Linear waves in bubbly liquids via the kramers-kronig relations

N. Brauner, A. I. Beltzer

Research output: Contribution to journalArticlepeer-review


A simple closed form analytic solution, as well as numerical solutions, are derived for acoustic waves of an arbitrary frequency, propagating in dilute bubbly liquids. The applied method treats the effective wave as a causal response of a linear system. The results are compared with the prediction of Foldy’s theory, which in this particular case is shown to be consistent with the Kramers-Kronig relations. These results thus complement recently reported investigations concerning the causal approach as well as the validity of Foldy’s theory.

Original languageEnglish
Pages (from-to)417-419
Number of pages3
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number3
StatePublished - Jul 1991


Dive into the research topics of 'Linear waves in bubbly liquids via the kramers-kronig relations'. Together they form a unique fingerprint.

Cite this