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Time-Dependent Average Pressure on the Receiver in a Circular Transducer System

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The numerical method is considered for the calculation of acoustical transient processes in a system of circular coaxial transducers with the radiator and the receiver of arbitrary dimensions. The analysis of the relevant model problem for this system is based on the solution of the wave equation in the time-domain. Exact analytical expressions are obtained both for an impulse response of average potential and of average pressure on the receiver surface. The results of calculation of the output signal waveform on the receiver are presented and analysed for the various forms of the excitation pulses. The correct conditions for measurements of the pulsed radiator field structures using hydrophones of finite size are discussed.


Es wird eine numerische Methode für die Berechnung transienter akustischer Vorgänge in einem System kreisförmiger, koaxialer Wandler betrachtet, wobei Sender und Empfänger beliebige Abmessungen haben. Die Analyse des für dieses System maßgebenden Modells beruht auf der Lösung der Wellengleichung im Zeitbereich. Es werden exakte analytische Ausdrücke für die Impulsantwort sowohl des mittleren Potentials als auch des mittleren Drucks auf der Empfängeroberfläche erhalten. Die Ergebnisse der Berechnung des Ausgangssignals auf den Empfänger werden vorgestellt und für verschiedene Formen der Anregungsimpulse analysiert. Des weiteren werden die Bedingungen für die korrekte Messung gepulster Strahlungsfelder mit Hydrophonen endlicher Größe diskutiert.


On calcule par la voie numérique certains transitoires acoustiques pour un système de transducteurs circulaires coaxiaux comportant un émetteur et un récepteur de dimensions arbitraires. La modélisation adéquate à ce problème repose sur la solution de l'équation des ondes dans le domaine temporel. On a obtenu des expressions analytiques exactes pour la réponse impulsionnelle d'un potentiel moyen et pour celle d'une pression moyenne sur la surface du récepteur. Les résultats des calculs de la forme d'onde du signal de sortie sont présentés et interprétés pour diverses formes des impulsions d'excitation. Ces données permettent de discuter les conditions pour une mesure correcte du rayonnement puisé d'un émetteur au moyen d'hydrophones de dimensions finies.
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Document Type: Research Article

Publication date: October 1, 1984

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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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