Numerical modelling of industrial microwave heating

Vegh, Viktor (2003) Numerical modelling of industrial microwave heating. PhD by Publication, Queensland University of Technology.


The numerical modelling of electromagnetic waves has been the focus of many research areas in the past. Some specific applications of electromagnetic wave scattering are in the fields of Microwave Heating and Radar Communication Systems. The equations that govern the fundamental behaviour of electromagnetic wave propagation in waveguides and cavities are the Maxwell's equations. In the literature, a number of methods have been employed to solve these equations. Of these methods, the classical Finite-Difference Time-Domain scheme, which uses a staggered time and space discretisation, is the most well known and widely used. However, it is complicated to implement this method on an irregular computational domain using an unstructured mesh.

In this work, a coupled method is introduced for the solution of Maxwell's equations. It is proposed that the free-space component of the solution is computed in the time domain, whilst the load is resolved using the frequency dependent electric field Helmholtz equation. This methodology results in a timefrequency domain hybrid scheme. For the Helmholtz equation, boundary conditions are generated from the time dependent free-space solutions. The boundary information is mapped into the frequency domain using the Discrete Fourier Transform. The solution for the electric field components is obtained by solving a sparse-complex system of linear equations. The hybrid method has been tested for both waveguide and cavity configurations. Numerical tests performed on waveguides and cavities for inhomogeneous lossy materials highlight the accuracy and computational efficiency of the newly proposed hybrid computational electromagnetic strategy.

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10 since deposited on 22 Sep 2010
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ID Code: 37144
Item Type: QUT Thesis (PhD by Publication)
Supervisor: Turner, Ian & Zhao, Huawei
Additional Information: Presented to the Centre in Statistical Science and Industrial Mathematics, School of Mathematical Sciences, Queensland University of Technology.
Keywords: Microwave heating Mathematical models, finite-difference time-domain, Maxwell's equation, frequency domain, Helmholtz equation, discrete Fourier transform, hybrid method, thesis, doctoral
Institution: Queensland University of Technology
Copyright Owner: Copyright Viktor Vegh
Deposited On: 22 Sep 2010 13:07
Last Modified: 15 Mar 2016 02:03

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