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Optical and Quantum Electronics

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01.12.2023

Nonlocal response of planar plasmonic layers

verfasst von: Milan Burda, Ivan Richter, Pavel Kwiecien

Erschienen in: Optical and Quantum Electronics | Ausgabe 14/2023

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Abstract

Nonlocal interactions of plasmonic nanostructures are currently being intensively investigated. It is generally accepted that nonlocal interactions are most pronounced on structures with nanometer unit sizes and affect the shape of spectral functions of characterizing quantities in the resonance region. Numerical analysis of nonlocal phenomena is very complicated and it is advantageous to use it for the analysis of geometrically more complex structures. For some simple structures it is possible to find analytical solutions which can then be used, among other purposes, to build semi-analytical approaches for the analysis of some more complex structures. This article is focused on the efficient description of nonlocal manifestations of the planar plasmonic layers using a hydrodynamic model. The originality is particulary focused on the extension from the single nonlocal layer towards the more general case of two adjacent nonlocal layers (bilayers). The results for both single layer and bilayer case are presented and discussed in detail. Also, one of the here presented important technical results is the novel presentation of the transfer matrices for the nonzero normal component of the current densities at the interfaces of the plasmonic layer.

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Acquaroli, L.N.: Matrix method for thin film optics. arXiv:1809.07708 [physics] (2018)

Baghramyan, H.M., Della Sala, F., Ciracì, C.: Laplacian-level quantum hydrodynamic theory for plasmonics. Phys. Rev. X 11(1), 1–20 (2021). https://doi.org/10.1103/PhysRevX.11.011049CrossRef

Bang, S., So, S., Rho, J.: Realization of broadband negative refraction in visible range using vertically stacked hyperbolic metamaterials. Sci. Rep. 9(1), 1–7 (2019). https://doi.org/10.1038/s41598-019-50434-3CrossRef

Barchiesi, D., Gharbi, T., Cakir, D., Anglaret, E., Fréty, N., Kessentini, S., Maâlej, R.: Performance of surface plasmon resonance sensors using copper/copper oxide films: influence of thicknesses and optical properties. Photonics 9(2), 1–33 (2022). https://doi.org/10.3390/photonics9020104CrossRef

Benedicto, J., Pollès, R., Ciracì, C., Centeno, E., Smith, D.R., Moreau, A.: Numerical tool to take nonlocal effects into account in metallo-dielectric multilayers. J. Opt. Soc. Am. A 32(8), 1581–1588 (2015). https://doi.org/10.1364/JOSAA.32.001581ADSCrossRef

Born, M., Wolf, E., Bhatia, A.B.: Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, Seventh (expanded), anniversary Cambridge University Press, Cambridge (2019)CrossRef

Chilwell, J., Hodgkinson, I.: Thin-films field-transfer matrix theory of planar multilayer waveguides and reflection from prism-loaded waveguides. J. Opt. Soc. Am. A 1(7), 742–753 (1984). https://doi.org/10.1364/JOSAA.1.000742ADSCrossRef

Ciracì, C., Della Sala, F.: Quantum hydrodynamic theory for plasmonics: impact of the electron density tail. Phys. Rev. B 93(20), 1–14 (2016). https://doi.org/10.1103/PhysRevB.93.205405CrossRef

David, C., García De Abajo, F.J.: Spatial nonlocality in the optical response of metal nanoparticles. J. Phys. Chem. C 115(40), 19470–19475 (2011). https://doi.org/10.1021/jp204261u

David, C., García de Abajo, F.J.: Spatial nonlocality in the optical response of metal nanoparticles. J. Phys. Chem. C 115(40), 19470–19475 (2011). https://doi.org/10.1021/jp204261u

David, C., Mortensen, N.A., Christensen, J.: Perfect imaging, epsilon-near zero phenomena and waveguiding in the scope of nonlocal effects. Sci. Rep. 3(1), 1–7 (2013). https://doi.org/10.1038/srep02526CrossRef

