Time domain finite element analysis of multimode microwave applicators

Dibben, D.C.; Metaxas, Ricky

doi:10.1109/20.497397

Cited by 47 publications

(19 citation statements)

References 6 publications

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“…III) f (x) is three times differentiable and f The system (1) appears frequently in the study of microwave heating processes, where the variations of the dielectric properties of the material with temperature, density, moisture content and other parameters make the system non-autonomous, see [10,13] for more details. Systems of type (1) can also be found on models for the study of electromagnetic processing of homogeneous materials at high power densities or analysis of multi mode microwave applicators, see [8,17] Under conditions I)-IV), the problem (1)- (2) has, at most, a twice continuously differentiable solution [16,Section 2]. We look for a numerical solution, and to this purpose we first consider separation of variables.…”

Section: Introductionmentioning

confidence: 99%

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems

Ponsoda¹,

Blanes²

2014

Applied Mathematics and Computation

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In this paper, a numerical algorithm that approximates suitably the solution of certain non-autonomous partial differential systems of equations is constructed. Firstly, conditions to be satisfied for the data of the problem to ensure the existence of a unique solution is established and, after using a matrix separation of variables technique, an exact series solution is constructed. Each term in the series solution must solve a linear system of non-autonomous differential equations with oscillatory solutions. In order to approximate numerically the formal series solution, schemes based on the Magnus expansions are considered, and we show that commutator-free Magnus integrators are of great interest for solving this problem. We show that this family of methods admit a recursive relation which provides numerical approximations for all terms in the series solution. This iterative recursion has similar error growth as the exact solution, and this ensures the convergence of the numerical solution. These exponential integrators usually often provide good results, generally better than other standard numerical methods, both from the standpoint of preserving qualitative properties of the problem and the computational cost. Finally, numerical experiments are considered in order to test the behavior of the constructed algorithm.

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Section: Introductionmentioning

confidence: 99%

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems

Ponsoda¹,

Blanes²

2014

Applied Mathematics and Computation

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“…Many computational methodologies have been developed to solve Maxwell's Equations for a variety of important applications in Science and Engineering [1,2,3,4]. Although microwaves are frequently used for heating purposes, in this paper only microwave pulses are analysed for the purpose of radar and signal processing.…”

Section: Introductionmentioning

confidence: 99%

Comparison of time domain numerical solvers for the propagation of a Gaussian pulse inside a rectangular waveguide

Vegh¹,

Turner²

2003

ANZIAMJ

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We analyse techniques for increasing the accuracy and efficiency of a finite-volume time-domain (fv-td) cell-centred computational methodology. Various state-of-the-art spatial and temporal discretisation methods employed to solve Maxwell equations on multi-dimensional structured grid networks are investigated and the dispersive and dissipative errors inherent in those techniques examined. Both staggered and unstaggered grid approaches are considered. Staggered and unstaggered Leapfrog and Runge-Kutta time integration methods are analysed by the use of Gaussian microwave

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“…A considerable number of studies have been presented on finding the parameter S 11 in an inhomogenously loaded microwave resonator. In the studies carried out, amplitudes of the reflection coefficient related to the frequency have been obtained for the structures examined [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Microwave Cavity Loaded With Lossy Dielectric Slab by Means of Mode Matching Method and Optimization of Load Location

Süle

Kent²

2010

PIER M

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Abstract-An analysis is presented by means of a mode matching method for two microwave cavities of different sizes which are fed by a TE 10 waveguide and loaded with lossy dielectric slab type material. The accuracy of the results obtained is presented together with a comparison of the results which are obtained by the HFSS numerical method. Optimization of the load location was performed in order to maximize the electrical field on the material. The principle of this optimization is based on finding the existence of the positions in which the reflection coefficient S 11 is the lowest. When the feeding guide for the two different microwave cavities was at the centre of the resonator, the change in the reflection coefficient distribution was detected according to the different positions of the material in the oven, and then the lowest positions were found. The changes in the electric field in the detected positions were recorded.

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Time domain finite element analysis of multimode microwave applicators

Cited by 47 publications

References 6 publications

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems

Comparison of time domain numerical solvers for the propagation of a Gaussian pulse inside a rectangular waveguide

Analysis of Microwave Cavity Loaded With Lossy Dielectric Slab by Means of Mode Matching Method and Optimization of Load Location

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