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<p>The paper studies the problem of wave propagation through a multi-layered structure, which consists of a finite number of solid / fluid parallel layers of finite thickness. By considering the structure as a protective multi-layered barrier placed in a (scalar) fluid space to reduce the amplitude of the plane incident wave, we give an exact explicit analytical representation for the transmission coefficient, in the case of arbitrary finite number of layers and arbitrary values of their thicknesses. We demonstrate wave properties of the barrier for various types of the geometry, including the case of ultra-low frequencies.</p>

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Explicit analytical representation for a transmission coefficient in the normal wave propagation through a multi-layered solid-fluid structure

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Mezhlum Sumbatyan,
  • Mariya Chernikova

摘要

The paper studies the problem of wave propagation through a multi-layered structure, which consists of a finite number of solid / fluid parallel layers of finite thickness. By considering the structure as a protective multi-layered barrier placed in a (scalar) fluid space to reduce the amplitude of the plane incident wave, we give an exact explicit analytical representation for the transmission coefficient, in the case of arbitrary finite number of layers and arbitrary values of their thicknesses. We demonstrate wave properties of the barrier for various types of the geometry, including the case of ultra-low frequencies.