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通过对二维正方排列圆柱状亥姆赫兹共振腔阵列声性质的研究,指出局域共振型声子晶体中存在两类耦合作用,即共振单元与基体的弱耦合作用及共振单元间的耦合作用.其中前一种耦合作用可以通过改变共振单元的品质因子而改变,逐渐减小这种耦合作用可以实现从局域共振到布拉格共振的连续转变;后一种耦合是通过共振单元周围的近场耦合实现的,通过减小共振单元的间距可以增大其耦合强度,因而增大带隙宽度,但带隙中波的衰减深度却是随这种耦合强度的增大而减小的,
By studying the acoustic properties of a cylindrical Helmholtz array with two-dimensional square arrangement, it is pointed out that there are two kinds of coupling effects in the localized resonant phononic crystals: the weak coupling between the resonating element and the matrix and the coupling between the resonating elements , In which the former coupling effect can be changed by changing the quality factor of the resonance unit, and the coupling effect can be gradually reduced from the local resonance to the Bragg resonance continuous transformation; the latter coupling is achieved by the near field around the resonance unit , The coupling strength can be increased by reducing the spacing of the resonance units, thereby increasing the band gap width. However, the attenuation depth of the wave in the band gap decreases with the increase of the coupling strength,