Theory and experiment of Fourier-Bessel field calculation and tuning of a pulsed wave annular array

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

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Abstract

A one-dimensional (1D) Fourier-Bessel series method for computing and tuning (beamforming) the linear lossless field of flat pulsed wave annular arrays is developed and supported with both numerical simulation and experimental verification. The technique represents a new method for modeling and tuning the propagated field by linking the quantized surface pressure profile to a known set of limited diffraction Bessel beams propagating into the medium. This enables derivation of an analytic expression for the field at any point in space and time in terms of the transducer surface pressure profile. Tuning of the field then also follows by formulating a least-squares design for the transducer surface pressure with respect to a given desired field in space and time. Simulated and experimental results for both field computation and tuning are presented in the context of a 10-ring annular array operating at a central frequency of 2.5 MHz in water.
Original languageEnglish
JournalAcoustical Society of America. Journal
Volume113
Issue number5
Pages (from-to)2412-2423
ISSN0001-4966
DOIs
Publication statusPublished - 2003

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Copyright (2003) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

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