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

Vegh , Viktor & Turner, Ian (2006) A hybrid approach for resolving the electromagnetic fields inside a waveguide loaded with a lossy medium. In Advances in Microwave and Radio Frequency Processing : report from the 8th International Conference on Microwave and High-Frequency Heating held in Bayreuth, Germany, September 3-7, 2001. Springer, pp. 191-198.

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Abstract

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-centred 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 in-formation 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 on a fine mesh and the underlying large, sparse, complex matrix system is solved for the required electric field using the iterative Krylov subspace based GMRES 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.

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ID Code: 43312
Item Type: Book Chapter
Keywords: electromagnetic fields, waveguide
DOI: 10.1007/978-3-540-32944-2_21
ISBN: 9783540432524
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > OTHER MATHEMATICAL SCIENCES (019900)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2006 Springer
Copyright Statement: The original publication is available at www.springerlink.com
Deposited On: 14 Jul 2011 13:44
Last Modified: 14 Jul 2011 13:45

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