2002•IEEE Antennas and Wireless Propagation LettersRequires access

On the significance of self-similar fractal geometry in determining the multiband behavior of the Sierpinski gasket antenna

Steven R. Best

Open publisher page 69 citations

Abstract

The relationship between the Sierpinski gasket's self-similar fractal gap structure and its multiband behavior is considered. It is demonstrated that the majority of the self-similar fractal gap structure can be eliminated from the Sierpinski gasket without significantly affecting its multiband behavior. The analysis presented here demonstrates that the multiband behavior of the Sierpinski gasket is primarily a function of the periodic placement of the four gaps located along the central vertical axis of the antenna.

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What this paper is about

The relationship between the Sierpinski gasket's self-similar fractal gap structure and its multiband behavior is considered. It is demonstrated that the majority of the self-similar fractal gap structure can be eliminated from the Sierpinski gasket without significantly affecting its multiband behavior. The analysis presented here demonstrates that the multiband behavior of the Sierpinski gasket is primarily a function of the periodic placement of the four gaps located along the central vertical axis of the antenna.

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Available abstract

The relationship between the Sierpinski gasket's self-similar fractal gap structure and its multiband behavior is considered. It is demonstrated that the majority of the self-similar fractal gap structure can be eliminated from the Sierpinski gasket without significantly affecting its multiband behavior. The analysis presented here demonstrates that the multiband behavior of the Sierpinski gasket is primarily a function of the periodic placement of the four gaps located along the central vertical axis of the antenna.

Key concepts: Sierpinski triangle, Fractal, Gasket, Fractal antenna, Antenna (radio), Geometry, Mathematical analysis, Mathematics

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