{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T17:39:16Z","timestamp":1781804356517,"version":"3.54.5"},"reference-count":34,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,4,12]],"date-time":"2024-04-12T00:00:00Z","timestamp":1712880000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"publisher","award":["11974221"],"award-info":[{"award-number":["11974221"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"publisher","award":["12274269"],"award-info":[{"award-number":["12274269"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>We propose and study a nanoscale strong coupling effect between metamaterials and polymer molecular vibrations using metallic split-ring resonators (SRRs). Specifically, we first provided a numerical investigation of the SRR design, which was followed by an experimental demonstration of strong coupling between mid-infrared magnetic dipole resonance supported by the SRRs fabricated on a calcium fluoride substrate and polymethyl methacrylate molecular vibrations at 1730 cm\u22121. Characterized by the anti-crossing feature and spectral splitting behaviors in the transmission spectra, these results demonstrate efficient nanoscale manipulation of light\u2013matter interactions between phonon vibrations and metamaterials.<\/jats:p>","DOI":"10.3390\/s24082479","type":"journal-article","created":{"date-parts":[[2024,4,12]],"date-time":"2024-04-12T09:28:06Z","timestamp":1712914086000},"page":"2479","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Strong Coupling Effect between Metallic Split-Ring Resonators and Molecular Vibrations in Polymethyl Methacrylate"],"prefix":"10.3390","volume":"24","author":[{"given":"Ya","family":"Liu","sequence":"first","affiliation":[{"name":"Shandong Provincial Key Laboratory of Optics and Photonic Devices, Center of Light Manipulation and Applications, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-5870-9142","authenticated-orcid":false,"given":"Esha","family":"Maqbool","sequence":"additional","affiliation":[{"name":"Shandong Provincial Key Laboratory of Optics and Photonic Devices, Center of Light Manipulation and Applications, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4177-2555","authenticated-orcid":false,"given":"Zhanghua","family":"Han","sequence":"additional","affiliation":[{"name":"Shandong Provincial Key Laboratory of Optics and Photonic Devices, Center of Light Manipulation and Applications, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"155410","DOI":"10.1103\/PhysRevB.75.155410","article-title":"Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern","volume":"75","author":"Silveirinha","year":"2007","journal-title":"Phys. Rev. B"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"207402","DOI":"10.1103\/PhysRevLett.100.207402","article-title":"Perfect Metamaterial Absorber","volume":"100","author":"Landy","year":"2008","journal-title":"Phys. Rev. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1660","DOI":"10.1021\/nl3000453","article-title":"Plasmonic Nanoclusters: Near Field Properties of the Fano Resonance Interrogated with SERS","volume":"12","author":"Ye","year":"2012","journal-title":"Nano Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1038\/nmat2810","article-title":"The Fano resonance in plasmonic nanostructures and metamaterials","volume":"9","author":"Zheludev","year":"2010","journal-title":"Nat. Mater."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"072007","DOI":"10.35848\/1882-0786\/ac79a0","article-title":"Analogy of multi-band electromagnetically induced transparency metamaterial based on simple combination of split-ring resonators","volume":"15","author":"Shen","year":"2022","journal-title":"Appl. Phys. Express"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2100240","DOI":"10.1002\/lpor.202100240","article-title":"Enhanced Strong Coupling of TMDC Monolayers by Bound State in the Continuum","volume":"15","author":"Huang","year":"2021","journal-title":"Laser Photonics Rev."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"177401","DOI":"10.1103\/PhysRevLett.124.177401","article-title":"Polaron Photoconductivity in the Weak and Strong Light-Matter Coupling Regime","volume":"124","author":"Krainova","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"25001","DOI":"10.1209\/0295-5075\/ace2e8","article-title":"Bose-Einstein condensates with Raman-induced spin-orbit coupling: An overview","volume":"143","author":"Martone","year":"2023","journal-title":"Europhys. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1186\/s43074-022-00049-1","article-title":"Ultrafast modulation of valley dynamics in multiple WS2\u2013Ag gratings strong coupling system","volume":"3","author":"Zhao","year":"2022","journal-title":"PhotoniX"},{"key":"ref_10","unstructured":"Laitz, M.R. (2022). Light-Matter Interactions in High-Efficiency Photovoltaics, Light-Emitting Devices, and Strongly Coupled Microcavities, Massachusetts Institute of Technology."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Fu, L., Lin, C.T., Karimi-Maleh, H., Chen, F., and Zhao, S. (2023). Plasmonic Nanoparticle-Enhanced Optical Techniques for Cancer Biomarker Sensing. Biosensors, 13.","DOI":"10.3390\/bios13110977"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2104","DOI":"10.1021\/nl200689z","article-title":"Strong coupling between nanoscale metamaterials and phonons","volume":"11","author":"Shelton","year":"2011","journal-title":"Nano Lett."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"21192","DOI":"10.1364\/OE.397725","article-title":"Plasmon-phonon coupling between mid-infrared chiral metasurfaces and molecular vibrations","volume":"28","author":"Mahmud","year":"2020","journal-title":"Opt. Express"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"4524","DOI":"10.1364\/OL.469491","article-title":"Epsilon-near-zero substrate-enabled strong coupling between molecular vibrations and mid-infrared plasmons","volume":"47","author":"Ma","year":"2022","journal-title":"Opt. