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张亚东, 王新龙. 周期镶嵌亥姆霍兹共鸣腔平板的声全背向反射[J]. 声学学报, 2011, 36(2): 191-196. DOI: 10.15949/j.cnki.0371-0025.2011.02.022
引用本文: 张亚东, 王新龙. 周期镶嵌亥姆霍兹共鸣腔平板的声全背向反射[J]. 声学学报, 2011, 36(2): 191-196. DOI: 10.15949/j.cnki.0371-0025.2011.02.022
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ZHANG Yadong, WANG Xinlong. Back reflection of acoustic waves by a 1-D rigid panel with periodically embedded Helmholtz resonators[J]. ACTA ACUSTICA, 2011, 36(2): 191-196. DOI: 10.15949/j.cnki.0371-0025.2011.02.022
Citation: ZHANG Yadong, WANG Xinlong. Back reflection of acoustic waves by a 1-D rigid panel with periodically embedded Helmholtz resonators[J]. ACTA ACUSTICA, 2011, 36(2): 191-196. DOI: 10.15949/j.cnki.0371-0025.2011.02.022
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周期镶嵌亥姆霍兹共鸣腔平板的声全背向反射

Back reflection of acoustic waves by a 1-D rigid panel with periodically embedded Helmholtz resonators

    摘要
  • 摘要: 研究斜入射声波在周期镶嵌亥姆霍兹共鸣器的刚性界面上的反射行为。共鸣器间的空间周期间隔d和入射声波的波长λ相当,且大于共振腔尺寸,因此可被视为具有集总参数的声学元件。理论分析和数值计算均表明,当入射波频率和方向既满足布拉格共振条件又同时满足亥姆霍兹共振条件时,在通常的反射方向上反射声波消失,反射波逆入射方向传播,引起与常规反射全然不同的全背向反射。

     

    Abstract: Reflection of an obliquely incident plane acoustic wave by a rigid boundary that is periodically embedded with Helmholtz resonators is investigated.The resonator spacing d and the incident wavelengthλare assumed of the same order,both longer than the dimension of each Helmholtz resonator.Both analysis and computation show that for an incident acoustic wave with a frequency satisfying both conditions for the Bragg resonance and the Helmholtz resonance,the reflected wave disappears in the usual direction of reflection,but appears in the direction opposite to the incidence.The phenomenon is referred to in this work as back reflection,a new type of reflection completely different from the usual one.

     

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