The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes

•A high-order discontinuous time-domain method is presented for computing resonant frequencies and modes.•The method incorporates the exact boundary representation of the computational domain given by a CAD model.•The results demonstrates that the rate of convergence can be affected by an inaccurate...

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Bibliographic Details
Published in:Applied Mathematical Modelling 2018-03, Vol.55, p.94-108
Main Authors: Dawson, Mark, Sevilla, Ruben, Morgan, Kenneth
Format: Article
Language:English
Subjects:
Boundary representation
Cavitation
Convergence
Discontinuous Galerkin
Dispersion
Electromagnetics
Frequencies
Galerkin method
High-order
Holes
Maxwell’s equations
Resonant modes
Signal processing
Time domain analysis
Time-domain
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Summary:•A high-order discontinuous time-domain method is presented for computing resonant frequencies and modes.•The method incorporates the exact boundary representation of the computational domain given by a CAD model.•The results demonstrates that the rate of convergence can be affected by an inaccurate geometric description.•The method is able to provide a broad band of resonant frequencies for two and three dimensional cavities. This work presents a highly accurate and efficient methodology for the computation of electromagnetic resonant frequencies and their associated modes in cavities. The proposed technique consists of a high–order discontinuous Galerkin time-domain solver combined with a signal processing algorithm for extracting the frequency content. The methodology is capable of incorporating the CAD boundary representation of the domain. The numerical results demonstrate that incorporating the exact boundary representation results in a improved convergence rate, a phenomenon that has not been previously reported. Several numerical examples in two and three dimensions show the potential of the proposed technique for cavities filled with non-dispersive or dispersive media.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2017.10.030