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1038\/nature17974","article-title":"Single-molecule strong coupling at room temperature in plasmonic nanocavities","volume":"535","author":"Chikkaraddy","year":"2016","journal-title":"Nature"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2715","DOI":"10.1038\/s41467-020-16524-x","article-title":"Ultrastrong coupling between nanoparticle plasmons and cavity photons at ambient conditions","volume":"11","author":"Baranov","year":"2020","journal-title":"Nat. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1016\/j.carbon.2019.01.058","article-title":"Investigation of strong multimode interaction in a graphene-based hybrid coupled plasmonic system","volume":"145","author":"Qing","year":"2019","journal-title":"Carbon"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2884","DOI":"10.1021\/acsphotonics.9b00956","article-title":"Theoretical Analysis of Tunable Multimode Coupling in a Grating-Assisted Double-Layer Graphene Plasmonic System","volume":"6","author":"Qing","year":"2019","journal-title":"ACS Photonics"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"13901","DOI":"10.1088\/0034-4885\/78\/1\/013901","article-title":"Strong coupling between surface plasmon polaritons and emitters: A review","volume":"78","author":"Barnes","year":"2015","journal-title":"Rep. Prog. Phys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"12367","DOI":"10.1364\/OE.24.012367","article-title":"Strong coupling between mid-infrared localized plasmons and phonons","volume":"24","author":"Wan","year":"2016","journal-title":"Opt. Express"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3573","DOI":"10.1364\/JOSAB.36.003573","article-title":"Ultra-broadband electromagnetic wave absorber based on split-ring resonators","volume":"36","author":"Wu","year":"2019","journal-title":"J. Opt. Soc. Am. B"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"21155","DOI":"10.1364\/OE.19.021155","article-title":"An extremely broad band metamaterial absorber based on destructive interference","volume":"19","author":"Sun","year":"2011","journal-title":"Opt. Express"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"2016","DOI":"10.1021\/acs.nanolett.1c04776","article-title":"Ultrafast and Low-Threshold THz Mode Switching of Two-Dimensional Nonlinear Metamaterials","volume":"22","author":"Kang","year":"2022","journal-title":"Nano Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"6351","DOI":"10.1021\/acs.nanolett.0c01752","article-title":"Bound States in the Continuum in Anisotropic Plasmonic Metasurfaces","volume":"20","author":"Liang","year":"2020","journal-title":"Nano Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/s10470-019-01580-1","article-title":"Compact wideband band-stop filter using stepped complementary split ring resonators","volume":"102","author":"Munirathinam","year":"2020","journal-title":"Analog. Integr. Circuits Signal Process."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1515\/freq-2019-0194","article-title":"Design of Compact Highpass Filter for 5G mm-wave Applications Using Complementary Split Ring Resonator","volume":"74","author":"Ramanujam","year":"2020","journal-title":"Frequenz"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Lahiri, B., Mcmeekin, S.G., Khokhar, A.Z., De La Rue, R.M., and Johnson, N.P. (July, January 28). Asymmetric split ring resonators for organic sensing. Proceedings of the 2009 11th International Conference on Transparent Optical Networks, Ponta Delgada, Portugal.","DOI":"10.1109\/ICTON.2009.5185094"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"4221","DOI":"10.1515\/nanoph-2022-0311","article-title":"Strong coupling between quasi-bound states in the continuum and molecular vibrations in the mid-infrared","volume":"11","author":"Sun","year":"2022","journal-title":"Nanophotonics"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"27563","DOI":"10.1364\/OE.24.027563","article-title":"Optical force enhancement and annular trapping by plasmonic toroidal resonance in a double-disk metastructure","volume":"24","author":"Jin","year":"2016","journal-title":"Opt. Express"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"9726","DOI":"10.1038\/srep09726","article-title":"Plasmon coupling in vertical split-ring resonator metamolecules","volume":"5","author":"Wu","year":"2015","journal-title":"Sci. Rep."},{"key":"ref_31","first-page":"114680V","article-title":"Enhanced mid-infrared molecular sensing with single silicon antennas","volume":"Volume 11468","author":"Fang","year":"2020","journal-title":"Enhanced Spectroscopies and Nanoimaging"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"045434","DOI":"10.1103\/PhysRevB.85.045434","article-title":"Gap-plasmon nanoantennas and bowtie resonators","volume":"85","author":"Gramotnev","year":"2012","journal-title":"Phys. Rev. B Condens. Matter Mater. Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"013504","DOI":"10.1103\/PhysRevA.109.013504","article-title":"Manipulating the interaction between propagating surface plasmons and localized magnetic polaritons in a borophene-based hybrid system","volume":"109","author":"Qing","year":"2024","journal-title":"Phys. Rev. A"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1139","DOI":"10.1021\/ac202855a","article-title":"Resonance quenching and guided modes arising from the coupling of surface plasmons with a molecular resonance","volume":"84","author":"Yeh","year":"2012","journal-title":"Anal. Chem."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/8\/2479\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:27:02Z","timestamp":1760106422000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/8\/2479"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,12]]},"references-count":34,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2024,4]]}},"alternative-id":["s24082479"],"URL":"https:\/\/doi.org\/10.3390\/s24082479","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,12]]}}}