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This manuscript is a revision of our previous work that develops the three layer model for the surface second-harmonic generation yield; here, we add the necessary algebra to derive expressions that include elliptically polarized incoming…

Optics · Physics 2018-05-16 Sean M. Anderson , Yujin Cho , Bernardo S. Mendoza

We present a theoretical study of second-harmonic generation from a singular metasurface. The singular metasurfaces strongly interact with the incident light, where the large field enhancement forms an intense surface polarization that…

Optics · Physics 2023-01-10 Fan Yang , Cristian Ciracì

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 second-order nonlinear optical process that is not allowed in media with inversion sym-metry. However, due to the broken symmetry at the surface, surface SHG still occurs, but is generally small. We…

Second-order nonlinear optical processes do not manifest in the bulk of centrosymmetric materials, but may occur in the angstroms-thick layer at surfaces. At such length-scales, quantum mechanical effects come into play which could be…

Optics · Physics 2021-05-11 Muhammad Khalid , Cristian Ciracì

Second-harmonic-generation (SHG) in centrosymmetric material such as Si(111) is usually understood either from the phenomenology theory or more recently using the Simplified Bond-Hyperpolarizability Model (SBHM) [G. D. Powell, J. F. Wang,…

Materials Science · Physics 2015-06-12 Hendradi Hardhienata , Andrii Prylepa , David Stifter , Kurt Hingerl

We show that spatially structured radiation generates second harmonic in a two-dimensional system even if the system is homogeneous and isotropic. The effect originates from non-locality of electric response to structured electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2025-04-23 A. A. Gunyaga , M. V. Durnev , S. A. Tarasenko

We demonstrate phase-matched second-harmonic generation (SHG) from three-dimensional metamaterials consisting of stacked metasurfaces. To achieve phase matching, we utilize a novel mechanism based on phase engineering of the metasurfaces at…

We study surface second-harmonic generation (SHG) from a singular plasmonic structure consisting of touching metallic wires. We use the technique of transformation optics and relate the structure to a rather simpler geometry, a slab…

We report the observation of second harmonic generation with high conversion efficiency $\sim 0.005\%$ in the terahertz regime from thin films of the topological insulator Bi$_2$Se$_3$ that exhibit the linear photogalvanic effect, measured…

Strongly Correlated Electrons · Physics 2024-06-11 Jonathan Stensberg , Xingyue Han , Zhuoliang Ni , Xiong Yao , Xiaoyu Yuan , Debarghya Mallick , Akshat Gandhi , Seongshik Oh , Liang Wu

We conduct a theoretical and numerical study on the second-harmonic (SH) optical response of a nano-structured metamaterial composed of a periodic array of inclusions. Both the inclusions and their surrounding matrix are made of…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Ulises R. Meza , Bernardo S. Mendoza , W. Luis Mochán

We discuss the susceptibility third-rank tensor for second harmonic and sumfrequency generation, associated with low index surfaces of silicon (Si(001), Si(011) and Si(111)) from two different approaches: the Simplified…

Materials Science · Physics 2015-06-18 Adalberto Alejo-Molina , Hendradi Hardhienata , Kurt Hingerl

Recent experiments and calculations in topological semimetals have observed anomalously strong second-order optical nonlinearity, but yet whether the enhancement also occurs at surfaces of topological semimetals in general remains an open…

We experimentally and theoretically investigate the second order nonlinear optical response of metallo-dielectric multilayer structures composed of Ag and Ta2O5 layers, deposited by magnetron sputtering. Second harmonic generation…

Nonlinear metamaterials show potential for realizing flat nonlinear optical devices but generally lack in terms of achievable conversion efficiencies. Recent work has focused on enhancing nonlinear processes by utilizing high quality factor…

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on second harmonic generation--the most fundamental process and the…

Analysis of PDEs · Mathematics 2026-05-04 Hongyu Liu , Zhi-Qiang Miao , Jingfeng Yao , Chengxun Yuan , Guang-Hui Zheng

We explore the outcomes of detailed microscopic models by calculating second- and third-harmonic generation from thin film surfaces with discontinuous free-electron densities. These circumstances can occur in structures consisting of a…

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…

In this paper we describe how to derive the expressions for the higher nonlinear generation of waves, their transmission and reflection for the case of a normal incidence plane wave by direct superposition of nonlinear dipoles. We describe…

Materials Science · Physics 2020-08-27 Hendradi Hardhienata

Optical properties of periodic arrays of nanoholes of a triangular shape with experimentally realizable parameters are examined in both linear and nonlinear regimes. Utilizing fully vectorial three-dimensional approach based on the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Elena Drobnyh , Maxim Sukharev
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