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Time-domain description of point-source acoustic wavefields as a useful approach in ultrasonic techniques

In traditional acoustics, field problems are usually treated in the frequency domain, broadband fields being reduced to superposition of harmonic spectrum components. However, this approach is inherently acausal and it is known that in case of arbitrary signals, the distribution-based, time-domain description can be more effective. The present paper is an attempt to expand the time-domain linear systems formalism onto space problems of physical acoustics. Ultrasonic waves in liquids are mostly seen as scalar waves of acoustic pressure accompanied by fluid particle velocity. No waves are considered in which velocity is accompanied by pressure. The paper proves the existence and fundamental role of both waves, presenting two distinct spherical wavefields induced by two kinds of point mechanical disturbances. A detailed phenomenological synthesis of linear acoustic field equations followed by an analysis of their solutions performed directly in the time domain, gives two classes of results, showing that the fields of scalar and vector sources, although formally twin, are much different, especially in the immediate vicinity of sources. This difference should not be neglected in precise ultrasonics.

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Informacje dodatkowe

Kategoria
Aktywność konferencyjna
Typ
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Język
angielski
Rok wydania
2012

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