A hybrid approach for resolving the electromagnetic fields inside a waveguide loaded with a lossy medium

Vegh, Viktor and Turner, Ian W. (2006). A hybrid approach for resolving the electromagnetic fields inside a waveguide loaded with a lossy medium. In: Monika Willert-Porada, Advances in microwave and radio frequency processing: Report from the 8th International Conference on Microwave and High Frequency Heating. 8th International Conference on Microwave and High Frequency Heating, Bayreuth, Germany, (191-198). 3-7 September 2001.


Author Vegh, Viktor
Turner, Ian W.
Title of paper A hybrid approach for resolving the electromagnetic fields inside a waveguide loaded with a lossy medium
Conference name 8th International Conference on Microwave and High Frequency Heating
Conference location Bayreuth, Germany
Conference dates 3-7 September 2001
Proceedings title Advances in microwave and radio frequency processing: Report from the 8th International Conference on Microwave and High Frequency Heating
Journal name Advances in Microwave and Radio Frequency Processing
Place of Publication Amsterdam, Netherlands
Publisher Springer-Verlag
Publication Year 2006
Sub-type Fully published paper
DOI 10.1007/978-3-540-32944-2_21
ISBN 9783540432524
3540432523
Editor Monika Willert-Porada
Start page 191
End page 198
Total pages 8
Language eng
Formatted Abstract/Summary In this work a novel hybrid approach is presented that uses a combination of both time domain and frequency domain solution strategies to predict the power distribution within a lossy medium loaded within a waveguide. The problem of determining the electromagnetic fields evolving within the waveguide and the lossy medium is decoupled into two components, one for computing the fields in the waveguide including a coarse representation of the medium (the exterior problem) and one for a detailed resolution of the lossy medium (the interior problem).

A previously documented cell-centered Maxwell's equations numerical solver can be used to resolve the exterior problem accurately in the time domain. Thereafter the discrete Fourier transform can be applied to the computed field data around the interface of the medium to estimate the frequency domain boundary condition information that is needed for closure of the interior problem. Since only the electric fields are required to compute the power distribution generated within the lossy medium, the interior problem can be resolved efficiently using the Helmholtz equation. A consistent cell-centred finite-volume method is then used to discretise this equation oil a fine mesh and the underlying large, sparse, complex matrix system is solved for the required electric field using the iterative Krylov subspace based GM-RES iterative solver. It will be shown that the hybrid solution methodology works well when a single frequency is considered in the evaluation of the Helmholtz equation in a single mode waveguide. A restriction of the scheme is that the material needs to be sufficiently lossy, so that any penetrating waves in the material are absorbed.
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Non-UQ

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