Fourier-Bessel Field Calculation and Tuning of a CW Annular Array

Paul D. Fox; Jiqi Cheng; Jian-yu Lu

doi:10.1109/TUFFC.2002.1041534

Fourier-Bessel Field Calculation and Tuning of a CW Annular Array

Paul D. Fox
, Jiqi Cheng
, Jian-yu Lu

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

A 1-D Fourier-Bessel series method for computing and tuning the linear lossless field of flat continuous wave (CW) annular arrays is given and discussed with both numerical simulation and experimental verification. The technique provides a new method for modelling and manipulating the propagated field by linking the quantized surface pressure profile to a set of limited diffraction Bessel beams propagating into the medium. In the limit, these become a known set of nondiffracting Bessel beams satisfying the lossless linear wave equation, which allow us to derive a linear matrix formulation for the field in terms of the ring pressures on the transducer surface. Tuning (beamforming) of the field then follows by formulating a least squares design with respect to the transducer ring pressures. Results are presented in the context of a 10-ring annular array operating at 2.5 MHz in water.

Original language	English
Journal	I E E E Transactions on Ultrasonics, Ferroelectrics and Frequency Control
Volume	49
Pages (from-to)	1179-1190
ISSN	0885-3010
DOIs	https://doi.org/10.1109/TUFFC.2002.1041534
Publication status	Published - 2002

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Copyright: 2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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title = "Fourier-Bessel Field Calculation and Tuning of a CW Annular Array",

abstract = "A 1-D Fourier-Bessel series method for computing and tuning the linear lossless field of flat continuous wave (CW) annular arrays is given and discussed with both numerical simulation and experimental verification. The technique provides a new method for modelling and manipulating the propagated field by linking the quantized surface pressure profile to a set of limited diffraction Bessel beams propagating into the medium. In the limit, these become a known set of nondiffracting Bessel beams satisfying the lossless linear wave equation, which allow us to derive a linear matrix formulation for the field in terms of the ring pressures on the transducer surface. Tuning (beamforming) of the field then follows by formulating a least squares design with respect to the transducer ring pressures. Results are presented in the context of a 10-ring annular array operating at 2.5 MHz in water.",

author = "Fox, \{Paul D.\} and Jiqi Cheng and Jian-yu Lu",

note = "Copyright: 2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE",

year = "2002",

doi = "10.1109/TUFFC.2002.1041534",

language = "English",

volume = "49",

pages = "1179--1190",

journal = "I E E E Transactions on Ultrasonics, Ferroelectrics and Frequency Control",

issn = "0885-3010",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Fourier-Bessel Field Calculation and Tuning of a CW Annular Array

AU - Fox, Paul D.

AU - Cheng, Jiqi

AU - Lu, Jian-yu

N1 - Copyright: 2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

PY - 2002

Y1 - 2002

N2 - A 1-D Fourier-Bessel series method for computing and tuning the linear lossless field of flat continuous wave (CW) annular arrays is given and discussed with both numerical simulation and experimental verification. The technique provides a new method for modelling and manipulating the propagated field by linking the quantized surface pressure profile to a set of limited diffraction Bessel beams propagating into the medium. In the limit, these become a known set of nondiffracting Bessel beams satisfying the lossless linear wave equation, which allow us to derive a linear matrix formulation for the field in terms of the ring pressures on the transducer surface. Tuning (beamforming) of the field then follows by formulating a least squares design with respect to the transducer ring pressures. Results are presented in the context of a 10-ring annular array operating at 2.5 MHz in water.

AB - A 1-D Fourier-Bessel series method for computing and tuning the linear lossless field of flat continuous wave (CW) annular arrays is given and discussed with both numerical simulation and experimental verification. The technique provides a new method for modelling and manipulating the propagated field by linking the quantized surface pressure profile to a set of limited diffraction Bessel beams propagating into the medium. In the limit, these become a known set of nondiffracting Bessel beams satisfying the lossless linear wave equation, which allow us to derive a linear matrix formulation for the field in terms of the ring pressures on the transducer surface. Tuning (beamforming) of the field then follows by formulating a least squares design with respect to the transducer ring pressures. Results are presented in the context of a 10-ring annular array operating at 2.5 MHz in water.

U2 - 10.1109/TUFFC.2002.1041534

DO - 10.1109/TUFFC.2002.1041534

M3 - Journal article

SN - 0885-3010

VL - 49

SP - 1179

EP - 1190

JO - I E E E Transactions on Ultrasonics, Ferroelectrics and Frequency Control

JF - I E E E Transactions on Ultrasonics, Ferroelectrics and Frequency Control

ER -

Fourier-Bessel Field Calculation and Tuning of a CW Annular Array

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