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SIMPLE PROCEDURE FOR EVALUATING THE IMPEDANCE MATRIX OF FRACTAL AND FRACTILE ARRAYS

By W. Kuhirun

Full Article PDF (419 KB)

Abstract:
A fractal array is an antenna array which holds a property called "self-similarity". This means that parts of the whole structure are similar to the whole. A recursive procedure for evaluating the impedance matrix is allowed primarily by exploiting the self-similarity. However, numerous fractal arrays are extremely complicated in structure. Therefore, for these arrays, it is extremely elaborate to formulate explicitly a recursive relation. This paper proposes a simple procedure for evaluating, without formulating explicitly a recursive relation, the impedance matrix of fractal and fractile arrays; a fractile array is any array with a fractal boundary contour that tiles the plane without gaps or overlaps.

Citation:
W. Kuhirun, "Simple Procedure for Evaluating the Impedance Matrix of Fractal and Fractile Arrays," Progress In Electromagnetics Research M, Vol. 14, 61-70, 2010.
doi:10.2528/PIERM10071405

References:
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7. Werner, D. H., W. Kuhirun, and P. L. Werner, "Fractile arrays: A new class of tiled arrays with fractal boundaries," IEEE Trans. Antennas Propagat., Vol. 52, No. 8, 2008-2018, 2004.

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