Abstract

Abstract With the growing interest in the field of artificial materials, more advanced and sophisticated functionalities are required from phononic crystals and acoustic metamaterials. This implies a high computational effort and cost, and still the efficiency of the designs may be not sufficient. With the help of third-wave artificial intelligence technologies, the design schemes of these materials are undergoing a new revolution. As an important branch of artificial intelligence, machine learning paves the way to new technological innovations by stimulating the exploration of structural design. Machine learning provides a powerful means of achieving an efficient and accurate design process by exploring nonlinear physical patterns in high-dimensional space, based on data sets of candidate structures. Many advanced machine learning algorithms, such as deep neural networks, unsupervised manifold clustering, reinforcement learning and so forth, have been widely and deeply investigated for structural design. In this review, we summarize the recent works on the combination of phononic metamaterials and machine learning. We provide an overview of machine learning on structural design. Then discuss machine learning driven on-demand design of phononic metamaterials for acoustic and elastic waves functions, topological phases and atomic-scale phonon properties. Finally, we summarize the current state of the art and provide a prospective of the future development directions.

Highlights

  • In recent decades, the revolutionary development of functional materials has provided the ability to manipulate photons and phonons [1,2,3,4,5]

  • We summarize the recent works on the combination of phononic metamaterials and machine learning

  • We have introduced the basic principles of machine learning (ML) in the design of phononic metamaterials in the previous section

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Summary

Introduction

The revolutionary development of functional materials has provided the ability to manipulate photons and phonons [1,2,3,4,5]. The deep learning technology grew rapidly after 2006 [48, 49], and a series of algorithms were derived from the deepening of the structure of artificial neural network model, called deep neural networks (DNN) This was supported by the development of big data science and the improvement of computer performance that provided hardware support. The deep integration of deep learning and (nano) photonics has been widely reported in the literature [60,61,62,63,64,65,66] In this field, DNN can be used to predict the electromagnetic response for a given structure, which is called forward prediction. We introduce the mainstream ML algorithms that have been applied to the field of phononic metamaterials

Supervised learning
Unsupervised learning
Reinforcement learning
Design of phononic metamaterials enabled by ML
ML for acoustic metamaterials
ML for elastic metamaterials
ML on atomic-scale phononic metamaterials
Summary and prospective
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