Abstract
Based on the discrete sources method, a mathematical model of the plasmon nanolaser resonator deposited on the prism surface in an active ambient medium is developed and implemented, which allows taking into account the non-local effect (NLE) in the plasmon material. The resonator’s characteristics are optimized, which makes it possible to obtain a field enhancement on the external surface of the resonator by more than two orders of magnitude. The influence of the NLE on the enhancement in the spectral wavelength range is investigated. It is shown that accounting for the NLE leads to a significant decrease in the near-field intensity.
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REFERENCES
M. S. Tame, K. R. McEnery, Ş. K. Özdemir et al., “Quantum plasmonics,” Nature Phys. 9 (6), 329–340 (2013).
M. I. Stockman, K. Kneipp, S. I. Bozhevolnyi et al., “Roadmap on plasmonics,” J. Opt. 20 (4), 043001 (2018).
D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4 (2), 83–91 (2010).
D. Xu, X. Xiong, L. Wu et al., “Quantum plasmonics: New opportunity in fundamental and applied photonics,” Adv. Opt. Photonics 10 (4), 703–756 (2018).
D. J. Bergman and M. I. Stockman, “Surface plasmon amplification by stimulated emission of radiation: Quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett. 90 (2), 027402 (2003).
M. A. Noginov, G. Zhu, A. M. Belgrave et al., “Demonstration of a spaser-based nanolaser,” Nature 460 (7259), 1110–1112 (2009).
M. Premaratne and M. I. Stockman, “Theory and technology of SPASERs,” Adv. Opt. Photonics 9 (1), 79–128 (2017).
V. I. Balykin, “Plasmon nanolaser: Current state and prospects,” Phys.-Usp. 61 (9), 846–870 (2018).
H.-P. Solowan and C. Kryschi, “Facile design of a plasmonic nanolaser,” Condens. Matter 2 (1), 8, 1–7 (2017).
M. B. Gawande, A. Goswami, T. Asefa et al., “Core-shell nanoparticles: Synthesis and applications in catalysis and electrocatalysis,” Chem. Soc. Rev. 44 (21), 7540–7590 (2015).
H.-P. Feng, L. Tang L., G.-M. Zeng et al., “Core-shell nanomaterials: Applications in energy storage and conversion,” Adv. Colloid Interface Sci. 267, 26–46 (2019).
P. K. Kalambate, Dhanjai, Z. Huang et al., “Core-shell nanomaterials based sensing devices: A review,” TrAC Trends Anal. Chem. 115, 147–161 (2019).
P. Yu, Y. Yao, J. Wu et al., “Effects of plasmonic metal core-dielectric shell nanoparticles on the broadband light absorption enhancement in thin film solar cells,” Sci. Rep. 7, Article 7696, 1–10 (2017).
Z. Izadiyan, K. Shameli, M. Miyake et al., “Green fabrication of biologically active magnetic core-shell Fe3O4/Au nanoparticles and their potential anticancer effect,” Mater. Sci. Eng. C 96, 51–57 (2019).
G. Toscano, J. Straubel, A. Kwiatkowski et al., “Resonance shifts and spill-out effects in self-consistent hydrodynamic nanoplasmonics,” Nat. Commun. 6, Article 7132, 1–11 (2015).
N. A. Mortensen, S. Raza, M. Wubs et al., “A generalized non-local optical response theory for plasmonic nanostructures,” Nat. Commun. 5, Article 3809, 1–7 (2014).
M. Barbry, P. Koval, F. Marchesin, R. Esteban et al., “Atomistic near-field nanoplasmonics: Reaching atomic-scale resolution in nanooptics,” Nano Lett. 15 (5), 3410–3419 (2015).
M. Wubs and N. A. Mortensen, “Nonlocal response in plasmonic nanostructures,” in Quantum Plasmonics, Ed. by S. I. Bozhevolnyi et al., Springer Series in Solid-State Sciences (Springer, Cham, 2017), Vol. 185, pp. 279–302.
Yu. A. Eremin and A. G. Sveshnikov, “Analysis of the influence of the nonlocality effect on the characteristics of plasmon nanolaser resonators via the discrete sources method,” Moscow Univ. Phys. Bull. 74 (3), 262–268 (2019).
C. Jerez-Hanckes and J.-C. Nédélec, “Asymptotics for Helmholtz and Maxwell solutions in 3-D open waveguides,” Research Report No. 2010-07 (ETH, Swiss Federal Institute of Technology Zurich, February 2010); Commun. Comput. Phys. 11 (2), 629–646 (2012).
Yu. A. Eremin and A. G. Sveshnikov, “Influence of non-local effect on the scattering properties of nonspherical plasmonic nanoparticles on a substrate,” Math. Models Comput. Simul. 10 (6), 730–740 (2018).
Yu. A. Eremin and A. G. Sveshnikov, “Near field formation via colloid particles in problems of nanoprocessing silicon substrates,” Math. Models Comput. Simul. 10 (1), 36–44 (2018).
Refractive Index Database. http://www.refractiveindex.info
Yu. A. Eremin and A. G. Sveshnikov, “Discrete sources method for the study of influence nonlocality on characteristics of the plasmonic nanolaser resonators,” Comput. Math. Math. Phys. 59 (12), 2164–2172 (2019).
E. Eremina, Y. Eremin, and T. Wriedt, “Computational nano-optic technology based on discrete sources method,” J. Modern Opt. 58 (5–6), 384–399 (2011).
Yu. A. Eremin and N. V. Grishina, “Modeling of nanoshells spectra in evanescent wave field via discrete sources method,” J. Quant. Spectrosc. Radiat. Transfer 100 (1–3), 122–130 (2006).
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Eremin, Y.A., Sveshnikov, A.G. Mathematical Model of Plasmon Nanolaser Resonator Taking the Non-Local Effect into Account. Math Models Comput Simul 13, 466–473 (2021). https://doi.org/10.1134/S2070048221030054
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DOI: https://doi.org/10.1134/S2070048221030054