Feis, J., Mnasri, K., Khrabustovskyi, A., Stohrer, C., Plum, M., Rockstuhl, C.: Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B 98(11), 1–7 (2018). https://doi.org/10.1103/PhysRevB.98.115409CrossRef

Ginzburg, P., Zayats, A.V.: Localized surface plasmon resonances in spatially dispersive nano-objects: phenomenological treatise. ACS Nano 7(5), 4334–4342 (2013). https://doi.org/10.1021/nn400842mCrossRef

Golestanizadeh, T., Zarifi, A., Jalali, T., Maack, J.R., Wubs, M.: Hydrodynamic acoustic plasmon resonances in semiconductor nanowires and their dimers. J. Opt. Soc. Am. B 36(10), 1–9 (2019). https://doi.org/10.1364/JOSAB.36.002712CrossRef

Guo, Z., Jiang, H., Chen, H.: Hyperbolic metamaterials: from dispersion manipulation to applications. J. Appl. Phys. 127(7), 1–28 (2020). https://doi.org/10.1063/1.5128679CrossRef

Hiremath, K.R., Zschiedrich, L., Schmidt, F.: Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nédélec finite elements. J. Comput. Phys. 231(17), 5890–5896 (2012). https://doi.org/10.1016/j.jcp.2012.05.013ADSCrossRef

Jakoby, B.: The relation between relaxation time, mean free path, collision time and drift velocity-pitfalls and a proposal for an approach illustrating the essentials. Eur. J. Phys. 30(1), 1–12 (2009). https://doi.org/10.1088/0143-0807/30/1/001CrossRefMATH

Ketterson, J.B.: The Physics of Solids, 1st edn. Oxford University Press, Oxford (2016). OCLC: ocn928778036

Li, T., Khurgin, J.B.: Hyperbolic metamaterials: beyond the effective medium theory. Optica 3(12), 1388–1396 (2016). https://doi.org/10.1364/OPTICA.3.001388ADSCrossRef

Li, X., Fang, H., Weng, X., Zhang, L., Dou, X., Yang, A., Yuan, X.: Electronic spill-out induced spectral broadening in quantum hydrodynamic nanoplasmonics. Opt. Express 23(23), 29738–29745 (2015). https://doi.org/10.1364/OE.23.029738ADSCrossRef

Macleod, H.A.: Thin-film Optical Filters, 3rd edn. Institute of Physics Publishers, Bristol (2001)

Maier, S.A.: Plasmonics: Fundamentals and Applications. Springer, New York (2010)

Moreau, A., Ciracì, C., Smith, D.R.: Impact of nonlocal response on metallodielectric multilayers and optical patch antennas. Phys. Rev. B 87(4), 1–11 (2013). https://doi.org/10.1103/PhysRevB.87.045401CrossRef

Mortensen, N.A.: Nonlocal formalism for nanoplasmonics: phenomenological and semi-classical considerations. Photonics Nanostruct. Fundam. Appl. 11(4), 303–309 (2013). https://doi.org/10.1016/j.photonics.2013.06.002ADSCrossRef

Mortensen, N.A.: Mesoscopic electrodynamics at metal surfaces: from quantum-corrected hydrodynamics to microscopic surface-response formalism. Nanophotonics 10(10), 2563–2616 (2021). https://doi.org/10.1515/nanoph-2021-0156CrossRef

Mortensen, N.A., Raza, S., Wubs, M., Søndergaard, T., Bozhevolnyi, S.I.: A generalized non-local optical response theory for plasmonic nanostructures. Nat. Commun. 5(1), 1–7 (2014). https://doi.org/10.1038/ncomms4809CrossRef

Mortensen, N.A., Gonçalves, P.A.D., Shuklin, F.A., Cox, J.D., Tserkezis, C., Ichikawa, M., Wolff, C.: Surface-response functions obtained from equilibrium electron-density profiles. Nanophotonics 10(14), 3647–3657 (2021). https://doi.org/10.1515/nanoph-2021-0084CrossRef

