DYNAFLOW, INC, 10621-J Iron Bridge Road, Jessup, Maryland 20794, USA.
J Acoust Soc Am. 2012 Jan;131(1):24-34. doi: 10.1121/1.3666000.
The stability of thick shell encapsulated bubbles is studied analytically. 3-D small perturbations are introduced to the spherical oscillations of a contrast agent bubble in response to a sinusoidal acoustic field with different amplitudes of excitation. The equations of the perturbation amplitudes are derived using asymptotic expansions and linear stability analysis is then applied to the resulting differential equations. The stability of the encapsulated microbubbles to nonspherical small perturbations is examined by solving an eigenvalue problem. The approach then identifies the fastest growing perturbations which could lead to the breakup of the encapsulated microbubble or contrast agent.
对厚壳封装气泡的稳定性进行了分析研究。针对不同激励幅度的正弦声场，对造影剂气泡的球形振动引入了 3D 小扰动。利用渐近展开法推导出了微扰幅度方程，然后对所得微分方程进行了线性稳定性分析。通过求解特征值问题，考察了封装微泡对非球形小扰动的稳定性。该方法可以确定导致封装微泡或造影剂破裂的最快增长的微扰。
