Nikitov Sergey A, Popov Roman S, Lisenkov Ivan V, Kim Chul Koo
Inst. for Radioengineering & Electron., Moscow.
IEEE Trans Ultrason Ferroelectr Freq Control. 2008 Aug;55(8):1831-9. doi: 10.1109/TUFFC.2008.866.
Elastic wave propagation along the structure of hollow cylinders in a linear isotropic medium is investigated. The multipole method for modeling elastic waves propagation in such structures is formulated and implemented. Using the multipole method, dispersion dependencies of the structures (microstructured fibers) containing 3, 6, and 7 hollow cylinders are calculated. Comparison with wave dispersion properties along one cylinder is made. Also, an approximate physical model based on an equivalent coaxial waveguide and multipole method is proposed. Exploiting this model, wave dispersion of the wave propagating along a structure with 18 hollow cylinders is calculated. Validation of the model is also proposed.
研究了弹性波在线性各向同性介质中沿空心圆柱结构的传播。建立并实现了用于模拟此类结构中弹性波传播的多极子方法。使用多极子方法，计算了包含3个、6个和7个空心圆柱的结构（微结构纤维）的色散关系。与沿单个圆柱的波色散特性进行了比较。此外，还提出了一种基于等效同轴波导和多极子方法的近似物理模型。利用该模型，计算了沿具有18个空心圆柱的结构传播的波的色散。还提出了对该模型的验证。
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