Nguyen, H., Park, J., Kang, S., Kim, M.: Surface plasmon resonance: a versatile technique for biosensor applications. Sensors 15(5), 10481–10510 (2015). https://doi.org/10.3390/s150510481ADSCrossRef

Palik, E.D.: Handbook of Optical Constants of Solids. Academic Press Handbook Series. Academic Press, Orlando (1985)

Pitelet, A., Mallet, E., Ajib, R., Lemaître, C., Centeno, E., Moreau, A.: Plasmonic enhancement of spatial dispersion effects in prism coupler experiments. Phys. Rev. B 98(12), 1–5 (2018). https://doi.org/10.1103/PhysRevB.98.125418CrossRef

Poddubny, A., Iorsh, I., Belov, P., Kivshar, Y.: Hyperbolic metamaterials. Nat. Photonics 7(12), 948–957 (2013). https://doi.org/10.1038/nphoton.2013.243ADSCrossRef

Raza, S., Toscano, G., Jauho, A.-P., Wubs, M., Mortensen, N.A.: Unusual resonances in nanoplasmonic structures due to nonlocal response. Phys. Rev. B 84(12), 1–4 (2011). https://doi.org/10.1103/PhysRevB.84.121412CrossRef

Raza, S., Christensen, T., Wubs, M., Bozhevolnyi, S.I., Mortensen, N.A.: Nonlocal response in thin-film waveguides: loss versus nonlocality and breaking of complementarity. Phys. Rev. B 88(11), 1–9 (2013). https://doi.org/10.1103/PhysRevB.88.115401CrossRef

Raza, S., Bozhevolnyi, S.I., Wubs, M., Asger Mortensen, N.: Nonlocal optical response in metallic nanostructures. J. Phys.: Condens. Matter 27(18), 1–17 (2015). https://doi.org/10.1088/0953-8984/27/18/183204CrossRef

Roh, S., Chung, T., Lee, B.: Overview of the characteristics of micro-and nano-structured surface plasmon resonance sensors. Sensors 11(2), 1565–1588 (2011)ADSCrossRef

Skjølstrup, E.J.H., Søndergaard, T., Pedersen, T.G.: Quantum spill-out in few-nanometer metal gaps: effect on gap plasmons and reflectance from ultrasharp groove arrays. Phys. Rev. B 97(11), 1–9 (2018). https://doi.org/10.1103/PhysRevB.97.115429ADSCrossRef

Solis-Tinoco, V., Acevedo-Barrera, A., Vazquez-Estrada, O., Munguia-Cervantes, J., Hernandez-Como, N., Olguin, Luis. F., Garcia-Valenzuela, A.: Fast and accurate optical determination of gold-nanofilms thickness. Opt. Laser Technol. 134, 1–11 (2021). https://doi.org/10.1016/j.optlastec.2020.106604

Svendsen, M.K., Wolff, C., Jauho, A.-P., Mortensen, N.A., Tserkezis, C.: Role of diffusive surface scattering in nonlocal plasmonics. J. Phys.: Condens. Matter 32(39), 1–9 (2020). https://doi.org/10.1088/1361-648X/ab977dCrossRef

Taghizadeh, A., Pedersen, T.G.: Plasmons in ultra-thin gold slabs with quantum spill-out: Fourier modal method, perturbative approach, and analytical model. Opt. Express 27(25), 36941–36952 (2019). https://doi.org/10.1364/OE.27.036941ADSCrossRef

Toscano, G., Raza, S., Jauho, A.-P., Mortensen, N.A., Wubs, M.: Modified field enhancement and extinction by plasmonic nanowire dimers due to nonlocal response. Opt. Express 20(4), 4176–4188 (2012). https://doi.org/10.1364/OE.20.004176ADSCrossRef

