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Design theory for acoustic metamaterials based on transmission-line theory and its applications to acoustic cloaks

Research Project

Project/Area Number 18K14132
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 29030:Applied condensed matter physics-related
Research InstitutionKagoshima University

Principal Investigator

Nagayama Tsutomu  鹿児島大学, 理工学域工学系, 助教 (80781997)

Project Period (FY) 2018-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords変換音響学 / 音響透明マント / 音響メタマテリアル / 回路モデル / 分布定数線路モデル / 回路論的アプローチ / 等価回路
Outline of Final Research Achievements

In this research, the design theory for acoustic metamaterials has been proposed based on the transmission-line theory. The theory of the circuit model for electromagnetic metamaterials has been extended to acoustic metamaterials, and correspondences between material parameters and circuit parameters have been revealed. An acoustic carpet cloak for hiding an object on a flat surface has been designed by using the circuit model, and its operations have been confirmed by circuit simulations. Also, design formulas for acoustic metamaterials equivalent to the circuit model have been derived, and an acoustic carpet cloak for hiding an object on a flat surface has been designed as an example. Sound pressure level field distributions have been calculated by using a COMSOL Multiphysics, and operations of the designed acoustic carpet cloak have been shown from the calculated results. Therefore, the validity of the proposed design theory for acoustic metamaterials can have been confirmed.

Academic Significance and Societal Importance of the Research Achievements

本研究の成果により,座標変換に基づく高度な音波の経路制御を実現可能な音響メタマテリアルを回路モデルを用いて設計することが可能になった.これにより,従来の反射等を用いる音波の経路制御に比べて遥かに自由度が高い,新たな音波制御技術を開拓できる可能性がある.また,音響メタマテリアルの構造パラメータも大量の数値計算に頼らずに設計式から一意的に決められるため,非常に画期的である.また,本研究により電信方程式と音響方程式の双対性から,材料パラメータと回路パラメータの対応関係を明らかにしているが,同様の考えを適用すれば波及効果として,水波や地震波などの異分野の流体解析や設計への展開も期待できる.

Report

(3 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • Research Products

    (5 results)

All 2019 2018 Other

All Presentation (4 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results) Remarks (1 results)

  • [Presentation] Equivalent Circuit Models for Two-Dimensional Full-Tensor Anisotropic Acoustic Metamaterials2019

    • Author(s)
      T. Nagayama, S. Uchida, S. Fukushima, and T. Watanabe
    • Organizer
      PIERS 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2次元異方性音響メタマテリアルのための媒質モデルについて2019

    • Author(s)
      永山務, 福島誠治, 渡邉俊夫
    • Organizer
      第80回応用物理学会秋季講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Equivalent Circuit Models for Acoustic Metamaterials Based on Transformation Acoustics2019

    • Author(s)
      Tsutomu Nagayama, Shuntaro Uchida, Seiji Fukushima, Toshio Watanabe
    • Organizer
      メタマテリアル第187委員会 第9回電磁メタマテリアル講演会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 2次元異方性媒質等価回路モデルの変換音響学への適用2018

    • Author(s)
      Tsutomu Nagayama, Shuntaro Uchida, Seiji Fukushima, Toshio Watanabe
    • Organizer
      2018年第79回応用物理学会秋季学術講演会
    • Related Report
      2018 Research-status Report
  • [Remarks] 変換音響学

    • URL

      http://www.eee.kagoshima-u.ac.jp/~t-nagayama/Metamaterial/TA/

    • Related Report
      2019 Annual Research Report

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Published: 2018-04-23   Modified: 2021-02-19  

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