Theory of Constant Directivity Circular-Arc Line Arrays

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R. Taylor, D.. (D. Keele, "Theory of Constant Directivity Circular-Arc Line Arrays," Paper 9836, (2017 October.). doi:
R. Taylor, D.. (D. Keele, "Theory of Constant Directivity Circular-Arc Line Arrays," Paper 9836, (2017 October.). doi:
Abstract: We develop the theory for a broadband constant-beamwidth transducer (CBT) formed by a continuous circular-arc isophase line source. Appropriate amplitude shading of the source distribution leads to a far-field radiation pattern that is constant above a cutoff frequency determined by the prescribed beam width and arc radius. We derive two shading functions, with cosine and Chebyshev polynomial forms, optimized to minimize this cutoff frequency and thereby extend constant-beamwidth behavior over the widest possible band. We illustrate the theory with simulations of magnitude responses, full-sphere radiation patterns and directivity index, for example designs with both wide- and narrow-beam radiation patterns.

@article{taylor2017theory,
author={taylor, richard and keele, jr., d. b. (don)},
journal={journal of the audio engineering society},
title={theory of constant directivity circular-arc line arrays},
year={2017},
volume={},
number={},
pages={},
doi={},
month={october},}
@article{taylor2017theory,
author={taylor, richard and keele, jr., d. b. (don)},
journal={journal of the audio engineering society},
title={theory of constant directivity circular-arc line arrays},
year={2017},
volume={},
number={},
pages={},
doi={},
month={october},
abstract={we develop the theory for a broadband constant-beamwidth transducer (cbt) formed by a continuous circular-arc isophase line source. appropriate amplitude shading of the source distribution leads to a far-field radiation pattern that is constant above a cutoff frequency determined by the prescribed beam width and arc radius. we derive two shading functions, with cosine and chebyshev polynomial forms, optimized to minimize this cutoff frequency and thereby extend constant-beamwidth behavior over the widest possible band. we illustrate the theory with simulations of magnitude responses, full-sphere radiation patterns and directivity index, for example designs with both wide- and narrow-beam radiation patterns.},}

TY - paper
TI - Theory of Constant Directivity Circular-Arc Line Arrays
SP -
EP -
AU - Taylor, Richard
AU - Keele, Jr., D. B. (Don)
PY - 2017
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2017
TY - paper
TI - Theory of Constant Directivity Circular-Arc Line Arrays
SP -
EP -
AU - Taylor, Richard
AU - Keele, Jr., D. B. (Don)
PY - 2017
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2017
AB - We develop the theory for a broadband constant-beamwidth transducer (CBT) formed by a continuous circular-arc isophase line source. Appropriate amplitude shading of the source distribution leads to a far-field radiation pattern that is constant above a cutoff frequency determined by the prescribed beam width and arc radius. We derive two shading functions, with cosine and Chebyshev polynomial forms, optimized to minimize this cutoff frequency and thereby extend constant-beamwidth behavior over the widest possible band. We illustrate the theory with simulations of magnitude responses, full-sphere radiation patterns and directivity index, for example designs with both wide- and narrow-beam radiation patterns.

We develop the theory for a broadband constant-beamwidth transducer (CBT) formed by a continuous circular-arc isophase line source. Appropriate amplitude shading of the source distribution leads to a far-field radiation pattern that is constant above a cutoff frequency determined by the prescribed beam width and arc radius. We derive two shading functions, with cosine and Chebyshev polynomial forms, optimized to minimize this cutoff frequency and thereby extend constant-beamwidth behavior over the widest possible band. We illustrate the theory with simulations of magnitude responses, full-sphere radiation patterns and directivity index, for example designs with both wide- and narrow-beam radiation patterns.

Authors:
Taylor, Richard; Keele, Jr., D. B. (Don)
Affiliations:
Thompson Rivers University, Kamloops, BC, Canada; DBK Associates and Labs, Bloomington, IN, USA(See document for exact affiliation information.)
AES Convention:
143 (October 2017)
Paper Number:
9836
Publication Date:
October 8, 2017Import into BibTeX
Subject:
Transducersâ€”Part 3
Permalink:
http://www.aes.org/e-lib/browse.cfm?elib=19233