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By combining analytical and numerical approaches, we study resonantly enhanced second-harmonic generation (SHG) by individual high-index dielectric nanoparticles made of centrosymmetric materials. Considering both bulk and surface…

Optics · Physics 2018-01-08 Daria Smirnova , Alexander I. Smirnov , Yuri S. Kivshar

The discovery of topological phases has introduced a new dimension to materials science. Three-dimensional (3D) topological insulators (TIs) are a remarkable class of matter that is insulating in the bulk while hosting conductive…

The second-order nonlinear optical susceptibility $\Pi^{(2)}$ for second harmonic generation is calculated for gapped graphene. The linear and second-order nonlinear plasmon excitations are investigated in context of second harmonic…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Yonatan Abranyos , Upali Aparajita , Oleksiy Roslyak

We derive an expression for the effective second-harmonic coefficient of a dilute suspension of coated spherical particles. It is assumed that the coating material, but not the core or the host, has a nonlinear susceptibility for…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. M. Hui , C. Xu , D. Stroud

Second harmonic generation (SHG) is a powerful optical tool for identifying non-centrosymmetric crystalline structures. Here, we analyze SHG in multilayer graphenes (MLG), with a focus on its dependence on the stacking order, encapsulation…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Patrick Johansen Sarsfield , Takaaki V. Joya , Takuto Kawakami , Mikito Koshino , Vladimir Fal'ko

We develop a multipolar theory of second-harmonic generation (SHG) by dielectric nanoparticles made of noncentrosymmetric materials with bulk quadratic nonlinearity. We specifically analyze two regimes of optical excitation: illumination by…

Optical second-harmonic generation (SHG) is a nonlinear parametric process that doubles the frequency of incoming light. Only allowed in non-centrosymmetric materials, it has been widely used in frequency modulation of lasers, surface…

Materials Science · Physics 2021-01-05 Wontaek Kim , Je Yhoung Ahn , Juseung Oh , Ji Hoon Shim , Sunmin Ryu

A new concept for second-harmonic generation (SHG) in an optical nanocircuit is proposed. We demonstrate both theoretically and experimentally that the symmetry of an optical mode alone is sufficient to allow SHG even in centro-symmetric…

We use ultrafast laser pulses to experimentally demonstrate that the second-order optical response of bulk single crystals of the topological insulator Bi$_2$Se$_3$ is sensitive to its surface electrons. By performing surface doping…

Materials Science · Physics 2011-02-02 D. Hsieh , J. W. McIver , D. H. Torchinsky , D. R. Gardner , Y. S. Lee , N. Gedik

Second harmonic generation (SHG) is forbidden in centrosymmetric molecular materials. However, a signal is frequently observed from interfaces where the symmetry is broken. Whereas the effect can be phenomenologically accommodated, an ab…

Nonreciprocal devices that allow the light propagation in only one direction are indispensable in photonic circuits and emerging quantum technologies. Contemporary optical isolators and circulators, however, require large size or strong…

Materials Science · Physics 2021-10-12 Shingo Toyoda , Manfred Fiebig , Taka-hisa Arima , Yoshinori Tokura , Naoki Ogawa

We study the second harmonic generation (SHG) in a suspension of small spherical particles confined within a slab, assuming undepleted pump and applying (i) single scattering approximation and (ii) diffusion approximation. In the case (i),…

Optics · Physics 2007-05-23 E. V. Makeev , S. E. Skipetrov

This research will examine the computational methods to calculate the nonlinear optical process of second harmonic generation (SHG) that will be hypothesized to be present during lithium ion insertion into silicon nanowires. First it will…

Optics · Physics 2021-10-19 Donald C. Boone

Second-harmonic generation (SHG) is a well-known nonlinear spectroscopy method to probe electronic structure, specifically, in transition metal dichalcogenide (TMDC) monolayers. This work investigates the nonlinear dynamics of a strongly…

Second-harmonic generation (SHG) is a direct measure of the strength of second-order nonlinear optical effects, which also include frequency mixing and parametric oscillations. Natural and artificial materials with broken…

Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Anirudha Menon , Debashree Chowdhury , Banasri Basu

We determine the nature of the magnetic order on the surface of a topological insulator (TI) which develops due to hexagonal warping and the resulting Fermi surface (FS) nesting in the presence of a repulsive Hubbard interaction. For this…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Daniel Mendler , Panagiotis Kotetes , Gerd Schön

LMTO calculations are presented for the frequency dependent second harmonic generation (SHG) in the polytypes 2H, 4H, 6H, 15R and 3C of SiC. All independent tensor components are calculated. The spectral features and the ratios of the 333…

Condensed Matter · Physics 2009-10-30 Sergey N. Rashkeev , Walter R. L. Lambrecht , Benjamin Segall

We report on the optical second harmonic generation (SHG) on the 1S exciton-polariton resonance in bulk ZnSe that is subject to an external magnetic field applied perpendicular to the light wave vector $\mathbf k$ (Voigt geometry). For the…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 J. Mund , D. R. Yakovlev , A. Farenbruch , N. V. Siverin , M. A. Semina , M. M. Glazov , E. L. Ivchenko , M. Bayer

A comparative experimental investigation of the dependence of second harmonic generation (SHG) on applied external voltage between the standard nematic liquid crystalline material and an analogue ferromagnetic nematic liquid crystalline…

Soft Condensed Matter · Physics 2019-09-30 Jure Brence , Luka Cmok , Nerea Sebastian , Alenka Mertelj , Darja Lisjak , Irena Drevensek-Olenik