Etudes d'un modèle temporel efficace pour la simulation d'objets communicants contenant des milieux complexes

Content Provider	Semantic Scholar
Author	Ijjeh, Abdelrahman A.
Copyright Year	2014
Abstract	During this PhD project, we worked on time-domain numerical techniques in electromagnetism for analysing structures that include complex media. We used transmission-line matrix method (TLM) as a computational method to implement a general electromagnetic simulator. Then, it was validated by several comparisons with analytical solutions and measurements. To facilitate the simulations of complex geometry, we developed a graphical user interface (GUI). After that, we developed a complete theoretical analysis for numerical dispersion phenomena and stability conditions for the TLM model, when dealing with complex media. This provides the possibility to optimize the computer resources according to the required level of accuracy. The next problem we tackled was the low-frequency problem in time-domain techniques for which the time step becomes very small; as a result, the simulation time becomes exhaustive. We proposed some novel solutions by applying mapping techniques. These are based on modifying the metric tensor of the space and time frame and transforming the problem into a well-posed one. Finally, in the last part of the thesis, we performed comparison between FDTD and TD-TLM methods in simulating structures with highly contrasted media in terms of constitutive parameters. This study confirms that the TLM method has a significantly better convergence than FDTD. This is explained by the local character of the TLM algorithm. This difference in convergence was also observed for irregular (structured) meshing, when adjacent mesh size ratio increases.
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Language	English
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Content Type	Text
Resource Type	Article