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光中听鼓之形:光子学中的等谱性

Hearing the shape of a drum for light: isospectrality in photonics.

作者信息

Park Seungkyun, Lee Ikbeom, Kim Jungmin, Park Namkyoo, Yu Sunkyu

机构信息

Photonic Systems Laboratory, Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Korea.

Intelligent Wave Systems Laboratory, Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Korea.

出版信息

Nanophotonics. 2021 Dec 8;11(11):2763-2778. doi: 10.1515/nanoph-2021-0614. eCollection 2022 Jun.

DOI:10.1515/nanoph-2021-0614
PMID:39635667
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11501533/
Abstract

The independent tailoring of wave quantities lays the foundation for controlling wave phenomena and designing wave devices. The concept of isospectrality, which suggests the existence of systems that provide identical spectra, has inspired a novel route to the spectrum-preserved engineering of wave-matter interactions in photonics, acoustics, and quantum mechanics. Recently, in photonics, constructing isospectral optical structures has become an emerging research topic to handle the intricate spectral responses of the systems composed of many-particles or inhomogeneous materials. The cornerstones in this field have stimulated the realization of non-Hermitian systems with real eigenspectra, one-dimensional structures exhibiting higher-dimensional physics, and novel engineering methodologies for broadband devices such as phase-matched multiplexers and multimodal lasing platforms. Here we review recent achievements based on isospectrality in photonics. We outline milestones in two different subfields of supersymmetric photonics and interdimensional isospectrality. We illustrate that isospectrality has paved the way for the independent control of wave quantities, showing great potential for the analytical and platform-transparent design of photonic systems with complex structures and materials.

摘要

波量的独立剪裁为控制波动现象和设计波动器件奠定了基础。等谱性的概念表明存在能提供相同光谱的系统,这激发了一条在光子学、声学和量子力学中进行波与物质相互作用的频谱保持工程的新途径。最近,在光子学领域,构建等谱光学结构已成为一个新兴的研究课题,用于处理由多粒子或非均匀材料组成的系统的复杂光谱响应。该领域的基石推动了具有实本征谱的非厄米系统、展现高维物理的一维结构以及诸如相位匹配复用器和多模激光平台等宽带器件的新型工程方法的实现。在此,我们回顾基于光子学中等谱性的近期成果。我们概述超对称光子学和跨维等谱性这两个不同子领域的里程碑。我们表明等谱性为波量的独立控制铺平了道路,在具有复杂结构和材料的光子系统的解析和平台透明设计方面显示出巨大潜力。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/090443ab05c5/j_nanoph-2021-0614_fig_007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/8e70301cd5ae/j_nanoph-2021-0614_fig_001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/844540b7132e/j_nanoph-2021-0614_fig_002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/c95e29626bf9/j_nanoph-2021-0614_fig_003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/b6b71a23f756/j_nanoph-2021-0614_fig_004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/ba50c6dcbbe7/j_nanoph-2021-0614_fig_005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/d134b8d97a36/j_nanoph-2021-0614_fig_006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/090443ab05c5/j_nanoph-2021-0614_fig_007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/8e70301cd5ae/j_nanoph-2021-0614_fig_001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/844540b7132e/j_nanoph-2021-0614_fig_002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/c95e29626bf9/j_nanoph-2021-0614_fig_003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/b6b71a23f756/j_nanoph-2021-0614_fig_004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/ba50c6dcbbe7/j_nanoph-2021-0614_fig_005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/d134b8d97a36/j_nanoph-2021-0614_fig_006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1c4/11501533/090443ab05c5/j_nanoph-2021-0614_fig_007.jpg

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引用本文的文献

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