{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,5]],"date-time":"2026-09-05T05:56:28Z","timestamp":1788587788364,"version":"build-2803163510"},"reference-count":55,"publisher":"Wiley","issue":"9","license":[{"start":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T00:00:00Z","timestamp":1777507200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T00:00:00Z","timestamp":1777507200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Nanophotonics"],"published-print":{"date-parts":[[2026,5,13]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>\n                    Breaking time\u2010reversal symmetry to achieve broadband and wide\u2010angle nonreciprocity is critical in electromagnetic waves manipulation. While Epsilon\u2010Near\u2010Zero materials have revolutionized the control of Transverse Magnetic modes, realizing comparable broadband nonreciprocity for Transverse Electric (TE) modes remains a formidable challenge because the permeability of the magneto\u2010optical materials is isotropic. Here, we propose a novel strategy utilizing gradient Permeability\u2010Near\u2010Zero (PNZ) subwavelength magnetic metastructures based on yttrium iron garnet thin films. By engineering the magnetic permeability tensor near the zero\u2010index regime, we excite robust TE\u2010polarized leaky modes (analogous to magnetic Berreman modes) in deep sub\u2010wavelength films (&lt;\n                    <jats:italic>\u03bb<\/jats:italic>\n                    \/100,\n                    <jats:italic>\u03bb<\/jats:italic>\n                    is wavelength). This mechanism unlocks a continuous nonreciprocal window, achieving a maximum nonreciprocity of 0.93 (approx. 12.4\u00a0dB) across the entire 35\u201340\u00a0GHz band. Unlike resonance\u2010dependent metastructures, our design exhibits intrinsic robustness, maintaining high performance over an exceptionally wide incidence angle range (&gt;\u00a040\u00b0) and thickness tolerances (\u221228% to +24%). This work fills the critical gap in magnetic light\u2013matter interactions, offering a scalable and robust material platform for next\u2010generation directional electromagnetic energy transport, emission control, and signal isolation.\n                  <\/jats:p>","DOI":"10.1002\/nap2.70112","type":"journal-article","created":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T09:35:01Z","timestamp":1777541701000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Broadband and Wide\u2010Angle Nonreciprocal Electromagnetic Transport via Gradient Permeability\u2010Near\u2010Zero Metastructures"],"prefix":"10.1002","volume":"15","author":[{"given":"Junyang","family":"Sui","sequence":"first","affiliation":[{"name":"College of Electronic and Optical Engineering &amp; College of Flexible Electronics (Future Technology) Nanjing University of Posts and Telecommunications  Nanjing China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hai\u2010Feng","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electronic and Optical Engineering &amp; College of Flexible Electronics (Future Technology) Nanjing University of Posts and Telecommunications  Nanjing China"},{"name":"State Key Laboratory of Millimeter Waves Southeast University  Nanjing China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,4,30]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1515\/nanoph\u20102021\u20100315"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2024.123303"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467\u2010023\u201040717\u20109"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/adom.201901548"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/adom.202301326"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1364\/prj.7.000246"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/lpor.202300374"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2017.39"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41565\u2010022\u201001205\u20101"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1515\/nanoph\u20102024\u20100216"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2015.80"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2023.124149"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11431\u2010023\u20102555\u2010y"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.112.117402"},{"key":"e_1_2_10_16_1","doi-asserted-by":"publisher","DOI":"10.1515\/nanoph\u20102021\u20100719"},{"key":"e_1_2_10_17_1","doi-asserted-by":"publisher","DOI":"10.1002\/adom.202202812"},{"key":"e_1_2_10_18_1","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.109.033717"},{"key":"e_1_2_10_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/tap.2025.3566508"},{"key":"e_1_2_10_20_1","doi-asserted-by":"publisher","DOI":"10.1002\/adfm.202210868"},{"key":"e_1_2_10_21_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467\u2010025\u201062853\u20100"},{"key":"e_1_2_10_22_1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0212581"},{"key":"e_1_2_10_23_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41928\u2010023\u201000936\u2010w"},{"key":"e_1_2_10_24_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467\u2010021\u201024749\u20107"},{"key":"e_1_2_10_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAP.2025.3530756"},{"key":"e_1_2_10_26_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11431\u2010024\u20102727\u20109"},{"key":"e_1_2_10_27_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377\u2010023\u201001341\u2010w"},{"key":"e_1_2_10_28_1","doi-asserted-by":"publisher","DOI":"10.29026\/oea.2025.240315"},{"key":"e_1_2_10_29_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41563\u2010023\u201001635\u20109"},{"key":"e_1_2_10_30_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377\u2010024\u201001520\u20103"},{"key":"e_1_2_10_31_1","doi-asserted-by":"publisher","DOI":"10.1515\/nanoph\u20102023\u20100520"},{"key":"e_1_2_10_32_1","doi-asserted-by":"publisher","DOI":"10.1002\/adom.202501219"},{"key":"e_1_2_10_33_1","doi-asserted-by":"publisher","DOI":"10.1002\/lpor.202500559"},{"key":"e_1_2_10_34_1","doi-asserted-by":"publisher","DOI":"10.1364\/oe.522462"},{"key":"e_1_2_10_35_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.optlastec.2023.109422"},{"key":"e_1_2_10_36_1","doi-asserted-by":"publisher","DOI":"10.1103\/physrev.130.2193"},{"key":"e_1_2_10_37_1","doi-asserted-by":"publisher","DOI":"10.1364\/oe.20.023971"},{"key":"e_1_2_10_38_1","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.127.266101"},{"key":"e_1_2_10_39_1","doi-asserted-by":"publisher","DOI":"10.1364\/aop.11.000892"},{"key":"e_1_2_10_40_1","doi-asserted-by":"publisher","DOI":"10.1364\/ome.562660"},{"key":"e_1_2_10_41_1","doi-asserted-by":"publisher","DOI":"10.1364\/ao.37.005271"},{"key":"e_1_2_10_42_1","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.100.207402"},{"key":"e_1_2_10_43_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3692178"},{"key":"e_1_2_10_44_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2022.105082"},{"key":"e_1_2_10_45_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11831\u2010024\u201010202\u20107"},{"key":"e_1_2_10_46_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00723\u2010021\u201001330\u20105"},{"key":"e_1_2_10_47_1","doi-asserted-by":"publisher","DOI":"10.1103\/physrevapplied.19.014013"},{"key":"e_1_2_10_48_1","doi-asserted-by":"publisher","DOI":"10.1364\/ome.444308"},{"key":"e_1_2_10_49_1","doi-asserted-by":"publisher","DOI":"10.1364\/josaa.11.001422"},{"key":"e_1_2_10_50_1","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-08-054721-3.50037-X"},{"key":"e_1_2_10_51_1","doi-asserted-by":"publisher","DOI":"10.1364\/ao.51.006789"},{"key":"e_1_2_10_52_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ceramint.2018.11.106"},{"key":"e_1_2_10_53_1","doi-asserted-by":"publisher","DOI":"10.3390\/cryst15110953"},{"key":"e_1_2_10_54_1","doi-asserted-by":"pu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