Kargl Steven G
Applied Physics Laboratory, University of Washington, Seattle 98105, USA.
J Acoust Soc Am. 2002 Jan;111(1 Pt 1):168-73. doi: 10.1121/1.1427356.
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.
由于对从福尔迪精确多重散射理论[福尔迪，《物理评论》67, 107 (1945)]获得的有效波数最低阶近似进行了所谓的“修正”，通过气泡液体的线性波传播再次引起了人们的兴趣。一种通过气泡液体进行波传播的替代方法是将两相介质的控制方程简化为有效介质。基于这种方法，康曼德和普罗斯佩雷蒂[《美国声学学会杂志》85, 732 (1989)]推导出了有效波数最低阶近似的表达式。在这个近似水平上，气泡仅与平均声场相互作用，不存在高阶再散射。也就是说，从一个气泡散射的场可能与分布中的一个或多个新气泡相互作用，但该散射场的一部分可能不会再散射回任何先前的气泡。本文表明，对康曼德和普罗斯佩雷蒂结果的修正导致了有效波数的一个新表达式，该表达式恰当地考虑了多重散射的所有高阶情况。
