Causality, caustics, and the structure of transient wave fields

Michael G Brown, Frederick D. Tappert

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Transient acoustic wave fields in the vicinity of caustics in both two and three space dimensions are considered. In the vicinity of some possible caustics, the time history of the wave field due to an impulsive source includes a precursor. This noncausal behavior is reconciled with the physical principle of causality by requiring that such caustics be a part of certain higher dimensional caustics. With this constraint all noncausal arrivals are preceded by a causal arrival and the total time history is causal. This constraint is used to derive some simple general properties of transient wave fields in the short wave limit, e.g., the number of arrivals must be an odd number.

Original languageEnglish (US)
Pages (from-to)251-255
Number of pages5
JournalJournal of the Acoustical Society of America
Volume80
Issue number1
DOIs
StatePublished - 1986

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alkalies
arrivals
histories
acoustics
Waves
Causality
Causal

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Arts and Humanities (miscellaneous)

Cite this

Causality, caustics, and the structure of transient wave fields. / Brown, Michael G; Tappert, Frederick D.

In: Journal of the Acoustical Society of America, Vol. 80, No. 1, 1986, p. 251-255.

Research output: Contribution to journalArticle

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