EI、Scopus 收录
中文核心期刊
徐志昂, 骆嘉晨, 丁相贵, 杜宗亮, 郭旭. 基于扩散模型的高阶拓扑绝缘体实时设计[J]. 力学学报.
引用本文: 徐志昂, 骆嘉晨, 丁相贵, 杜宗亮, 郭旭. 基于扩散模型的高阶拓扑绝缘体实时设计[J]. 力学学报.
REAL-TIME DESIGN OF HIGHER-ORDER TOPOLOGICAL INSULATORS BY DIFFUSION MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics.
Citation: REAL-TIME DESIGN OF HIGHER-ORDER TOPOLOGICAL INSULATORS BY DIFFUSION MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics.

基于扩散模型的高阶拓扑绝缘体实时设计

REAL-TIME DESIGN OF HIGHER-ORDER TOPOLOGICAL INSULATORS BY DIFFUSION MODEL

  • 摘要: 作为一种全新的波控工具,高阶拓扑绝缘体可以将能量鲁棒高效地局域化在低维空间,且对缺陷不敏感。在光子和声子系统中,高阶拓扑绝缘体的快速设计仍然是一项挑战。本工作采用移动可变形孔洞法显式描述 对称的单胞构型,并结合能带理论和对称指标刻画其性能(拓扑性质和非平凡带隙宽度)。在此基础上,提出了一种基于去噪扩散概率模型(DDPM)的实时设计框架,可以精准快速地按需逆向设计力学高阶拓扑绝缘体。应用所发展的算法,单机生成一个设计仅需约0.01秒,相比传统逆向设计方法效率提升6到7个数量级,且多样性较基于深度学习代理模型的优化设计结果具有显著提升。此外,所得设计具有显式描述的几何信息,因而可以直接与CAD/CAE软件结合,避免了隐式描述算法中的后处理步骤。这种基于DDPM的实时设计框架易于扩展应用于多物理场拓扑材料和其它类型超材料的逆向设计。

     

    Abstract: As a novel tool for wave manipulation, higher-order topological insulators can efficiently and robustly localize energy in low-dimensional space insensitive to defects. Nevertheless, the fast design of high-order topological insulators in photonic and phononic systems is still a challenge. In the present work, -symmetric continuum unit cells are explicitly described by the moving morphable voids method, and the concerned properties (topological properties and non-trivial bandgap width) are measured by the band theory and symmetry indicators. Based upon these, a real-time design paradigm utilizing the denoising diffusion probabilistic model (DDPM) is proposed, capable of accurately and fast designing higher-order topological insulators on demand. Using the developed algorithm, it only takes about 0.01 seconds to generate a design in a desktop computer, which improves the design efficiency by 6 to 7 orders of magnitude compared with the traditional inverse design method, and the diversity of generated designs is significantly improved compared with the optimization design results obtained by deep learning based surrogate model. In addition, the generated designs have explicitly described geometric information, so they can be directly integrated with CAD/CAE software, avoiding the post-processing step in implicit description method. This real-time design paradigm based on DDPM can be easily extended to inverse design of multi-physical topological materials and other types of metamaterials.

     

/

返回文章
返回