Simulation of wave propagation in anisotropic media

Analyzing complex structures such as electromagnetic waves requires interactive visualization techniques for better interpretation. Based on deep mathematical knowledge, model of the structure and the medium is defined with computationally expensive explicit formulas. Without using computer resources, it is difficult to make robust analyses over the model. In such cases using computers are necessary for rapid and reliable data computation and visualization. Moreover, computers are necessary for disseminating the resulting information to other researchers. To fulfill these requirements, interdisciplinary research between mathematics and computer science is needed.Considering the above requirements, in this thesis we studied the simulation of wave propagation in anisotropic media. Firstly the explicit formulas are constructed as a solution of the problem. Secondly appropriate parallel computation and visualization technique is implemented. For this purpose we used graphic card processing unit that is capable of executing hundreds of instructions in milliseconds. Using this approach makes it possible to access the computation result directly in the graphic card. By this way we eliminate the data transmission between main memory and the graphic card memory. Immediately after computation, resulting data in the graphic card?s memory is directly visualized. Finally we developed a web based prototype platform that makes it possible to share the experiment results with other scientists.