[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-201880-105":59,"doc-detail-201880-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","plasmonics-in-free-space-observation-of-giant-wavevectors-vortices-and-energy-backflow-in-superoscillatory-optical-fields","Plasmonics in Free Space - Observation of Giant Wavevectors, Vortices, and Energy Backflow in Superoscillatory Optical Fields","","Evanescent light can be localized at the nanoscale through resonant absorption in plasmonic nanoparticles or tapers, or via transmission through a nanohole. A conventional lens cannot focus free-space light beyond half the wavelength, yet tailored interference of multiple waves enables superoscillation, forming arbitrarily small hotspots. The study reports integrated metasurface interferometry that maps fields with ~λ/100 resolution and links superoscillatory hotspots to phase singularities, vortices, and energy backflow, tightening the focal spot beyond the Abbe–Rayleigh limit for nanoscale metrology and imaging.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/plasmonics-in-free-space-observation-of-giant-wavevectors-vortices-and-energy-backflow-in-superoscillatory-optical-fields/201880/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/plasmonics-in-free-space-observation-of-giant-wavevectors-vortices-and-energy-backflow-in-superoscillatory-optical-fields/201880.png","ImageObject",300,407,{"name":92,"@type":93},"Ivy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-09","2026-09-04",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why does a conventional lens have a focusing limit for free-space light?","Question",{"text":112,"@type":113},"A conventional lens cannot focus free-space light beyond half the wavelength λ.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does superoscillation create hotspots smaller than the usual diffraction limit?",{"text":117,"@type":113},"Superoscillation forms a hotspot in free space by precisely tailoring the interference of multiple waves.",{"name":119,"@type":110,"acceptedAnswer":120},"What measurement capability does the paper introduce?",{"text":121,"@type":113},"It introduces an integrated metasurface interferometry method that maps fields with deep subwavelength resolution of about ~λ/100.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},201880,1790461389,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":44,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},549758252649,"https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819","Yuan et al. Light: Science & Applications (2019)8:2 Official journal of the CIOMP 2047-7538  \n[https://doi.org/10.1038/s41377-018-01](https://doi.org/10.1038/s41377-018-01)12-z [www.nature.com/lsa](www.nature.com/lsa)  \nARTICLE Open Access  \n“Plasmonics” in free space: observation of giant wavevectors, vortices, and energy backflow in superoscillatory optical fields  \nGuanghui Yuan1, Edward T. F. Rogers2,3 and Nikolay I. Zheludev1,2  \nAbstract  \nEvanescent light can be localized at the nanoscale by resonant absorption in a plasmonic nanoparticle or taper or by transmission through a nanohole. However, a conventional lens cannot focus free-space light beyond half of the wavelength λ . Nevertheless, precisely tailored interference of multiple waves can form a hotspot in free space of an arbitrarily small size, which is known as superoscillation. Here, we report a new type of integrated metasurface interferometry that allows for the first time mapping of fields with a deep subwavelength resolution ~λ/100 . The findings reveal that an electromagnetic field near the superoscillatory hotspot has many features similar to those found near resonant plasmonic nanoparticles or nanoholes: the hotspots are surrounded by nanoscale phase singularities and zones where the phase of the superoscillatory field changes more than tenfold faster than a freepropagating plane wave. Areas with high local wavevectors are pinned to phase vortices and zones of energy backflow (~λ/20 in size) that contribute to tightening of the main focal spot size beyond the Abbe–Rayleigh limit. Our observations reveal some analogy between plasmonic nanofocusing of evanescent waves and superoscillatory nanofocusing of free-space waves and prove the fundamental link between superoscillations and superfocusing, offering new opportunities for nanoscale metrology and imaging.  \nIntroduction  \nIn recent years, plasmonics—coupled electromagnetic states of light and free electrons in metals—has become the dominant research direction in photonics. The main advantage of plasmonics is that it gives access to large wavevectors of evanescent fields near metallic nanostructures, which facilitates miniaturization and enhanced light localization in numerous applications (including sensors, photovoltaics, light harvesting, data storage, spectroscopy, ultracompact electro-optical devices, and optical interconnects) and underpins the functionalities of advanced photonic materials and metamaterials engineered at the nanoscale. Moreover, evanescent plasmonic  \nCorrespondence: Nikolay I. Zheludev ([nzheludev@ntu.edu.sg](nzheludev@ntu.edu.sg))  \n1Centre for Disruptive Photonic Technologies, The Photonic Institute, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore  \n2Optoelectronics Research Centre and Centre for Photonic Metamaterials, University of Southampton, Highfield, Southampton SO17 1BJ, UK  \nFull list of author information is available at the end of the article.  \nfields are often highly structured and contain phase singularities, vortices, and energy backflow zones. The main drawback of plasmonics is the resistive Joule losses in metals, which leads to a rapid dissipation of energy in the nanostructures. Considerable efforts have been devoted to searching for novel plasmonic materials with functionalities and losses improved beyond those offered by conventional plasmonic media, where the material characteristics can be better than those offered by con  \nventional plasmonic metals, such as gold and silver.  \nThe main purpose of this paper is to bring to the attention of the growing nanophotonics research community that the attractive features of evanescent plasmonic fields—such as high localization and extremely rapid variations of fields, giant wavevectors, phase singularities, nanoscale vortices, and energy backflows—can be constructed not only in the immediate vicinity of a metallic plasmonic nanostructure but also in free space, and there","cbCainGAyIAiHtLX","https://ap.wps.com/l/cbCainGAyIAiHtLX","pdf",4015104,"English","# Introduction\n## Background: plasmonics and evanescent localization\n## Motivation: losses in metals vs free-space construction\n## Aim of the paper: integrated metasurface interferometry for superoscillatory focusing","[{\"question\":\"Why does a conventional lens have a focusing limit for free-space light?\",\"answer\":\"A conventional lens cannot focus free-space light beyond half the wavelength λ.\"},{\"question\":\"How does superoscillation create hotspots smaller than the usual diffraction limit?\",\"answer\":\"Superoscillation forms a hotspot in free space by precisely tailoring the interference of multiple waves.\"},{\"question\":\"What measurement capability does the paper introduce?\",\"answer\":\"It introduces an integrated metasurface interferometry method that maps fields with deep subwavelength resolution of about ~λ/100.\"}]","Plasmonics in Free Space - Observation of Giant Wavevectors, Vortices, and Energy Backflow in Superoscillatory Optical Fields | PDF",1788539731,23]