Fractile arrays: a new class of tiled arrays with fractal boundaries

Werner, Douglas H.; Kuhirun, Waroth; Werner, Pingjuan L.

doi:10.1109/tap.2004.832327

Cited by 30 publications

(28 citation statements)

References 13 publications

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“…It was first introduced in [1,7]. Figure 3 shows numbering scheme and the construction of the terdragon array whose elements are distributed uniformly along a curve known as the terdragon curve for the stages of growth P = 1, 2 and 3.…”

Section: The Terdragon Fractile Arraymentioning

confidence: 99%

“…Elements are numbered from the farthest left to the farthest right and from the top to bottom. The dashed curve represents the terdragon curve at the previous stage (From [1,7]). The 6-terdragon fractile array for the stage of growth P = 5 whose elements are distributed uniformly along the 6-terdragon; each of which is represented by "x".…”

Section: The Terdragon Fractile Arraymentioning

confidence: 99%

“…The 6-terdragon fractile array for the stage of growth P = 5 whose elements are distributed uniformly along the 6-terdragon; each of which is represented by "x". Note that the numbering scheme is not shown (From [1,7]). …”

Section: The Terdragon Fractile Arraymentioning

confidence: 99%

“…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. Tilings of the plane is extensively discussed in [8].…”

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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Section: The Terdragon Fractile Arraymentioning

confidence: 99%

Section: The Terdragon Fractile Arraymentioning

confidence: 99%

Section: The Terdragon Fractile Arraymentioning

confidence: 99%

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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“…A big challenge in the design of FAs after large number of antenna elements is gaps and overlaps between the antenna elements. To avoid this problem, fractile arrays are introduced by D.H. Werner et al [14]. Dragon, flap, and twig FAs are proposed by Ahmed et al [15], to accomplish the requisites like abated side lobe ratios and wider side lobe angle for satellite communication systems.…”

Section: Introductionmentioning

confidence: 99%

Design of Multi-Beam Nonagon Fractal Array for Satellite Applications

Ponnapalli¹,

Pappu²

2017

SREYAS IJST

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Fractal array antenna design process depends on the repetitive geometric design methodology. Owing to this reason, these antennas are also named as artistic antennas. This research paper proposed a nonagon fractal array antenna designed using concentric elliptical ring sub array geometric generator for satellite and other advanced wireless based communication systems. The proposed nonagon fractal array have designed up to four iterations and for two different expansion levels. Owing to the recursive nature of fractal structures proposed are array exhibits multi-beam behaviour with fine array factor characteristics. The proposed nonagon fractal arrays are analyzed and simulated by MATLAB 15 programming.

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Comparison of the Peano–Gosper fractile array and the regular hexagonal array

Bogard¹,

Werner²,

Werner³

2004

Micro & Optical Tech Letters

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A new class of modular broadband low‐sidelobe arrays, based on the theory of fractile (fractal tile) geometry, has been recently introduced. In this paper, the radiation properties of the Peano–Gosper fractile array are compared to those of the conventional square and hexagonal arrays. It is demonstrated that the Peano–Gosper array has the same desirable grating‐lobe conditions as the hexagonal array, while achieving a much lower overall sidelobe level. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 43: 524–526, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20523

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Fractile arrays: a new class of tiled arrays with fractal boundaries

Cited by 30 publications

References 13 publications

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

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

Design of Multi-Beam Nonagon Fractal Array for Satellite Applications

Comparison of the Peano–Gosper fractile array and the regular hexagonal array

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