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

Kuhirun, Waroth

doi:10.2528/pierm10071405

Cited by 3 publications

(3 citation statements)

References 11 publications

(17 reference statements)

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“…In [2] and several papers mentioned among its references, W. Kuhirun, D.H. Werner and P.L. Werner prove that an antenna with the shape of a Peano-Gosper curve has particular electromagnetic properties.…”

Section: Peano-gosper Curvesmentioning

confidence: 99%

Paperfolding sequences, paperfolding curves and local isomorphism

Oger¹

2012

Hiroshima Math. J.

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For each integer n, an n-folding curve is obtained by folding n times a strip of paper in two, possibly up or down, and unfolding it with right angles. Generalizing the usual notion of infinite folding curve, we define complete folding curves as the curves without endpoint which are unions of increasing sequences of n-folding curves for n integer.We prove that there exists a standard way to extend any complete folding curve into a covering of R 2 by disjoint such curves, which satisfies the local isomorphism property introduced to investigate aperiodic tiling systems. This covering contains at most six curves.2000 Mathematics Subject Classification. Primary 05B45; Secondary 52C20, 52C23.

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Section: Peano-gosper Curvesmentioning

confidence: 99%

Paperfolding sequences, paperfolding curves and local isomorphism

Oger¹

2012

Hiroshima Math. J.

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“…At low frequency, the antenna which is of a basic geometry shape (such as dipole and rectangular patch antenna) tends to be large and the antenna often operates at a specific band. For this reason, researchers have been trying to design several antennas by modifying their shape with various methods [1][2][3][4][5][6][7]. For example, D.H. Werner modified the antenna shape with the fractal geometry in order to develop the antenna for multi-band application [8].…”

Section: Introductionmentioning

confidence: 99%

A new technique to design planar dipole antennas by using Bezier curve and Particle Swarm Optimization

Homsup

Silabut

Kesornpatumanum

et al. 2016

Archives of Electrical Engineering

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This research presents a new technique which includes the principle of a Bezier curve and Particle Swarm Optimization (PSO) together, in order to design the planar dipole antenna for the two different targets. This technique can improve the characteristics of the antennas by modifying copper textures on the antennas with a Bezier curve. However, the time to process an algorithm will be increased due to the expansion of the solution space in optimization process. So as to solve this problem, the suitable initial parameters need to be set. Therefore this research initialized parameters with reference antenna parameters (a reference antenna operates on 2.4 GHz for IEEE 802.11 b/g/n WLAN standards) which resulted in the proposed designs, rapidly converted into the goals. The goal of the first design is to reduce the size of the antenna. As a result, the first antenna is reduced in the substrate size from areas of 5850 mm 2 to 2987 mm 2 (48.93% approximately) and can also operates at 2.4 GHz (2.37 GHz to 2.51 GHz). The antenna with dual band application is presented in the second design. The second antenna is operated at 2.4 GHz (2.40 GHz to 2.49 GHz) and 5 GHz (5.10 GHz to 5.45 GHz) for IEEE 802.11 a/b/g/n WLAN standards.

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“…In [1] and several papers mentioned among its references, W. Kuhirun, D.H. Werner and P.L. Werner prove that an antenna with the shape of a Peano-Gosper curve has particular electromagnetic properties.…”

mentioning

confidence: 99%

Peano-Gosper curves and the local isomorphism property

Oger

2017

Preprint

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We consider unbounded curves without endpoints. Isomorphism is equivalence up to translation. Self-avoiding plane-filling curves cannot be periodic, but they can satisfy the local isomorphism property: We obtain a set Ω of coverings of the plane by sets of disjoint self-avoiding nonoriented curves, generalizing the Peano-Gosper curves, such that: 1) each C ∈ Ω satisfies the local isomorphism property; any set of curves locally isomorphic to C belongs to Ω; 2) Ω is the union of 2 ω equivalence classes for the relation "C locally isomorphic to D"; each of them contains 2 ω (resp. 2 ω , 4, 0) isomorphism classes of coverings by 1 (resp. 2, 3, ≥ 4) curves. Each C ∈ Ω gives exactly 2 coverings by sets of oriented curves which satisfy the local isomorphism property. They have opposite orientations.

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

Cited by 3 publications

References 11 publications

Paperfolding sequences, paperfolding curves and local isomorphism

Paperfolding sequences, paperfolding curves and local isomorphism

A new technique to design planar dipole antennas by using Bezier curve and Particle Swarm Optimization

Peano-Gosper curves and the local isomorphism property

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