The discrete sources method is used in the framework of the generalized nonlocal optical response theory (GNOR) to construct a mathematical model of a layered magnetite-Au nanoparticle allowing for the spatial dispersion in the gold shell. We analyze the additional boundary conditions on the magnetite-Au interface that ensure unique solvability of the boundary-value diffraction problem. We investigate the effect of spatial dispersion on the field enhancement factor at the exterior boundary of the layered particle, allowing also for possible asymmetry in the position of the core relative to the shell.
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References
M. Pelton and G. Bryant, Introduction to Metal-Nanoparticle Plasmonics, Wiley, New York (2013).
L. Peixoto, R. Magalhães, D. Navas, et al., “Magnetic nanostructures for emerging biomedical applications,” Appl. Phys. Rev., 7, 011310 (2020).
P. K. Kalambate, Dhanjai, Z. Huang, Y. Li, et al., “Core@shell nanomaterial-based sensing devices, A review,” Trends Anal. Chem., 115, 147–161 (2019).
Z. Fattahi, A. Y. Khosroushahi, and M. Hasanzadeh, “Recent progress on developing of plasmon biosensing of tumor biomarkers, Efficient method towards early stage recognition of cancer,” Biomedicine & Pharmacotherapy, 132, 1108500 (2020).
X. Wang, H. Li, and G. Chen, “6-Core-shell nanoparticles for cancer imaging and therapy,” in: Core-Shell Nanostructures for Drug Delivery and Theranostics, 143–175 (2018).
G. Brennan, S. Bergamino, M. Pescio, et al., “The effects of a varied gold shell thickness on iron oxide nanoparticle cores in magnetic manipulation, T1 and T2 MRI contrasting, and magnetic hyperthermia,” Nanomaterials, 10, 2424 (2020).
S. Rajkumar and M. Prabaharan, “Multi-functional core-shell Fe3O4@Au nanoparticles for cancer diagnosis and therapy,” Colloids and Surfaces B, Biointerfaces, 174, 252–259 (2019).
M. A. Dhey, A. A. Aziz, M. S. Jameel, et al., “Mechanisms of effective gold shell on Fe3O4 core nanoparticles formation using sonochemistry method,” Ultrasonics — Sonochemistry, 64, 104865 (2020).
C. David and F. J. García de Abajo, “Spatial nonlocality in the optical response of metal nanoparticles,” J. Phys. Chem. C, 115, 19470–19475 (2011).
M. Barbry, P. Koval, F. Marchesin, R. Esteban, et al., “Atomistic near-field nanoplasmonics, reaching atomic-scale resolution in nanooptics,” Nano Lett., 15, 3410–3419 (2015).
M. Kupresak, X. Zheng, G. A. E. Vandenbosch, and V. V. Moshchalkov, “Appropriate nonlocal hydrodynamic models for the characterization of deep-nanometer scale plasmonic scatterers,” Adv. Theory Simul., 3, 1900172 (2019).
C. Ciraci, J. B. Pendry, and D. R. Smith, “Hydrodynamic model for plasmonics, a macroscopic approach to a microscopic problem,” Chem. Phys. Chem., 14, 1109–1116 (2013).
N. A. Mortensen, S. Raza, M. Wubs, et al., “A generalized non-local optical response theory for plasmonic nanostructures,” Nat. Commun., 5, 3809–3815 (2014).
Yu. A. Eremin and A. G. Sveshnikov, “Quasi-classical models in quantum nanoplasmonics based on the discrete sources method,” Zh. Vychisl. Mat. i Matem. Fiz., 61, 34–62 (2021).
Yu. Eremin, A. Doicu, and T. Wriedt, “Discrete sources method for modeling the nonlocal optical response of a nonspherical particle dimer,” JQSRT, 217, 35–44 (2018).
M. Wubs and A. Mortensen, “Nonlocal response in plasmonic nanostructures. Quantum plasmonics,” in: Quantum Plasmonics, S. Bozhevolnyi et al. (eds.), Springer, Switzerland (2017), pp. 279–302.
J. R. Maack, N. A. Mortensen, and M. Wubs, “Size-dependent nonlocal effects in plasmonic semiconductor particles,” Europhys. Lett., 119, No. 1, 17003 (2017).
D. Colton and R. Kress, Integral Equation Methods in Scattering Theory [Russian translation], Mir, Moscow (1987).
N. S. Bakhvalov, Numerical Methods [in Russian], Nauka, Moscow (1973).
Y. Eremin, A. Doicu, and T. Wriedt, “Numerical method for analyzing the near-field enhancement of nonspherical dielectric-core metallic-shell particles accounting for the nonlocal dispersion,” J. Opt. Soc. Am. A, 37 (2020).
Refractive Index Database, https://refractiveindex.info.
P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B, 6, 4370–4379 (1972).
S. Golovynskyi, I. Golovynska, L. I. Stepanova, O. I. Datsenko, L. Liu, J. Qu, and T. Y. Ohulchanskyy, “Optical windows for head tissues in near-infrared and short-wave infrared regions: Approaching transcranial light applications, J. Biophotonics, 11, e201800141 (2018).
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Translated from Prikladnaya Matematika i Informatika, No. 69, 2022, pp. 36–45.
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Eremin, Y.A., Lopushenko, V.V. The Effect of Spatial Dispersion on the Field Enhancement Factor of Magnetoplasmonic Nanoparticles. Comput Math Model 33, 32–40 (2022). https://doi.org/10.1007/s10598-022-09554-1
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DOI: https://doi.org/10.1007/s10598-022-09554-1