作为声泡模型系统的三个耦合振子的避免交叉
Avoided crossings in three coupled oscillators as a model system of acoustic bubbles
摘要：
三个声耦合气泡的共振频率和振荡相位的检查，以表明避免交叉可以出现在一个多气泡系统。通过一个简单的耦合振子模型，我们表明，如果至少有三个气泡存在，它是可能的，它们的共振频率作为气泡之间的分离距离的函数，以避免交叉。通过对振荡相位的研究，并在对跃迁频率分析的基础上，提出了一种新的振荡相位分析方法[M. Ida，Phys. Lett. A 297，210（2002）; M. Ida，J. Phys. Soc. Jpn. 71，1214（2002）]的耦合气泡，我们表明，一个独特的状态交换发生在避免交叉区域中的一个点的气泡之间，在那里的三重气泡系统的共振频率与过渡频率不对应的共振频率交叉。
英文摘要：
The resonance frequencies and oscillation phases of three acoustically coupled bubbles are examined to show that avoided crossings can appear in a multibubble system. Via a simple coupled oscillator model, we show that if at least three bubbles exist, it is possible for their resonance frequencies as functions of the separation distances between the bubbles to experience an avoided crossing. Furthermore, by focusing our attention on the oscillation phases and based on analysis of the transition frequencies [M. Ida, Phys. Lett. A 297, 210 (2002); M. Ida, J. Phys. Soc. Jpn. 71, 1214 (2002)] of the coupled bubbles, we show that a distinct state exchange takes place between the bubbles at a point in the avoided crossing region, where a resonance frequency of the triple-bubble system crosses with a transition frequency not corresponding to the resonance frequencies.
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