NDLI: P2B-15 Transient Acoustic Fields Produced by Rectangular Apertures and Linear Arrays in Viscous Media

Content Provider	IEEE Xplore Digital Library
Author	Kelly, J.F. McGough, R.J.
Copyright Year	2007
Description	Author affiliation: Michigan State Univ., East Lansing (Kelly, J.F.; McGough, R.J.)
Abstract	The lossless impulse response approach models the transient effects of finite apertures, yet frequency-dependent attenuation is neglected, resulting in incorrect estimates of pulse broadening and beam spreading. An analytical time-domain expression that incorporates both loss and diffraction is needed for calculations of transient pressures generated by rectangular pistons in attenuating media. A causal Green's function solution to the Stokes wave equation is decomposed into diffraction and loss factors, facilitating the calculation of the impulse response in lossy media obeying quadratic frequency dependence. The velocity potential produced by an impulsively excited, baffled, rectangular aperture is then solved analytically using this approach. Two separate expressions are derived: a nearfield solution, valid for all observation points, and a simplified farfield solution. The nearfield solution, based on a recently developed integral representation of the lossless impulse response for a rectangular aperture, consists of a sum of single-integrals involving the error function. The farfield solution generalizes the lossless trapezoidal solution to viscous media, yielding a closed-form solution in terms of the error function. Unlike the classical lossless impulse response, these proposed solutions are bandlimited, eliminating the need for artificially large sampling frequencies. The near and farfield impulse responses, as well as wideband pressure fields, are numerically evaluated and quantitatively compared. The proposed solutions combine the competing effects of loss and diffraction, thus providing an analytical reference for other numerical calculations. Applications to phased array ultrasonic imaging, including the calculation of point spread functions (PSF), are demonstrated. Results show that in the presence of loss, a reduction in both axial and lateral resolution in the PSF is observed.
Starting Page	1553
Ending Page	1556
File Size	281329
Page Count	4
File Format	PDF
ISBN	9781424413836
ISSN	10510117
DOI	10.1109/ULTSYM.2007.391
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-10-28
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Apertures Acoustic arrays Frequency estimation Phased arrays Attenuation Acoustic pulses Acoustic beams Time domain analysis Acoustic diffraction Transient analysis
Content Type	Text
Resource Type	Article

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