Ele lectromagnetic ic mod odes in in arr arrays of of alu - PowerPoint PPT Presentation

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov 1,2 , A.E. Ershov 1,2 , R.G. Bikbaev 2,3 , S.P. Polyutov 2 , S.V. Karpov 2,3 1 Institute of Computational Modeling SB RAS, 660036, Krasnoyarsk, Russia 2 Siberian Federal University, 660041, Krasnoyarsk, Russia 3 L.V. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036, Krasnoyarsk, Russia Introduction Theory Results Conclusion References References References References L. Lin, Opt. Expr. 2015 N. Mahi, J of Phy.s Chem. 2017 D. Khlopin, et al. JOSAB 2017 A. B. Evlyukhin, et al. Phy. Rev. B 2012

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov, A.E. Ershov, R.G. Bikbaev, S.P. Polyutov, S.V. Karpov Introduction Theory Results Conclusion Main equations of generalized Mie theory Main equations of generalized Mie theory Sketch view of the square Al nanoparticles array. References G. Mie, Beitrage zur Optik truber Medien, speziell kolloidaler Met-allosungen, Annalen der Physik 330 (3) (1908) 377 – 445.

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov, A.E. Ershov, R.G. Bikbaev, S.P. Polyutov, S.V. Karpov Introduction Theory Results Conclusion Single Ag and Au nanoparticles Single Al nanoparticles Extinction efficiency decomposed in a set of spherical multipoles for The first order spherical multipoles components of extinction single aluminum nanospheres of different radii R and wavelengths of efficiency for single Ag and Au spherical nanoparticles of incident light. different radii R and wavelengths of incident light.

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov, A.E. Ershov, R.G. Bikbaev, S.P. Polyutov, S.V. Karpov Introduction Theory Results Conclusion Single Al nanoparticle Array of Al nanoparticles Extinction spectra of the infinite (left) and 30x30 (right) arrays of Al NPs Extinction efficiency decomposed in a set of spherical multipoles for square with h =290 nm for different values of R calculated by FDTD and array consisting of Al NPs of different radii R and wavelengths of incidence generalized Mie theory, respectively. White dashed line represent the light (a,b,c) are for the electrical field component while (d,e,f) are for different orders of the Rayleigh anomalies and white dots line represent magnetic field component. The array period is 290 nm. White dash lines the position of corresponding mode resonance. represents the Rayleigh anomalies.

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov, A.E. Ershov, R.G. Bikbaev, S.P. Polyutov, S.V. Karpov Introduction Theory Results Conclusion Field distribution R = 60 nm Field distribution R = 110 nm The configuration of electric (a,c) and magnetic (b,d) fields at 435 and The configuration of electric (a,d) and magnetic (b,c) 480 nm, respectively for R =60 nm and h =290 nm. fields at 439 and 463 nm, respectively for R =110 nm and h =290 nm.

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov, A.E. Ershov, R.G. Bikbaev, S.P. Polyutov, S.V. Karpov Introduction Theory Results Conclusion Lattice Kerker effect Tailoring Figures, text etc (a),(f) Reflectance spectra, and (b)-(e), (g)-(j) multipole (ED, MQ, MD, EQ) decomposition of extinction efficiency for arrays with fixed h x =240 nm and different h y (top), and with fixed h y = 280 nm and different h x (bottom). Al NPs with radius R =60 nm have been considered in all cases. Notice a suppression of reflection which follows [0;1] RA. Multipole decomposition of (a) Reflectance for arrays with different geometrical parameters ( R , h x , the extinction efficiency is calculated from the spatial electromagnetic field distribution as h y ) as marked in the legend. Vertical dashed lines show respective described in [A.B. Evlyukhin, et.al. Phys. Rev. B84,235429 (2011)]. spectral positions of [1;0] and [0;1] RAs for each array. (b) Electric field distribution in the ZY plane for (60, 240, 280) array at  =417.6 nm (top, References maximum reflectance) and  = 420.5 nm (bottom, zero reflectance). Submitted to PRL

Ele lectromagnetic ic mod odes in in arr arrays of of alu alumin inum nan anoparticles V.S. Gerasimov, A.E. Ershov, R.G. Bikbaev, S.P. Polyutov, S.V. Karpov Introduction Theory Results Conclusion 1. To conclude, the extinction spectra of the single aluminum nanoparticles and nanoparticle arrays vs the particle radius have been investigated. It was shown that for single nanoparticles an increase of their radius leads to a sequential excitation and decay of electric and magnetic modes 2. The spectral manifestations of hybrid modes are the formation of narrow lines in the extinction spectra and the corresponding hybrid configurations of the electromagnetic field. The feature here is that the each mode of both electric and magnetic fields interact with the Rayleigh anomalies of different orders. As the result we observe the increased extinction efficiency in the vicinity of the Rayleigh anomalies. This effect can be used to control the spectral position of the extinction maximum. 3. We have demonstrated the lattice Kerker effect in plasmonic arrays of Al nanoparticles, whereas for single lossy NPs it is in principle impossible to achieve.