Fractile arrays: A new class of broadband tiled arrays with fractal boundaries

Research output: Contribution to journalConference article

Abstract

In this paper a new class of antenna arrays are introduced, which we call fractile arrays. A fractile array is defined as any array with a fractal boundary contour that tiles the plane without gaps or overlaps. It will be shown that the unique geometrical features of fractiles may be exploited in order to make available a family of deterministic arrays that offer several highly desirable performance advantages over their conventional periodic planar array counterparts. Most notably, fractile arrays have no grating lobes even when the minimum spacing between elements is increased to at least one-wavelength. This has led to the development of a new design methodology for modular broadband arrays that is based on fractal tilings, Several examples of fractile arrays will be considered including Peano-Gosper, terdragon, six-terdragon, and fudgeflake arrays. Efficient iterative procedures for calculating the radiation patterns of these fractile arrays to arbitrary stage of growth P are also introduced in this paper.

Original languageEnglish (US)
Pages (from-to)563-566
Number of pages4
JournalIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume1
StatePublished - Sep 29 2004
EventIEEE Antennas and Propagation Society Symposium 2004 Digest held in Conjunction with: USNC/URSI National Radio Science Meeting - Monterey, CA, United States
Duration: Jun 20 2004Jun 25 2004

Fingerprint

Fractals
Tile
Antenna arrays
Wavelength

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

@article{2f1c108f6e614a78b13079a28d4c5912,
title = "Fractile arrays: A new class of broadband tiled arrays with fractal boundaries",
abstract = "In this paper a new class of antenna arrays are introduced, which we call fractile arrays. A fractile array is defined as any array with a fractal boundary contour that tiles the plane without gaps or overlaps. It will be shown that the unique geometrical features of fractiles may be exploited in order to make available a family of deterministic arrays that offer several highly desirable performance advantages over their conventional periodic planar array counterparts. Most notably, fractile arrays have no grating lobes even when the minimum spacing between elements is increased to at least one-wavelength. This has led to the development of a new design methodology for modular broadband arrays that is based on fractal tilings, Several examples of fractile arrays will be considered including Peano-Gosper, terdragon, six-terdragon, and fudgeflake arrays. Efficient iterative procedures for calculating the radiation patterns of these fractile arrays to arbitrary stage of growth P are also introduced in this paper.",
author = "Werner, {D. H.} and W. Kuhirun and Werner, {P. L.}",
year = "2004",
month = "9",
day = "29",
language = "English (US)",
volume = "1",
pages = "563--566",
journal = "AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)",
issn = "0272-4693",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Fractile arrays

T2 - A new class of broadband tiled arrays with fractal boundaries

AU - Werner, D. H.

AU - Kuhirun, W.

AU - Werner, P. L.

PY - 2004/9/29

Y1 - 2004/9/29

N2 - In this paper a new class of antenna arrays are introduced, which we call fractile arrays. A fractile array is defined as any array with a fractal boundary contour that tiles the plane without gaps or overlaps. It will be shown that the unique geometrical features of fractiles may be exploited in order to make available a family of deterministic arrays that offer several highly desirable performance advantages over their conventional periodic planar array counterparts. Most notably, fractile arrays have no grating lobes even when the minimum spacing between elements is increased to at least one-wavelength. This has led to the development of a new design methodology for modular broadband arrays that is based on fractal tilings, Several examples of fractile arrays will be considered including Peano-Gosper, terdragon, six-terdragon, and fudgeflake arrays. Efficient iterative procedures for calculating the radiation patterns of these fractile arrays to arbitrary stage of growth P are also introduced in this paper.

AB - In this paper a new class of antenna arrays are introduced, which we call fractile arrays. A fractile array is defined as any array with a fractal boundary contour that tiles the plane without gaps or overlaps. It will be shown that the unique geometrical features of fractiles may be exploited in order to make available a family of deterministic arrays that offer several highly desirable performance advantages over their conventional periodic planar array counterparts. Most notably, fractile arrays have no grating lobes even when the minimum spacing between elements is increased to at least one-wavelength. This has led to the development of a new design methodology for modular broadband arrays that is based on fractal tilings, Several examples of fractile arrays will be considered including Peano-Gosper, terdragon, six-terdragon, and fudgeflake arrays. Efficient iterative procedures for calculating the radiation patterns of these fractile arrays to arbitrary stage of growth P are also introduced in this paper.

UR - http://www.scopus.com/inward/record.url?scp=4544261198&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4544261198&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:4544261198

VL - 1

SP - 563

EP - 566

JO - AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)

JF - AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society)

SN - 0272-4693

ER -