A simple procedure for evaluating the impedance matrix of the Peano-Gosper fractal array

Kuhirun, Waroth

doi:10.1109/apmc.2008.4958327

Cited by 1 publication

(2 citation statements)

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“…The evidence is that Kuhirun [5] attempted to develop a recursive procedure for evaluating the impedance matrix of the Peano-Gosper fractal array but fail to fully formulate a recursive relation. Therefore, Kuhirun [6] developed a simple procedure for evaluating the impedance matrix of the PeanoGosper fractal array. Extended from [6], this paper presents a simple procedure for evaluating the impedance matrix of fractal and fractile arrays, a further development of the recursive procedure for the impedance matrix investigated by Werner et al [4] and Kuhirun [5].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, Kuhirun [6] developed a simple procedure for evaluating the impedance matrix of the PeanoGosper fractal array. Extended from [6], this paper presents a simple procedure for evaluating the impedance matrix of fractal and fractile arrays, a further development of the recursive procedure for the impedance matrix investigated by Werner et al [4] and Kuhirun [5]. The simple procedure enables us to evaluate the impedance matrix without formulating an explicit recursive relation for the impedance matrix of fractal and fractile arrays; fractile arrays are defined in [7] to be any array which has a fractal boundary contour that tiles the plane without gaps and overlaps.…”

Section: Introductionmentioning

confidence: 99%

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Simple Procedure for Evaluating the Impedance Matrix of Fractal and Fractile Arrays

Kuhirun¹

2010

PIER M

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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.

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