2009
DOI: 10.2528/pier09082505
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On the Use of Dimension and Lacunarity for Comparing the Resonant Behavior of Convoluted Wire Antennas

Abstract: Abstract-This paper analyzes the possibility to use dimension and lacunarity for comparing the resonant behavior of different convoluted wire antennas, including prefractal dipoles. Since previous studies have proved that the Hausdorff fractal dimension is not suitable for antenna comparison purposes, this work proposes the adoption of a different approach for evaluating the dimension by using the measurement at scale δ, which is more suitable for analyzing real phenomena. The results provided by this measure … Show more

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Cited by 16 publications
(11 citation statements)
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“…Nowadays, various forms of these fractal structures are used in microstrip antennas and filters [16][17][18]. Bow-tie dipole and monopole antenna with Koch shape fractal has been designed for multi-band and miniaturization [19][20][21]. In addition, Fractal-Shaped Patch-Slot configuration used in miniaturized reflect-array unit cell and Minkowski fractal are compared for different steps [22].…”
Section: Introductionmentioning
confidence: 99%
“…Nowadays, various forms of these fractal structures are used in microstrip antennas and filters [16][17][18]. Bow-tie dipole and monopole antenna with Koch shape fractal has been designed for multi-band and miniaturization [19][20][21]. In addition, Fractal-Shaped Patch-Slot configuration used in miniaturized reflect-array unit cell and Minkowski fractal are compared for different steps [22].…”
Section: Introductionmentioning
confidence: 99%
“…Then gliding box algorithm is used to calculate the lacunarity of each geometry, including Von Koch. To obviate the effect of box size, the box size weighted average is calculated as suggested in [25,26] and plotted in Fig. 6.…”
Section: Results and Analysismentioning
confidence: 99%
“…Then the results are discussed from the point of view of miniaturization and the expressions are developed to predict maximum miniaturization possible and the resonant frequency achieved with various iterations. The proposed fractals are also analysed by computing their lacunarity dimensions [25,26]. This gives comprehensive information about the proposed fractal geometry.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, the design of miniaturized fractal antennas capable of providing multiple resonant frequencies has received much attention due to ease of installation on vehicles and aerodynamic compatibility [5]. Several research papers have proposed novel antenna design techniques based on fractal geometry [6][7][8], showing how proper selection of fractal geometry can help reduce the overall antenna size and, simultaneously, ensure multi-band operation. Fractals are set of geometrical structures featuring two main properties -self-similarity and space filling [9].…”
Section: Introductionmentioning
confidence: 99%