Toscano, G., Raza, S., Yan, W., Jeppesen, C., Xiao, S., Wubs, M., Jauho, A.-P., Bozhevolnyi, S.I., Mortensen, N.A.: Nonlocal response in plasmonic waveguiding with extreme light confinement. Nanophotonics 2(3), 161–166 (2013). https://doi.org/10.1515/nanoph-2013-0014ADSCrossRef

Toscano, G., Straubel, J., Kwiatkowski, A., Rockstuhl, C., Evers, F., Xu, H., Asger Mortensen, N., Wubs, M.: Resonance shifts and spill-out effects in self-consistent hydrodynamic nanoplasmonics. Nat. Commun. 6(1), 1–16 (2015). https://doi.org/10.1038/ncomms8132CrossRef

Uddin, S.M.A., Chowdhury, S.S., Kabir, E.: Numerical analysis of a highly sensitive surface plasmon resonance sensor for SARS-CoV-2 detection. Plasmonics 16(6), 2025–2037 (2021). https://doi.org/10.1007/s11468-021-01455-0CrossRef

Varas, A., García-González, P., Feist, J., García-Vidal, F.J., Rubio, A.: Quantum plasmonics: from jellium models to ab initio calculations. Nanophotonics 5(3), 409–426 (2016). https://doi.org/10.1515/nanoph-2015-0141CrossRef

Verhagen, E., de Waele, R., Kuipers, L., Polman, A.: Three-dimensional negative index of refraction at optical frequencies by coupling plasmonic waveguides. Phys. Rev. Lett. 105(22), 1–4 (2010). https://doi.org/10.1103/PhysRevLett.105.223901CrossRef

Wubs, M.: Classification of scalar and dyadic nonlocal optical response models. Opt. Express 23(24), 31296–31312 (2015). https://doi.org/10.1364/OE.23.031296ADSCrossRef

Xiao, Y., Li, J., Pan, T., Xu, G.: Impact of nonlocal response on surface plasmon polaritons in an asymmetrical structure: impact of nonlocal response on surface plasmon polaritons. Phys. Status Solidi (B) 252(1), 187–191 (2015). https://doi.org/10.1002/pssb.201451238

Xue, H.-J., Yu, Y., Wu, R.-L., Yu, Y.-Q., Wang, Y.-X.: Nonlocal effect in surface plasmon polariton of ultrathin metal films. Phys. B: Condens. Matter 472, 49–55 (2015). https://doi.org/10.1016/j.physb.2015.05.018ADSCrossRef

Yan, W.: Hydrodynamic theory for quantum plasmonics: linear-response dynamics of the inhomogeneous electron gas. Phys. Rev. B 91(11), 1–16 (2015). https://doi.org/10.1103/PhysRevB.91.115416CrossRef

Yan, W., Mortensen, N.A.: Nonclassical effects in plasmonics: an energy perspective to quantify nonclassical effects. Phys. Rev. B 93(11), 1–12 (2016). https://doi.org/10.1103/PhysRevB.93.115439CrossRef

Yang, H.U., D’Archangel, J., Sundheimer, M.L., Tucker, E., Boreman, G.D., Raschke, M.B.: Optical dielectric function of silver. Phys. Rev. B 91(23), 1–11 (2015). https://doi.org/10.1103/PhysRevB.91.235137CrossRef

Yang, H., Meng, X., Wu, S., Dadap, J.I., Osgood, R.M.: Numerical surface-corrected nonlocal electrodynamic model for nanophotonic structures. J. Opt. Soc. Am. B 35(6), 1442–1449 (2018). https://doi.org/10.1364/JOSAB.35.001442ADSCrossRef

Titel: Nonlocal response of planar plasmonic layers
verfasst von: Milan Burda
Ivan Richter
Pavel Kwiecien
Publikationsdatum: 01.12.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 14/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05573-3

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