The effectiveness of space-filling fractal geometry in lowering resonant frequency

Best, Steven; Morrow, Jarrett

doi:10.1109/lawp.2002.806050

Cited by 91 publications

(47 citation statements)

References 5 publications

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“…[12,13]. Most of them apply to mathematical foundations, as well as researches in the field of fractal antennas and/or EM wave reflection analysis of fractal surface.…”

Section: Why Use the Antenna Of Fractal Geometry?mentioning

confidence: 99%

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Fractals in Antennas and Metamaterials Applications

Krzysztofik¹

2017

Fractal Analysis - Applications in Physics, Engineering and Technology

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Recently, telecommunication systems have been requiring more advanced features in the design and operation. Among others a smaller size of devices, which can be integrated for multiple mobile communication systems, applied in one user'sd e v i c e board, such as PDA or smart phone. Moreover, the cost of mass production should be minimized as much as possible. To meet part of that request, the antennas of these devices should have small size, lower weight, operating in multiple frequency bands and/or be broadband. There are many research methods to achieve this goal, one of which is using the fractal geometries for the shape of antenna elements. In recent years, there are many fractal shapes that have been proposed for such applications, and the designed antennas have significantly improved antenna features such as smaller size, operating in multi-frequency bands, with improved power gain and efficiency. In recent years, the new approach for modern antenna the metamaterials, MTM, is adopted, and sometimes that based on the fractal geometry is adopted.

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“…[12,13]. Most of them apply to mathematical foundations, as well as researches in the field of fractal antennas and/or EM wave reflection analysis of fractal surface.…”

Section: Why Use the Antenna Of Fractal Geometry?mentioning

confidence: 99%

“…In the year 1890, Peano first proposed the self-filling curve, now called the Peano curve [12]. In 1891, David Hilbert introduced its version of the same-filling curve [4].…”

Section: Fractal Self-space-filling Curve High-impedance Ground Planesmentioning

confidence: 99%

Fractals in Antennas and Metamaterials Applications

Krzysztofik¹

2017

Fractal Analysis - Applications in Physics, Engineering and Technology

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“…is operator of Riemann-Liouville which is determined by the following integral relationship ( ) 0 1 α < < [12]. It is direct continuation of Cauchy multiple integral for arbitrary complex α with…”

Section: Formulationmentioning

confidence: 99%

Multiband Monopole Antenna with Sector-Nested Fractal

Zhang¹,

Zhang²

2015

WET

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A kind of novel multi-frequency monopole antenna with sector-nested fractal is proposed and designed, which is nested with a series of similar circular sector elements. By means of the trapeziform ground plane with the tapered CPW (coplanar waveguide) feeder in the middle, the antenna's radiation performance is greatly improved. The antennas can synchronously operate in three frequencies, covering the working frequency bands of WLAN/WiMAX, 2.44 GHz/3.5 GHz/5.2 GHz -5.8 GHz. The pattern and impedance measurements of antenna show a good performance over the WLAN/WiMAX band; it possesses a near omni-directional characteristic and good radiation efficiency. Moreover, the antenna is miniature and its design idea can be easily applied into other types of nested structure, the features of which make the proposed antenna have a promising application in other fields.

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“…Lately significant efforts have been made to study and optimize antennas based on the Hilbert type curve [7]- [9]. The usefulness of a Hilbert wire antenna in order to lower the antenna resonant frequency has been studied in [7].…”

mentioning

confidence: 99%

“…The usefulness of a Hilbert wire antenna in order to lower the antenna resonant frequency has been studied in [7]. In [8] a parametric study was conducted on a matched Hilbert antenna to understand its bandwidth and cross-polarization level.…”

mentioning

confidence: 99%

A miniaturized Hilbert PIFA for dual-band mobile wireless applications

Azad

Ali

2005

Antennas Wirel. Propag. Lett.

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Abstract-A miniaturized planar inverted-F antenna (PIFA) is proposed for dual-band mobile phone application in the 900-and 1900-MHz bands. By employing a Hilbert geometry, an overall size reduction of 50% was achieved compared to a conventional rectangular PIFA. The proposed antenna can be easily printed on the inside surface of the plastic housing of a mobile phone or other wireless device. An experimental prototype of this miniature antenna was fabricated on 0.125 mm thick Duroid 5880 substrate. Measured results demonstrate dual-band characteristics with good radiation patterns.

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The effectiveness of space-filling fractal geometry in lowering resonant frequency

Cited by 91 publications

References 5 publications

Fractals in Antennas and Metamaterials Applications

Fractals in Antennas and Metamaterials Applications

Multiband Monopole Antenna with Sector-Nested Fractal

A miniaturized Hilbert PIFA for dual-band mobile wireless applications

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