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Time-domain analysis of harmonic fields with sub-cycle resolution is now experimentally viable due to the emergence of sensitive, on-chip techniques for petahertz-scale optical-field sampling. We demonstrate how such a time-domain,…

Phase matching is essential for efficient energy transfer in nonlinear wave-mixing processes. Traditional methods, such as birefringent and quasi-phase matching, have remained conceptually unchanged since their discovery over 60 years ago,…

Optics · Physics 2026-02-23 Danielle Ben-Haim , Mai Tal , Xiaoxi Xu , Tal Ellenbogen

We show that deliberately engineered spatially dispersive metamaterial slab can enable co-existence and phase matching of contra-propagating ordinary fundamental and backward second harmonic electromagnetic modes. Energy flux and phase…

Optics · Physics 2016-02-09 A. K. Popov , I. S. Nefedov , S. A. Myslivets

The goal of this work is to study the existence of quasi-periodic solutions in time to nonlinear beam equations with a multiplicative potential. The nonlinearities are required to only finitely differentiable and the frequency is along a…

Dynamical Systems · Mathematics 2017-06-16 Bochao Chen , Yixian Gao , Shan Jiang , Yong Li

Second-order nonlinear effects, such as second-harmonic generation, can be strongly enhanced in nanofabricated photonic materials when both fundamental and harmonic frequencies are spatially and temporally confined. Practically designing…

The helicon waves exhibit varying characters depending on plasma parameters, geometry, and wave numbers. Here we elucidate an intrinsic multi-scale property embodied by the combination of dispersive effect and nonlinearity. The extended…

Plasma Physics · Physics 2016-10-24 Hamdi M. Abdelhamid , Zensho Yoshida

A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multicomponent nonintegrable nonlinear systems. It is successfully…

Pattern Formation and Solitons · Physics 2010-08-12 P. Anghel-Vasilescu , J. Dorignac , F. Geniet , J. Leon , M. Taki

We investigate second harmonic generation (SHG) from hexagonal periodic arrays of triangular nano-holes of aluminum using a self-consistent methodology based on the hydrodynamics-Maxwell-Bloch approach. It is shown that angular polarization…

Optics · Physics 2021-07-07 Maxim Sukharev , Adi Salomon , Joseph Zyss

We introduce a novel class of parametric optical solitons supported simultaneously by two second-order nonlinear cascading processes, second-harmonic generation and sum-frequency mixing. We obtain, analytically and numerically, the…

patt-sol · Physics 2019-08-17 Yuri S. Kivshar , Tristram J. Alexander , Solomon Saltiel

We investigate the nonclassical properties of output fields propagated through a contradirectional asymmetric nonlinear optical coupler consisting of a linear waveguide and a nonlinear (quadratic) waveguide operated by second harmonic…

Quantum Physics · Physics 2022-06-07 Kishore Thapliyal , Anirban Pathak , Biswajit Sen , Jan Perina

This paper extends the author's previous two-dimensional work with Ou and LeVeque to high-resolution finite volume modeling of systems of fluids and poroelastic media in three dimensions, using logically rectangular mapped grids. A method…

Numerical Analysis · Mathematics 2013-08-30 Grady I. Lemoine

The integration of second-order optical nonlinearities into scalable photonic platforms remains a key challenge due to their large sensitivity to fabrication variations. Here, we present a scalable quadratic nonlinear platform that…

Ferroelectric belongs to an important class of materials showing very interesting nonlinear optical properties that have a variety of application in photonic devices In a discrete Hamiltonian, if we consider the space and time dependence of…

Materials Science · Physics 2016-12-16 Atrayee Bhattacharya , Kamal Choudhary , Santanu Das , Loc Vu-Quoc , A. K. Bandyopadhyay

The finite-difference time-domain (FDTD) method is a flexible and powerful technique for rigorously solving Maxwell's equations. However, three-dimensional optical nonlinearity in current commercial and research FDTD softwares requires…

Optics · Physics 2017-12-27 Charles Varin , Rhys Emms , Graeme Bart , Thomas Fennel , Thomas Brabec

In this paper we explore the possibility for solving the 3D Maxwell's equations in the presence of nonlinear and/or inhomogeneous material response. We propose using a hybrid approach which combines a bound- ary integral representation with…

Numerical Analysis · Mathematics 2019-08-07 Aihua Lin , Per Kristen Jakobsen

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

We proposed a mechanism to generate giant anisotropic second harmonic nonlinear response via double resonance effect, achieved through band nesting via electronic bandstructure engineering. The ideal band setup would be a triplet of nested…

High quality lithium niobate thin film microresonators provide an ideal platform for on-chip nonlinear optics applications. However, the phase matching condition for efficient parametric process sets a high requirement for fabrication…

Light can be confined transversely and delivered axially in a waveguide. However, waveguides are lossy static structures whose modal characteristics are fundamentally determined by the boundary conditions, and thus cannot be readily changed…

We report on the characterization, including residual phase noise and fractional frequency instability, of fiber-coupled PPLN non-linear crystals. These components are devoted to frequency doubling 871 nm light from an extended-cavity diode…