期刊
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
卷 111, 期 1, 页码 168-173出版社
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.1427356
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Linear wave propagation through a bubbly liquid has seen a resurgence of interest because of proposed corrections to the lowest-order approximation of an effective wave number obtained from Foldy's exact multiple scattering theory [Foldy, Phys. Rev. 67, 107 (1945)]. An alternative approach to wave propagation through a bubbly liquid reduces the governing equations for a two-phase medium to an effective medium. Based on this approach, Commander and Prosperetti [J. Acoust. Soc. Am. 85, 732 (1989)] derive an expression for the lowest-order approximation to an effective wave number. At this level of approximation the bubbles interact with only the mean acoustic field without higher-order rescattering. That is, the field scattered from a bubble may interact with one or more new bubbles in the distribution, but a portion of that scattered field may not be scattered back to any previous bubble. The current article shows that modifications to the results of Commander and Prosperetti lead to a new expression for the effective wave number, which properly accounts for all higher orders of multiple scattering. (C) 2002 Acoustical Society of America.
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