{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T12:37:37Z","timestamp":1773664657663,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,7]],"date-time":"2022-01-07T00:00:00Z","timestamp":1641513600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research","doi-asserted-by":"publisher","award":["20-02-00211"],"award-info":[{"award-number":["20-02-00211"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>We calculate the light transmission by a subwavelength plasmonic array using the boundary element method for parallel cylinders with different cross-sections: circular or elliptic with axis ratio 4:1. We demonstrate that plasmonic resonance is sharper for the case of horizontal ellipses. This structure is susceptible to refractive index variations in the media since the high derivatives of reflection and transmission coefficients are near the angle of total internal reflection. To obtain an approximate analytical expression, we used the model of a metallic layer. We explore the \u201csandwich\u201d structure with an anisotropic film between two dielectrics and demonstrate its quantitative agreement with numerical results.<\/jats:p>","DOI":"10.3390\/s22020449","type":"journal-article","created":{"date-parts":[[2022,1,9]],"date-time":"2022-01-09T23:08:26Z","timestamp":1641769706000},"page":"449","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Light Scattering by a Subwavelength Plasmonic Array: Anisotropic Model"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0220-108X","authenticated-orcid":false,"given":"Anton","family":"Nemykin","sequence":"first","affiliation":[{"name":"Institute of Automation and Electrometry, Russian Academy of Sciences, Siberian Branch, 1 Koptjug Ave, 630090 Novosibirsk, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0179-3036","authenticated-orcid":false,"given":"Leonid","family":"Frumin","sequence":"additional","affiliation":[{"name":"Institute of Automation and Electrometry, Russian Academy of Sciences, Siberian Branch, 1 Koptjug Ave, 630090 Novosibirsk, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1116-7298","authenticated-orcid":false,"given":"David","family":"Shapiro","sequence":"additional","affiliation":[{"name":"Institute of Automation and Electrometry, Russian Academy of Sciences, Siberian Branch, 1 Koptjug Ave, 630090 Novosibirsk, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/j.physrep.2004.11.001","article-title":"Nano-optics of surface plasmon polaritons","volume":"408","author":"Zayats","year":"2005","journal-title":"Phys. Rep."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"e179","DOI":"10.1038\/lsa.2014.60","article-title":"Light scattering and surface plasmons on small spherical particles","volume":"3","author":"Fan","year":"2014","journal-title":"Light Sci. Appl."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1007\/s11051-010-0058-4","article-title":"A comparative study of solid-silver and silver-shell nanodimers on surface plasmon resonances","volume":"13","author":"Chau","year":"2011","journal-title":"J. Nanoparticle Res."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Chou Chau, Y.F., Chou Chao, C.T., Huang, H.J., Kooh, M.R.R., Kumara, N., Lim, C.M., and Chiang, H.P. (2020). Perfect dual-band absorber based on plasmonic effect with the cross-hair\/nanorod combination. Nanomaterials, 10.","DOI":"10.3390\/nano10030493"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.optlastec.2017.11.015","article-title":"Recent advances in surface plasmon resonance based fiber optic chemical and biosensors utilizing bulk and nanostructures","volume":"101","author":"Gupta","year":"2018","journal-title":"Opt. Laser Technol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1801433","DOI":"10.1002\/adom.201801433","article-title":"Optical refractive index sensors with plasmonic and photonic structures: Promising and inconvenient truth","volume":"7","author":"Xu","year":"2019","journal-title":"Adv. Opt. Mater."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"111505","DOI":"10.1016\/j.bios.2019.111505","article-title":"Current status of optical fiber biosensor based on surface plasmon resonance","volume":"142","author":"Zhao","year":"2019","journal-title":"Biosens. Bioelectron."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1038\/nature12664","article-title":"Demonstration of electron acceleration in a laser-driven dielectric microstructure","volume":"503","author":"Peralta","year":"2013","journal-title":"Nature"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.2514\/1.A33155","article-title":"Plasmonic force space propulsion","volume":"52","author":"Rovey","year":"2015","journal-title":"J. Spacecr. Rocket."