Calculation of Electromagnetic Eigenmodes in Complex Structures
using Coupled S-Parameter Calculation*
Eigenmode calculations are normally
carried out by direct eigenmode solvers as in MAFIA's E-module[1]. These
solvers need an enormous amount of computer resources, especially memory
and computation time, if eigenmodes of long and complex structures with
relatively small details have to be calculated. There are natural restrictions
in constructing the mesh impact on the accuracy of the solutions. Especially
the local and global mesh ratio is limited. This will produce additional
mesh points in sections of the geometry which probably would not really
need such a mesh refinement. A further resource consuming problem is given
by the fact that the modeled volume has to be a cubus with a lot of unneeded
material and mesh points. Finally most direct eigenmode solvers need to
calculate the eigenmodes beginning with the smallest eigenfrequency. These
modes need to be stored even if they are of less interest.
This paper will present a technique based on scattering
parameters (S-parameters) that allows to split the complete geometry into
subsections which can be modeled individually. This partitioning can be
chosen in a way that geometrical properties like symmetry or repetitions
of certain sections or groups of sections can be exploited. The S-parameter
computations of each subsection are significantly smaller problems and
can be performed on different machines. Then, the eigenfrequencies of the
complete structure are determined by the combination of the scattering-parameters.
Then the corresponding field distributions are computed by time domain
or frequency domain solvers exciting waves of the appropriate frequency
and amplitude at each port of each subsection and monitoring the field
in the steady state case. This S-parameter approach gives the additional
advantage of specifying a certain frequency range for the
search of the eigenmodes which will further reduce
the computational effort.
* Work is supported by DESY
[1] MAFIA V4.0,CST GmbH,Büdinger Straße
2a,D-64289 Darmstadt,Germany
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