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Theoretical Study and Experiments on Spherical Focusing Transducers with Gaussian Surface Velocity Distribution

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The acoustic field radiated by a weak focusing spherical transducer with Gaussian velocity distribution on its surface is investigated both theoretically and experimentally.

Expressions are given for acoustic pressure distribution across the beam width, in the focal plane normal to the transducer axis, and also for acoustic pressure, particle velocity and acoustic impedance along the beam axis. In the radiated beam there appear none of the maxima and minima of the acoustic pressure which are typical for the case of the uniform velocity distribution on the transducer surface. There exists only one maximum in the focal region. The phase angle changes uniformly across the beam width.

As the focal length of the spherical transducer tends to infinity, the given expressions turn into formulae which are valid for the plane Gaussian transducer.

Results of experiments performed with two transducers of 7 MHz resonance frequency and 6.5 cm focal length, having Gaussian and uniform velocity distribution, are in qualitative agreement with the given theory.
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Document Type: Research Article

Publication date: February 1, 1973

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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