Phononic band gap crystals with periodic fractal inclusions: Theoretical study using numerical analysis
Phononic band gap crystals with periodic fractal inclusions: Theoretical study using numerical analysis
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DOI：
10.1063/1.2931955
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发表时间：
2008-05
影响因子：
3.2
通讯作者：
R. Norris;J. Hamel;P. Nadeau
中科院分区：
文献类型：
--
作者：
R. Norris;J. Hamel;P. Nadeau
采用时域有限差分法分析了周期性分形夹杂物对二维声子或声学带隙晶体频率响应的影响。对正方形晶格结构中正方形包裹体生成的不同类型分形，分别采用递增分形阶数迭代法和递增分形维数法，研究了固体包裹体和流体包裹体的分形特征。固体-流体系统表现出显着的变化，频率响应，包括增加的频带的多样性相比，规则的方形夹杂物的形状。分形夹杂物中的固体主机/流体包裹体系统的研究表现出的能力，提供更长的波长比那些固体主机/固体包裹体系统的研究的带隙。利用时域有限差分法研究了周期性分形流体夹杂对二维声子晶体和声学晶体频率响应的影响.对正方形晶格结构中正方形包裹体生成的不同类型分形，分别采用递增分形阶数迭代法和递增分形维数法，研究了固体包裹体和流体包裹体的分形特征。固体-流体系统表现出显着的变化，频率响应，包括增加的频带的多样性相比，规则的方形夹杂物的形状。分形夹杂物中的固体主机/流体包裹体系统的研究表现出的能力，提供更长的波长比那些固体主机/固体包裹体系统的研究的带隙。这种行为归因于分形流体包裹体与分形固体包裹体相比具有共振局域化效应的可能性。
A numerical study is conducted using finite difference time-domain analysis to determine the impact of periodic fractal-shaped inclusions on the frequency response of two-dimensional phononic or acoustic band gap crystals. Both solid host with solid inclusions and solid host with fluid inclusions were studied with increasing fractal order iteration or increasing fractal dimensionality for different types of fractals generated from square inclusions in a square lattice formation. Solid-fluid systems showed marked changes in frequency response including increasing multiplicity of bands compared to regular square inclusion shapes. Fractal inclusions in the solid host/fluid inclusion systems studied exhibited the ability to provide band gaps for much longer wavelengths than those of the solid host/solid inclusion systems studied. This behavior was attributed to the possibility of resonant localization effects that a fractal fluid inclusion can exhibit compared to fractal solid inclusions.A numerical study is conducted using finite difference time-domain analysis to determine the impact of periodic fractal-shaped inclusions on the frequency response of two-dimensional phononic or acoustic band gap crystals. Both solid host with solid inclusions and solid host with fluid inclusions were studied with increasing fractal order iteration or increasing fractal dimensionality for different types of fractals generated from square inclusions in a square lattice formation. Solid-fluid systems showed marked changes in frequency response including increasing multiplicity of bands compared to regular square inclusion shapes. Fractal inclusions in the solid host/fluid inclusion systems studied exhibited the ability to provide band gaps for much longer wavelengths than those of the solid host/solid inclusion systems studied. This behavior was attributed to the possibility of resonant localization effects that a fractal fluid inclusion can exhibit compared to fractal solid inclusions.