{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,21]],"date-time":"2026-09-21T15:10:00Z","timestamp":1790003400958,"version":"4.0.1"},"reference-count":29,"publisher":"Optica Publishing Group","issue":"19","license":[{"start":{"date-parts":[[2026,9,21]],"date-time":"2026-09-21T00:00:00Z","timestamp":1789948800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v2#VOR"},{"start":{"date-parts":[[2026,9,21]],"date-time":"2026-09-21T00:00:00Z","timestamp":1789948800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/opg.optica.org\/policies\/opg-tdm-policy.json"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62401291"],"award-info":[{"award-number":["62401291"]}],"id":[{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"publisher"}]},{"name":"State Key Laboratory of Millimeter Waves","award":["K202503"],"award-info":[{"award-number":["K202503"]}],"id":[{"id":"https:\/\/ror.org\/02q1v5910","id-type":"ROR","asserted-by":"publisher"}]},{"name":"China Postdoctoral Science Foundation","award":["2024M761495"],"award-info":[{"award-number":["2024M761495"]}],"id":[{"id":"https:\/\/ror.org\/0426zh255","id-type":"ROR","asserted-by":"publisher"}]},{"name":"Zhejiang Provincial Postdoctoral Research Project Competitive Funding Program","award":["ZJ2026234"],"award-info":[{"award-number":["ZJ2026234"]}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Opt. Lett."],"published-print":{"date-parts":[[2026,10,1]]},"abstract":"<jats:p>Spoof surface plasmon polaritons (SSPPs) exhibit strong field confinement and slow-wave characteristics for microwave and terahertz applications. However, existing multiband SSPP structures generally lack independent control of cutoff frequencies and often suffer from radiation losses. Here, a multilayer substrate-integrated waveguide (SIW) supporting multi-order effective SSPP (ESSPP) modes is proposed for independently controllable multiband transmission. By exploiting structural dispersion in rectangular waveguides, multiple equivalent epsilon-negative\/epsilon-positive interfaces are created to excite different-order ESSPP modes in distinct frequency regions. Analytical dispersion relations and closed-form expressions for the cutoff frequencies are derived, showing that each passband is controlled by a single layer, thereby enabling independent frequency tuning and analytical filter design. A tri-band ESSPPs filter is designed, fabricated, and experimentally validated. The measured results agree well with theory and simulations, demonstrating three passbands at 5\u20135.7\u2009GHz, 6.3\u20136.7\u2009GHz, and 8.3\u20138.8\u2009GHz with low insertion losses. The proposed structure provides a compact and low-radiation platform for multiband microwave and millimeter-wave applications.<\/jats:p>","DOI":"10.1364\/ol.607267","type":"journal-article","created":{"date-parts":[[2026,8,16]],"date-time":"2026-08-16T18:00:10Z","timestamp":1786903210000},"page":"5365","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multi-order ESSPP modes with independently controllable cutoff frequencies for tri-band filters"],"prefix":"10.1364","volume":"51","author":[{"given":"Yang","family":"Yi","sequence":"first","affiliation":[{"name":"Nanjing Forestry University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Anqi","family":"Zhang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/043bpky34","id-type":"ROR","asserted-by":"publisher"}]},{"name":"Southeast University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiangdong","family":"Meng","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/043bpky34","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yi","family":"Lu","sequence":"additional","affiliation":[{"name":"Nanjing Forestry University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Di","family":"Jiang","sequence":"additional","affiliation":[{"name":"Nanjing Forestry University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bin","family":"Wu","sequence":"additional","affiliation":[{"name":"Nanjing Forestry University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2026,9,21]]},"reference":[{"key":"ol-51-19-5365-R1","doi-asserted-by":"publisher","first-page":"847","DOI":"10.1126\/science.1098999","type":"journal-article","volume":"305","author":"Pendry","year":"2004","journal-title":"Science"},{"key":"ol-51-19-5365-R2","doi-asserted-by":"publisher","first-page":"3374","DOI":"10.1364\/OL.44.003374","type":"journal-article","volume":"44","author":"Wang","year":"2019","journal-title":"Opt. 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All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.","name":"copyright","label":"Copyright"}]}}