TITLE:
Pulsed Sound Waves in a Compressible Fluid
AUTHORS:
Pierre Hillion
KEYWORDS:
Sound Wave, Unit Step Function, Travelling Pulses, Compressible Fluid
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.10,
October
11,
2011
ABSTRACT: The propagation along oz of pulsed sound waves made of sequences of elementary unit pulses U (sin τ) where U is the unit step function and τ = kz －ωt is analyzed using the expansion of U (sin τ) and of the Dirac distribution δ (sin τ) in terms of τ－nπ where n is an integer. Their properties and how these pulsed sound waves could be generated are discussed.