Fast Adaptive Frequency Sweep for the Calculation of Scattering Parameters in the Frequency Domain

Master thesis, Seminar paper, Bachelor thesis

1. Context

The Finite element method (FEM) in the frequency domain is oneof the most powerful methods for the solution of high frequencyelectromagnetic field problems for resonators, filters, attenuators,etc. In many practical applications, however, the frequencyresponse of the system over a broad frequency band is required.Fast Frequency Sweeping (FFS) is a class of methods used for the estimation of broadband S-parameters based on evaluation of aminimum amount of frequency points. Modern FFS methodsinclude Reduced Basis Methods, Thiele based interpolation,Asymptotic Waveform Evaluation and Vector Fitting. Each of thesemethods have advantages and disadvantages depending on thespecific characteristics of the frequency response of the system.2. TaskIn this work, a novel FSS approach based on the Adaptive RationalBarycentric Representation will be developed and its performancewill be compared with existing reduced basis methods. Allmethods will be implemented in an existing FEM simulationframework in the frequency domain and it will be furthervalidated for practical applications.3. PrerequisitesStrong background in Maxwell’s equations, basis knowledge ofFEM, some experience with programming in C/C++, interest inelectromagnetic field simulation.

2. Task

In this work, a novel FSS approach based on the Adaptive Rational Barycentric Representation will be developed and its performance will be compared with existing reduced basis methods. All methods will be implemented in an existing FEM simulation framework in the frequency domain and it will be further validated for practical applications.

3. Prerequisites

Strong background in Maxwell’s equations, basis knowledge of FEM, some experience with programming in C/C++, interest in electromagnetic field simulation.