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Numerical Calculations of Ultrasonic Echo Patterns and Implications on the Determination of the Velocity of Sound

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Calculations of ultrasonic echo patterns in the frequency and time domain are presented. The piezoelectric coupling in the transducers is treated strictly by the use of an expanded type of four-pole theory. The effects of resonant transducers, bonds and the electric circuitry are included. Typical numerical results are compared with experimental data. The implications of the theory for measurements of the velocity of sound and the determination of the elastic constants are discussed.


Es werden Berechnungen von Ultraschall-Echomustern im Frequenz- und Zeitbereich vorgestellt. Die piezoelektrische Kopplung in den Wandlern wird mit Hilfe einer erweiterten Vierpoltheorie streng behandelt unter Einschluß der Effekte von Resonanzwandlern, von Verbindungen und der elektrischen Beschaltung. Typische numerische Ergebnisse werden mit experimentellen Daten verglichen. Schließlich werden die Auswirkungen dieser Theorie auf Messungen der Schallgeschwindigkeit und die Bestimmung elastischer Konstanten diskutiert.


On présente une méthode de calcul des profils, en temps et en fréquence, des échos d'condes ultrasonores. Le couplage piézo-électrique dans les transducteurs est traité exactements, grâce à l'emploi d'une extension de la théorie des quadripôles. Les calculs présentés incluent les effets de résonance dans les transducteurs, ainsi que les jonctions et toute la circuiterie électrique. Certains résultats numériques typiques ont fait l'objet de vérifications expérimentales. Pour terminer, on discute des implications de cette théorie en ce qui concerne la métrologie de la vitesse du son et la détermination des constantes d'élasticité.
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Document Type: Research Article

Publication date: July 1, 1987

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  • 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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