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In this article, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi-free electrons inside the metal are approximated as a classical Coulomb-interacting electron gas, and…

Optics · Physics 2015-05-13 Yong Zeng , Walter Hoyer , Jinjie Liu , Stephan W. Koch , Jerome V. Moloney

The second-harmonic generation of 150 nm spherical gold nanoparticles is investigated both experimentally and theoretically. We demonstrate that the interference effects between dipolar and octupolar plasmons can be used as a fingerprint to…

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 analyze third-harmonic generation from high-index dielectric nanoparticles and discuss the basic features and multipolar nature of the parametrically generated electromagnetic fields near the Mie-type optical resonances. By combining…

We present a full-wave analytical solution for the problem of second-harmonic generation from spherical nanoparticles. The sources of the second-harmonic radiation are represented through an effective nonlinear polarization. The solution is…

Optics · Physics 2013-04-08 Antonio Capretti , Carlo Forestiere , Luca Dal Negro , Giovanni Miano

We develop a quantum mechanical theory to describe the optical response of semiconductor nanostructures with a particular emphasis on higher-order harmonic Generation. Based on a tight-binding approach we take all two-particle correlations…

Optics · Physics 2023-01-04 Ulf Peschel , Thomas Lettau , Stefanie Gräfe , Kurt Busch

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 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…

Second harmonic generation (SHG) is a nonlinear optical response arising exclusively from broken inversion symmetry in the electric-dipole limit. Recently, SHG has attracted widespread interest as a versatile and noninvasive tool for…

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

The effective nonlinear response of films of random composites consisting of a binary composite with nonlinear particles randomly embedded in a linear host is theoretically and numerically studied. A theoretical expression for the effective…

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

We develop a semiclassical method for the determination of the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N, based on the 1/N-expansion and the quantum-classical correspondence. The…

chao-dyn · Physics 2009-10-31 Kirill N. Alekseev , Natasha V. Alekseeva , Jan Perina

In this review, we compare different descriptions of photon-number statistics in harmonic generation processes within quantum, classical and semiclassical approaches. First, we study the exact quantum evolution of the harmonic generation by…

Quantum Physics · Physics 2007-05-23 Jiri Bajer , Adam Miranowicz

Quadratic optical parametric processes form the foundation for a variety of applications related to classical and quantum frequency conversion, which have attracted significant interest recently in on-chip implementation. These processes…

Optics · Physics 2018-09-19 Rui Luo , Yang He , Hanxiao Liang , Mingxiao Li , Qiang Lin

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

The second order optical response of centrosymmetric materials manifests itself mostly at their surface, being strongly suppressed in their bulk. However, the overall surface response is also suppressed in nanoparticles with a…

Optics · Physics 2021-09-22 Raksha Singla , W. Luis Mochán

Plasmonic nanostructures that support surface plasmon (SP) resonance potentially provide a route for the development of nanoengineered nonlinear optical devices. In this work, second-order nonlinear light scattering, specifically…

Computational Physics · Physics 2016-12-20 Xiaoyan Y. Z. Xiong , Li Jun Jiang , Wei E. I. Sha , Yat Hei Lo , Weng Cho Chew

In this article we provide a practical prescription to harness the rigorous microscopic, quantum level descriptions of light-matter systems provided by Hopfield diagonalisation for quantum description of nonlinear scattering. A general…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Christopher R. Gubbin , Simone De Liberato

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 aim to clarify the role that absorption plays in nonlinear optical processes in a variety of metallic nanostructures and show how it relates to emission and conversion efficiency. We define a figure of merit that establishes the…

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