Oscillons, solitons and domain walls in arrays of nonlinear plasmonic nanoparticles

Noskov, Roman E.; Belov, Pavel A.; Kivshar, Yuri S.

doi:10.1038/srep00873

Cited by 31 publications

(35 citation statements)

References 46 publications

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“…22,23 Efficient SHG requires the presence of strong SHG sources, that is, nonlinear polarization currents oscillating at the second harmonic frequency, at the nanostructure surface as well as an efficient scattering of the SHG signal into the far-field. Several strategies have been developed to enhance SHG from metallic nanostructures including using multiple resonances at both the fundamental and the second harmonic wavelengths, 16 breaking the centrosymmetry using noncentrosymmetric nanostructures 20 and even enhancing the electric fields using nanogaps.…”

Section: * S Supporting Informationmentioning

confidence: 99%

Augmenting Second Harmonic Generation Using Fano Resonances in Plasmonic Systems

2013

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Significant augmentation of second harmonic generation using Fano resonances in plasmonic heptamers made of silver is theoretically and experimentally demonstrated. The geometry is engineered to simultaneously produce a Fano resonance at the fundamental wavelength, resulting in a strong localization of the fundamental field close to the system, and a higher order scattering peak at the second harmonic wavelength. These results illustrate the versatility of Fano resonant structures to engineer specific optical responses both in the linear and nonlinear regimes thus paving the way for future investigations on the role of dark modes in nonlinear and quantum optics. 1 One such property is the generation of hot spots, whose presence in nanostructures, such as optical antennae, is promising for applications in nonlinear optics, since they require a strong electric near-field.2 Recent studies have reported the observation of different nonlinear optical phenomena in such nanosystems, like, for example, second harmonic generation (SHG), 3 multiphoton luminescence, 4,5 third harmonic generation, 6,7 higher harmonic generation, 8 and four-wave mixing. 9 SHG is significantly dependent on the symmetry of both the material being used and the structure being studied and therefore is a sensitive tool for characterizing plasmonic structures.10−13 SHG from centrosymmetric materials is due to the breaking of inversion symmetry at their surfaces and is therefore used as a surface probe.14 In recent years, strong SHG has been observed in metallic nanostructures such as sharp metallic tips, 15 multiple resonant nanostructures, 16,17 split-ring resonators, 18 metamaterials 19,20 and nanocups, 21 underlining the fast growing interest in the area of nonlinear plasmonics. 22,23 Efficient SHG requires the presence of strong SHG sources, that is, nonlinear polarization currents oscillating at the second harmonic frequency, at the nanostructure surface as well as an efficient scattering of the SHG signal into the far-field. Several strategies have been developed to enhance SHG from metallic nanostructures including using multiple resonances at both the fundamental and the second harmonic wavelengths, 16 breaking the centrosymmetry using noncentrosymmetric nanostructures 20 and even enhancing the electric fields using nanogaps. 24 However, the efficiency of SHG is restricted by two fundamental classes of losses that electromagnetic waves suffer in such metallic structures, namely radiative "losses" like optical scattering and nonradiative losses like the generation of heat. 25 Therefore, to increase the detected SHG in the far-field the structures must decrease the radiative losses at the fundamental wavelength while increasing them at the second harmonic wavelength and at the same time increase the near-field at the fundamental wavelength. Because the SHG yield increases as the square of the fundamental field intensity, 26 a higher near-field at the fundamental is required to increase the near-field at the second harmonic. The wid...

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Section: * S Supporting Informationmentioning

confidence: 99%

Augmenting Second Harmonic Generation Using Fano Resonances in Plasmonic Systems

2013

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“…Here, we use the same normalization for particle polarization envelopes and external electric field as in [7][8][9]. To obtain the governing equations for a 2D lattice, one should make the following replacements in equation (2.2): n → (n, m) in indexes and…”

Section: Model and Governing Equationsmentioning

confidence: 99%

“…In the case of a chain of metal nonlinear nanoparticles, the governing equations for the dimensionless envelopes of transversal (with respect to the chain axis) polarization components of the particles can be written as [7][8][9] …”

Section: Model and Governing Equationsmentioning

confidence: 99%

“…Combining strong surface plasmon resonances, high intrinsic nonlinearities and deep subwavelength scales, plasmonic nanostructures offer a unique playground to develop novel concepts for light manipulation at the nanoscale. The recent advances in the field of nonlinear plasmonics include (but are not limited to) the study of subwavelength solitons in metal-dielectric multilayer structures [5] and arrays of metal nanowires [6], the discovery of plasmonic kinks and oscillons in arrays of metal nanoparticles [7,8] properties [9,10], as well as the analysis of all-optical switching [11][12][13], generation of terahertz radiation from silver nanoscale dimers [14,15], and a dimer nanoradar with periodically rotating scattering pattern [16,17].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Plasmonic kinks and walking solitons in nonlinear lattices of metal nanoparticles

Noskov

Kivshar

2014

Phil. Trans. R. Soc. A.

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We study nonlinear effects in one-dimensional (1D) arrays and two-dimensional (2D) lattices composed of metallic nanoparticles with the nonlinear Kerrlike response and an external driving field. We demonstrate the existence of families of moving solitons in 1D arrays and characterize their properties such as an average drifting velocity. We also analyse the impact of varying external field intensity and frequency on the structure and dynamics of kinks in 2D lattices. In particular, we identify the kinks with positive, negative and zero velocity as well as breathing kinks with a self-oscillating profile.

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“…A next-nearest neighbour (NNN) model in which the linear coupling matrix becomes a quadruple-diagonal matrix after higher-order diffraction was studied by Kevrekidis and colleagues [13]. In 2012, Noskov and colleagues conducted significant studies of the nonlinear dipolar field in a nanoparticle train [14][15][16]-which can be viewed as a discrete nonlinear system-and reported that a linear coupling effect can exist among all lattice sites because of long-range dipole-dipole interactions. This system can produce all non-zero off-diagonal elements in the linear coupling matrix.…”

Section: Introductionmentioning

confidence: 99%

Dark Solitons and Grey Solitons in Waveguide Arrays with Long-Range Linear Coupling Effects

Lin

Liu

et al. 2017

Applied Sciences

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In J. Phys. Soc. Jpn. 83, 034404 (2014), we designed a scheme of waveguide arrays with long-range linear coupling effects and studied the bright solitons in this system. In this paper, we further study the dynamics of dark and grey solitons in such waveguide arrays. The numerical simulations show that the stabilities of dark solitons and grey solitons depend on the normalized decay length and the scaled input power. The width of dark solitons and the grey level of grey solitons are studied. Our results may contribute to the understanding of discrete solitons in long-range linear coupling waveguide arrays, and may have potential applications in optical communications and all-optical networks.

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Oscillons, solitons and domain walls in arrays of nonlinear plasmonic nanoparticles

Cited by 31 publications

References 46 publications

Augmenting Second Harmonic Generation Using Fano Resonances in Plasmonic Systems

Augmenting Second Harmonic Generation Using Fano Resonances in Plasmonic Systems

Plasmonic kinks and walking solitons in nonlinear lattices of metal nanoparticles

Dark Solitons and Grey Solitons in Waveguide Arrays with Long-Range Linear Coupling Effects

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