DefinePK

Abstract

Various fractal geometries have been successfully applied to design compact bandpass filters and miniaturized multiband antennas for different multi-services wireless applications. In this paper, a thorough investigation of the space-filling characteristics of the classical Minkowski fractal geometry has been presented. Many variants of this geometry can be derived by using generators by varying the standard one-third ratio adopted in the traditional fractal geometry. The use of multi-ratio will result in a large number of variants with fractal dimensions that are larger or smaller than 1.465 of the normal Minkowski fractal geometry. The higher the fractal dimension, the better the fractal curve fills the given area, therefore achieving higher compactness. These variants will provide the antenna and filter designer with many choices to implement his structures.