中国物理B ›› 2024, Vol. 33 ›› Issue (10): 104301-104301.doi: 10.1088/1674-1056/ad6b85

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Inverse design of nonlinear phononic crystal configurations based on multi-label classification learning neural networks

Kunqi Huang(黄坤琦)1,2, Yiran Lin(林懿然)1,2, Yun Lai(赖耘)1,2,†, and Xiaozhou Liu(刘晓宙)1,2,3,‡   

  1. 1 Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China;
    2 School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
    3 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2024-06-22 修回日期:2024-07-31 接受日期:2024-08-06 出版日期:2024-10-15 发布日期:2024-10-15
  • 通讯作者: Yun Lai, Xiaozhou Liu E-mail:laiyun@nju.edu.cn;xzliu@nju.edu.cn
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2020YFA0211400), the State Key Program of the National Natural Science of China (Grant No. 11834008), the National Natural Science Foundation of China (Grant Nos. 12174192, 12174188, and 11974176), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA202410), and the Fund from the Key Laboratory of Underwater Acoustic Environment, Chinese Academy of Sciences (Grant No. SSHJ-KFKT-1701).

Inverse design of nonlinear phononic crystal configurations based on multi-label classification learning neural networks

Kunqi Huang(黄坤琦)1,2, Yiran Lin(林懿然)1,2, Yun Lai(赖耘)1,2,†, and Xiaozhou Liu(刘晓宙)1,2,3,‡   

  1. 1 Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China;
    2 School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
    3 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2024-06-22 Revised:2024-07-31 Accepted:2024-08-06 Online:2024-10-15 Published:2024-10-15
  • Contact: Yun Lai, Xiaozhou Liu E-mail:laiyun@nju.edu.cn;xzliu@nju.edu.cn
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2020YFA0211400), the State Key Program of the National Natural Science of China (Grant No. 11834008), the National Natural Science Foundation of China (Grant Nos. 12174192, 12174188, and 11974176), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA202410), and the Fund from the Key Laboratory of Underwater Acoustic Environment, Chinese Academy of Sciences (Grant No. SSHJ-KFKT-1701).

摘要: Phononic crystals, as artificial composite materials, have sparked significant interest due to their novel characteristics that emerge upon the introduction of nonlinearity. Among these properties, second-harmonic features exhibit potential applications in acoustic frequency conversion, non-reciprocal wave propagation, and non-destructive testing. Precisely manipulating the harmonic band structure presents a major challenge in the design of nonlinear phononic crystals. Traditional design approaches based on parameter adjustments to meet specific application requirements are inefficient and often yield suboptimal performance. Therefore, this paper develops a design methodology using Softmax logistic regression and multi-label classification learning to inversely design the material distribution of nonlinear phononic crystals by exploiting information from harmonic transmission spectra. The results demonstrate that the neural network-based inverse design method can effectively tailor nonlinear phononic crystals with desired functionalities. This work establishes a mapping relationship between the band structure and the material distribution within phononic crystals, providing valuable insights into the inverse design of metamaterials.

关键词: multi-label classification learning, nonlinear phononic crystals, inverse design

Abstract: Phononic crystals, as artificial composite materials, have sparked significant interest due to their novel characteristics that emerge upon the introduction of nonlinearity. Among these properties, second-harmonic features exhibit potential applications in acoustic frequency conversion, non-reciprocal wave propagation, and non-destructive testing. Precisely manipulating the harmonic band structure presents a major challenge in the design of nonlinear phononic crystals. Traditional design approaches based on parameter adjustments to meet specific application requirements are inefficient and often yield suboptimal performance. Therefore, this paper develops a design methodology using Softmax logistic regression and multi-label classification learning to inversely design the material distribution of nonlinear phononic crystals by exploiting information from harmonic transmission spectra. The results demonstrate that the neural network-based inverse design method can effectively tailor nonlinear phononic crystals with desired functionalities. This work establishes a mapping relationship between the band structure and the material distribution within phononic crystals, providing valuable insights into the inverse design of metamaterials.

Key words: multi-label classification learning, nonlinear phononic crystals, inverse design

中图分类号:  (Nonlinear acoustics)

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