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1126\/science.1089171","article-title":"A hybridization model for the plasmon response of complex nanostructures","volume":"302","author":"Prodan","year":"2003","journal-title":"Science"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11051-013-1424-9","article-title":"Structurally and materially sensitive hybrid surface plasmon modes in periodic silver-shell nanopearl and its dimer arrays","volume":"15","author":"Chau","year":"2013","journal-title":"J. Nanoparticle Res."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"114010","DOI":"10.1088\/2040-8978\/14\/11\/114010","article-title":"Tunable plasmonic resonance arising from broken-symmetric silver nanobeads with dielectric cores","volume":"14","author":"Ho","year":"2012","journal-title":"J. Opt."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1700237","DOI":"10.1002\/lpor.201700237","article-title":"Silicon photonics circuit design: Methods, tools and challenges","volume":"12","author":"Bogaerts","year":"2018","journal-title":"Laser Photonics Rev."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"26143","DOI":"10.1364\/OE.400382","article-title":"Sensitivity enhancement of plasmonic grating in the local field","volume":"28","author":"Frumin","year":"2020","journal-title":"Opt. Express"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"085002","DOI":"10.1088\/2040-8978\/15\/8\/085002","article-title":"Plasmons excited by an evanescent wave in a periodic array of nanowires","volume":"15","author":"Frumin","year":"2013","journal-title":"J. Opt."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1070\/QE2015v045n03ABEH015632","article-title":"Excitation of a plasmon resonance in metal cylinders by an evanescent wave","volume":"45","author":"Nemykin","year":"2015","journal-title":"Quantum Electron."},{"key":"ref_17","unstructured":"Palik, E.D. (1998). Handbook of Optical Constants of Solids, Academic Press."},{"key":"ref_18","unstructured":"Bohren, C.F., and Huffman, D.R. (2004). Absorption and Scattering of Light by Small Particles, Wiley."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1134\/S1063784206030017","article-title":"Boundary Integral Equation Method for Analysis of Light Scattering by 2D Nanoparticles","volume":"51","author":"Zymovetz","year":"2006","journal-title":"Tech. Phys."},{"key":"ref_20","first-page":"479","article-title":"On excitation of surface wave","volume":"21","author":"Kotkin","year":"1966","journal-title":"Phys. Met. Metallogr."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Raether, H. (1988). Surface Plasmons on Smooth and Rough Surfaces and on Gratings, Springer.","DOI":"10.1007\/BFb0048317"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.sna.2010.02.005","article-title":"Electromagnetic fields distribution in multilayer thin film structures and the origin of sensitivity enhancement in surface plasmon resonance sensors","volume":"159","author":"Shalabney","year":"2010","journal-title":"Sens. Actuators A Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1134\/S0030400X2102017X","article-title":"Spectral Characteristics of an Oblique-Incidence Reflection Interferometer as a Refractive Index Sensor","volume":"129","author":"Terentyev","year":"2021","journal-title":"Opt. Spectrosc."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"948","DOI":"10.1038\/nphoton.2013.243","article-title":"Hyperbolic metamaterials","volume":"7","author":"Poddubny","year":"2013","journal-title":"Nat. Photonics"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"063001","DOI":"10.1088\/2040-8978\/14\/6\/063001","article-title":"Quantum nanophotonics using hyperbolic metamaterials","volume":"14","author":"Cortes","year":"2012","journal-title":"J. Opt."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"044054","DOI":"10.1103\/PhysRevApplied.16.044054","article-title":"Sub-Diffraction-Limit Imaging System with two Interfacing Hyperbolic Metamaterials","volume":"16","author":"Bronnikov","year":"2021","journal-title":"Phys. Rev. Appl."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/2\/449\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T14:01:41Z","timestamp":1760364101000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/2\/449"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,7]]},"references-count":26,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2022,1]]}},"alternative-id":["s22020449"],"URL":"https:\/\/doi.org\/10.3390\/s22020449","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,7]]}}}