Design of volumetric antenna arrays based on three-dimensional aperiodic tilings

F. Namin; Douglas Henry Werner

doi:10.1109/APS.2010.5561103

Design of volumetric antenna arrays based on three-dimensional aperiodic tilings

F. Namin, Douglas Henry Werner

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

In recent years there has been a considerable amount of research devoted to developing linear and planar antenna arrays with nonuniform element spacing. One of the inspirations for investigating such nonuniform array layouts comes from recent discoveries in solid state crystallography. For a long period it was assumed that crystals can only have periodic structures with translational symmetry. However in 1984 a new class of metallic solids were discovered which showed icosahedral symmetry [1]. While these structures were not perfectly symmetric, their X-ray diffraction patterns did display rotational symmetry. This new class of solids are known as "quasi-crystals". The particle formations in quasi-crystals are not periodic in a traditional sense, however they are deterministic and display rotational symmetry. Mathematically, these structures are classified as aperiodic tilings. In general, a tiling is a partition of space into a countable number of tiles without gaps or overlaps.

Original language	English (US)
Title of host publication	2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
DOIs	https://doi.org/10.1109/APS.2010.5561103
State	Published - Nov 22 2010
Event	2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010 - Toronto, ON, Canada Duration: Jul 11 2010 → Jul 17 2010

Other

Other	2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
Country/Territory	Canada
City	Toronto, ON
Period	7/11/10 → 7/17/10

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Hardware and Architecture

Access to Document

10.1109/APS.2010.5561103

Cite this

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title = "Design of volumetric antenna arrays based on three-dimensional aperiodic tilings",

abstract = "In recent years there has been a considerable amount of research devoted to developing linear and planar antenna arrays with nonuniform element spacing. One of the inspirations for investigating such nonuniform array layouts comes from recent discoveries in solid state crystallography. For a long period it was assumed that crystals can only have periodic structures with translational symmetry. However in 1984 a new class of metallic solids were discovered which showed icosahedral symmetry [1]. While these structures were not perfectly symmetric, their X-ray diffraction patterns did display rotational symmetry. This new class of solids are known as {"}quasi-crystals{"}. The particle formations in quasi-crystals are not periodic in a traditional sense, however they are deterministic and display rotational symmetry. Mathematically, these structures are classified as aperiodic tilings. In general, a tiling is a partition of space into a countable number of tiles without gaps or overlaps.",

author = "F. Namin and Werner, {Douglas Henry}",

year = "2010",

month = nov,

day = "22",

doi = "10.1109/APS.2010.5561103",

language = "English (US)",

isbn = "9781424449682",

booktitle = "2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010",

note = "2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010 ; Conference date: 11-07-2010 Through 17-07-2010",

}

Namin, F & Werner, DH 2010, Design of volumetric antenna arrays based on three-dimensional aperiodic tilings. in 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010., 5561103, 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010, Toronto, ON, Canada, 7/11/10. https://doi.org/10.1109/APS.2010.5561103

TY - GEN

T1 - Design of volumetric antenna arrays based on three-dimensional aperiodic tilings

AU - Namin, F.

AU - Werner, Douglas Henry

PY - 2010/11/22

Y1 - 2010/11/22

N2 - In recent years there has been a considerable amount of research devoted to developing linear and planar antenna arrays with nonuniform element spacing. One of the inspirations for investigating such nonuniform array layouts comes from recent discoveries in solid state crystallography. For a long period it was assumed that crystals can only have periodic structures with translational symmetry. However in 1984 a new class of metallic solids were discovered which showed icosahedral symmetry [1]. While these structures were not perfectly symmetric, their X-ray diffraction patterns did display rotational symmetry. This new class of solids are known as "quasi-crystals". The particle formations in quasi-crystals are not periodic in a traditional sense, however they are deterministic and display rotational symmetry. Mathematically, these structures are classified as aperiodic tilings. In general, a tiling is a partition of space into a countable number of tiles without gaps or overlaps.

AB - In recent years there has been a considerable amount of research devoted to developing linear and planar antenna arrays with nonuniform element spacing. One of the inspirations for investigating such nonuniform array layouts comes from recent discoveries in solid state crystallography. For a long period it was assumed that crystals can only have periodic structures with translational symmetry. However in 1984 a new class of metallic solids were discovered which showed icosahedral symmetry [1]. While these structures were not perfectly symmetric, their X-ray diffraction patterns did display rotational symmetry. This new class of solids are known as "quasi-crystals". The particle formations in quasi-crystals are not periodic in a traditional sense, however they are deterministic and display rotational symmetry. Mathematically, these structures are classified as aperiodic tilings. In general, a tiling is a partition of space into a countable number of tiles without gaps or overlaps.

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U2 - 10.1109/APS.2010.5561103

DO - 10.1109/APS.2010.5561103

M3 - Conference contribution

AN - SCOPUS:78349246358

SN - 9781424449682

BT - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010

T2 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010

Y2 - 11 July 2010 through 17 July 2010

ER -

Design of volumetric antenna arrays based on three-dimensional aperiodic tilings

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