{"title":"Tunnelling escape of waves","authors":"David A. B. Miller, Zeyu Kuang, Owen D. Miller","doi":"10.1038/s41566-024-01578-w","DOIUrl":null,"url":null,"abstract":"<p>Applications of waves in communications, information processing and sensing need a clear understanding of how many strongly coupled channels or degrees of freedom exist in and out of volumes of space and how the coupling falls off for larger numbers. Numerical results are possible, and some heuristics exist, but there has been no simple physical picture and explanation for arbitrary volumes. By considering waves from a bounding spherical volume, we show a clear onset of a tunnelling escape of waves that both defines a limiting number of well-coupled channels for any volume and explains the subsequent rapid fall-off of coupling strengths. The approach works over all size scales, from nanophotonics and small radiofrequency antennas up to imaging optics. It gives a unified view from the multipole expansions common for antennas and small objects to the limiting plane and evanescent waves of large optics, showing that all such waves can escape to propagation to some degree, by tunnelling if necessary, and gives a precise diffraction limit.</p>","PeriodicalId":18926,"journal":{"name":"Nature Photonics","volume":"8 1","pages":""},"PeriodicalIF":32.3000,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nature Photonics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1038/s41566-024-01578-w","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Applications of waves in communications, information processing and sensing need a clear understanding of how many strongly coupled channels or degrees of freedom exist in and out of volumes of space and how the coupling falls off for larger numbers. Numerical results are possible, and some heuristics exist, but there has been no simple physical picture and explanation for arbitrary volumes. By considering waves from a bounding spherical volume, we show a clear onset of a tunnelling escape of waves that both defines a limiting number of well-coupled channels for any volume and explains the subsequent rapid fall-off of coupling strengths. The approach works over all size scales, from nanophotonics and small radiofrequency antennas up to imaging optics. It gives a unified view from the multipole expansions common for antennas and small objects to the limiting plane and evanescent waves of large optics, showing that all such waves can escape to propagation to some degree, by tunnelling if necessary, and gives a precise diffraction limit.
期刊介绍:
Nature Photonics is a monthly journal dedicated to the scientific study and application of light, known as Photonics. It publishes top-quality, peer-reviewed research across all areas of light generation, manipulation, and detection.
The journal encompasses research into the fundamental properties of light and its interactions with matter, as well as the latest developments in optoelectronic devices and emerging photonics applications. Topics covered include lasers, LEDs, imaging, detectors, optoelectronic devices, quantum optics, biophotonics, optical data storage, spectroscopy, fiber optics, solar energy, displays, terahertz technology, nonlinear optics, plasmonics, nanophotonics, and X-rays.
In addition to research papers and review articles summarizing scientific findings in optoelectronics, Nature Photonics also features News and Views pieces and research highlights. It uniquely includes articles on the business aspects of the industry, such as technology commercialization and market analysis, offering a comprehensive perspective on the field.