Modeling and Implementation of Perfect Electric Conductor Interfaces on Three-Dimensional Lebedev Grid in Presence of Anisotropy
Date
2021-04-09
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Abstract
Simulation is an integral part of the design procedure for almost every electromagnetic problem. Finite-difference time-domain (FDTD) method has proved to be useful in solving a variety of these problems over the last 50 years. However, most of the body of research is limited to materials that are either isotropic or have diagonal constitutive parameters (diagonal anisotropy). There is another class of materials called anisotropic media that provide unique and useful electromagnetic properties at microwave frequencies. Standard FDTD method lacks efficiency in modeling anisotropic materials due to tensor constitutive relations. The Lebedev grid as an alternative method was previously studied and developed by researchers for the simulation of anisotropy by representing the constitutive relations more efficiently in anisotropic materials. However, previous works on implementation of perfect electric conductor boundaries in the presence of anisotropy are either inaccurate or incomplete. In this thesis, FDTD is discretized on Lebedev grid using central differences. Then, an accurate method based on integral forms of Maxwell’s equations is proposed to implement perfect electric boundaries on this grid. The accuracy and stability of the method is put to the test by simulating several electromagnetic problems and comparing the results with analytical and HFSS simulation data. Excellent agreement between proposed method and HFSS results is obtained for a variety of three-dimensional anisotropic cavity resonators.
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Bordbar, F. (2021). Modeling and Implementation of Perfect Electric Conductor Interfaces on Three-Dimensional Lebedev Grid in Presence of Anisotropy (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.