Coplanar Waveguide

Model Description

A coplanar waveguide is a microwave semiconductor device, which is governed by maxwell's equations. The coplanar waveguide considered with dielectric overlay, i.e. a transmission line shielded within two layers of multilayer board with 0.5mm thickness are buried in a substrate with 10mm thickness and relative permittivity $ϵ_{r} = 4.4$ and relative permeability $μ_{r} = 1$ , and low conductivity $σ = 0.02 S / m$ . The low-loss upper layer has low permittivity $ϵ_{r} = 1.07$ and $σ = 0.01 S / m$ . The whole structure is enlosed in a metallic box of dimension 140mm by 100mm by 50mm. The discrete port with 50ohm lumped load imposes 1 A current as the input to the one side of the strip. The voltage along the discrete port 2 at the end of the other side of coupled lines is integrated as the output.

Matrices and Data

Considered parameters are the frequency $ω$ and the width $ν$ of the middle stripline.

The affine form $a (u, v; ω, ν) = \sum_{q = 1}^{Q} Θ^{q} (ω, ν) a^{q} (u, v)$ can be established using $Q = 15$ affine terms.

References

The models have been developed within the MoreSim4Nano project.

[1] www.moresim4nano.org

[2] M. W. Hess, P. Benner, Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method, MPI preprint http://www.mpi-magdeburg.mpg.de/preprints/2012/MPIMD12-17.pdf