's model of WG S-parameters. The graph topology is drawn from the equivalent electrical 1D circuit of the wave guide. The branch and mesh space analyses are introduced to determine the main unknowns of the problem represented by the contravariant mesh currents. Then, the mesh impedance reduction method is originally developed. Then, the rigorous tensorial equations enabling one to rapidly calculate the S-parameters are presented. Application examples are explored to validate the fast S-parameters modelling.

Chapter Contents:

• Abstract
• 5.1 Introduction to Chapter 5
• 5.2 Problem formulation
• 5.2.1 Structural description
• 5.2.2 Representation of S-matrix black box
• 5.3 KB theorization of RWG matrix
• 5.3.1 Recall on RWG and TL theory
• 5.3.1.1 RWG characterization
• 5.3.1.2 TL equivalent circuit of the RWG structure
• 5.3.1.3 TL equivalent circuit of RWG with the first propagative mode
• 5.3.1.4 TL equivalent circuit of RWG under the evanescent mode
• 5.3.2 KB modelling of RWG
• 5.3.2.1 TL equivalent circuit
• 5.3.2.2 KB graph topology equivalent to the RWG
• 5.3.2.3 S-matrix analytical expression of the RWG
• 5.4 Validation results with parametric analyses
• 5.4.1 Description of RWG POC
• 5.4.1.1 RWG POC description
• 5.4.1.2 Equivalent TL parameters
• 5.4.1.3 Routine algorithm of the RWG KB modelling
• 5.4.2 Discussion on RWG simulation results
• 5.4.2.1 S-parameter parametric analyses versus position z
• 5.4.2.2 Comparisons between S-parameter KB-computed and ADS-simulated results
• 5.5 Conclusion
• References

Inspec keywords: equivalent circuits; tensors; rectangular waveguides; electric impedance; electric fields; graph theory; conductors (electric); numerical analysis

Other keywords: contravariant mesh currents; mesh impedance reduction method; rectangular wave guide structure; equivalent electrical 1D circuit; Fast S-parameter Kron-Branin's modelling; graph topology; WG S-parameters; innovative Kron-Branin's model; RWG; mesh space analyses

Subjects: Algebra, set theory, and graph theory; Function theory, analysis; Combinatorial mathematics; Combinatorial mathematics; Combinatorial mathematics; Numerical approximation and analysis