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We demonstrate a mesoscopic self-collimation effect in photonic crystal superlattices consisting of a periodic set of all-positive index 2D photonic crystal and homogeneous layers. We develop an electromagnetic theory showing that…

The theory of Bloembergen and Pershan for the light waves at the boundary of nonlinear media is extended to a nonlinear two-dimensional atomic crystal, i.e. a single planar atomic lattice, placed in between linear bulk media. The crystal is…

Optics · Physics 2016-01-20 Michele Merano

This study presents an investigation of second harmonic generation (SHG) resulting from interaction of radially polarized laser beam propagating in homogeneous, unmagnetized plasma. Lorentz force and continuity equations have been used to…

Plasma Physics · Physics 2025-09-30 Shivani Aggarwal , Saumya Singh , Dinkar Mishra , Bhupesh Kumar , Pallavi Jha

Second harmonic generation (SHG) extensively employs periodically poled nonlinear crystals through forward quasi-phase-matching to achieve efficient frequency conversion. As poling periods approach sub-micrometers, backward…

Optics · Physics 2024-07-15 Fengyan Yang , Juanjuan Lu , Mohan Shen , Guangcanlan Yang , Hong X. Tang

An analytical theory of the nonlinear electromagnetic response of a two-dimensional (2D) electron system in the second order in the electric field amplitude is developed. The second-order polarizability and the intensity of the second…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. A. Mikhailov

We construct a family of bright optical solitons composed of fundamental frequency (FF) and second-harmonic (SH) components in the one-dimensional (planar) waveguide with the quadratic (second-harmonic-generating) nonlinearity and effective…

Pattern Formation and Solitons · Physics 2023-07-19 Pengfei Li , Hidetsugu Sakaguchi , Liangwei Zeng , Xing Zhu , Dumitru Mihalache , Boris A. Malomed

The plasmon-enhanced second harmonic generation in the subwavelength neutral metal cubic nanoparticles is calculated for the first time in the hydrodynamic and cold plasma approximations. The theory is developed that takes into account all…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 S. V. Fomichev , A. M. Bratkovsky

We report on the fabrication of what we believe is the first example of a two dimensional nonlinear periodic crystal\cite{berger}, where the refractive index is constant but in which the 2nd order nonlinear susceptibility is spatially…

We investigate second and third harmonic generation in a slab of material that displays plasma resonances at the pump and its harmonic frequencies. Near-zero refractive indices and local field enhancement can deplete the pump for kW/cm2…

Optics · Physics 2015-06-16 M. A. Vincenti , D. de Ceglia , J. W. Haus , M. Scalora

We apply the theory of high-order harmonic generation by low-frequency laser fields in the strong field approximation to the study of the spatial and temporal coherence properties of the harmonics. We discuss the role of dynamically induced…

Quantum Physics · Physics 2007-05-23 Pascal Salières , Anne L'Huillier , Philippe Antoine , Maciej Lewenstein

We report a systematic investigation into the processes behind a near hundredfold enhanced second harmonic wave generated from a laser-induced air plasma, by examining the temporal dynamics of the frequency conversion processes, and the…

We investigate the generation of ultraviolet (UV) second-harmonic radiation on the boundary of a UV transparent crystal, which is derived from the automatic partial phase matching of the incident wave and the total internal reflection. By…

Optics · Physics 2016-12-19 Xiaohui Zhao , Yuanlin Zheng , Huaijin Ren , Ning An , Xuewei Deng , Xianfeng Chen

Harmonic generation in underdense spatially homogeneous plasma is generally expected to be inefficient: in an unmagnetized uniform plasma the fundamental and its harmonics cannot be phase-matched, resulting in third-harmonic generation…

Plasma Physics · Physics 2026-01-21 S. Cao , M. R. Edwards

We employ transformation optics to optimize the generic nonlinear wave interaction of second-harmonic generation from a pair of touching metallic wires. We demonstrate a 10 orders of magnitude increase in the second-harmonic scattering…

In this work, we study second-harmonic generation a monocrystalline nanoparticle with a non-centrosymmetric crystalline lattice. It was shown that breaking the symmetry of the nanoparticle's shape can significantly affect the second…

Optics · Physics 2019-04-25 Kristina Frizyuk

Nonlinear topological photonics, which explores topics common to the fields of topological phases and nonlinear optics, is expected to open up a new paradigm in topological photonics. Here, we demonstrate second-harmonic generation (SHG)…

Optics · Physics 2021-04-28 Zhihao Lan , Jian Wei You , Qun Ren , Wei E. I. Sha , Nicolae C. Panoiu

Understanding the mechanisms and spatial correlations of crystallographic symmetry breaking in ferroelectric materials is essential to tuning their functional properties. While optical second harmonic generation (SHG) has long been utilized…

Materials Science · Physics 2022-08-10 Wei Li , Yunpeng Ma , Tianyi Feng , Sergei V. Kalinin , Jing-Feng Li , Qian Li

Nonlinear frequency conversion in optics can originate the coherent light at the wavelength where it is hard or unlikely to achieve by directly lasing and is a fundamental topic in science and engineering covering both classical and quantum…

Optics · Physics 2019-12-02 Mingchuan Shao , Fei Liang , Haohai Yu , Huaijin Zhang

Dynamic phase-only beam shaping with a liquid crystal spatial light modulator is a powerful technique for tailoring the beam's intensity profile or wave front. While shaping and controlling the light field is a highly researched topic,…

We report on theoretical study of second harmonic generation in graphene. Phenomenological analysis based on symmetry arguments is carried out. It is demontrated, that in ideal graphene samples second harmonic generation is possible only if…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. M. Glazov