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Pulsed Sound Waves in a Compressible Fluid
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Applied Mathematics·Volume 02 (2011)·Pages 1204–1206·Published 11 October 2011·DOI10.4236/am.2011.210167
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Abstract
The propagation along oz of pulsed sound waves made of sequences of elementary unit pulses <i>U</i> (sin <i>τ</i>) where <i>U</i> is the unit step function and <i>τ</i> = <i>kz</i> －<i>ωt</i> is analyzed using the expansion of <i>U</i> (sin <i>τ</i>) and of the Dirac distribution <i>δ</i> (sin <i>τ</i>) in terms of <i>τ</i>－<i>nπ</i> where n is an integer. Their properties and how these pulsed sound waves could be generated are discussed.
KeywordsSound WaveUnit Step FunctionTravelling PulsesCompressible Fluid
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