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OPTIMIZED SIMULATION ALGORITHMS FOR FRACTAL GENERATION AND ANALYSIS

By B. Camps-Raga and N. E. Islam

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Abstract:
A set of algorithms, specifically developed to facilitate an effective modeling of fractal-boundary microstrip antennas in the analysis of such structures through numerical electromagnetic (EM) solvers is presented in this paper. A fractal generator based on the implementation of an Iterated Function System (IFS) produces the geometry specified in accordance with the user-defined input parameters. The structure is created through a solver-specific interface and is thus applicable to a commercially available EM simulation suite. The generation of specific shapes through these algorithms provides a flexible method to study different geometries without the need to modify either the interface or the solver. Three structures based on the Minkowski fractal obtained through these techniques have been studied using two EM solvers for comparison. The frequency-domain results show good agreement between the two solvers, thus validating the algorithms implemented. Complex structures with higher iterations can be studied using these algorithms.

Citation:
B. Camps-Raga and N. E. Islam, "Optimized Simulation Algorithms for Fractal Generation and Analysis," Progress In Electromagnetics Research M, Vol. 11, 225-240, 2010.
doi:10.2528/PIERM10012610

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