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We construct and justify leading order weakly nonlinear geometric optics expansions for nonlinear hyperbolic initial value problems, including the compressible Euler equations. The technique of simultaneous Picard iteration is employed to…

Analysis of PDEs · Mathematics 2012-07-18 Matthew Hernandez

Artificial thin glass opals can be infiltrated with a resonant alkali-metal vapour, providing novel types of hybrid systems. The reflection at the interface between the substrate and the opal yields a resonant signal, which exhibits…

On-chip coherent visible and near-infrared (NIR) light generation has broad applications in metrology, bio-sensing, and quantum information. High-Q microresonators are ideal candidates for generating light across such broad wavelength…

The polarization states of lasers are crucial issues both for practical applications and fundamental research. In general, they depend in a combined manner on the properties of the gain material and on the structure of the electromagnetic…

We consider a photonic lattice of nonlinear lossy resonators subjected to a coherent drive, where the system remembers its topological phase. Initially, the system is topologically trivial. After the application of an additional coherent…

Optics · Physics 2023-01-10 Subhaskar Mandal , Gui-Geng Liu , Baile Zhang

Topology-driven nonlinear light-matter effects open up new paradigms for both topological photonics and nonlinear optics. Here, we propose to achieve high-efficiency second-harmonic generation in a second-order photonic topological…

Optics · Physics 2021-12-02 Yafeng Chen , Zhihao Lan , Jensen Li , Jie Zhu

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

We theoretically study the unique applications of optomechanics based on traveling-wave microresonators, where the optomechanical coupling of degenerate modes can be enhanced selectively by optically pumping in different directions. We show…

Quantum Physics · Physics 2017-04-18 Yan-Lei Zhang , Chun-Hua Dong , Chang-Ling Zou , Xu-Bo Zou , Ying-Dan Wang , Guang-Can Guo

Optical resonators enable the generation, manipulation, and storage of electromagnetic waves. They are widely used in technology and fundamental research, in telecommunications, lasers and nonlinear optics, ultra-sensitive measurements in…

Effects of rotational mode coupling on photometric parameters of stellar oscillations are studied. At moderate rotation rates, a strong coupling between modes of spherical harmonic degree, $\ell$, differing by 2 and of the same azimuthal…

The dynamical behavior of a nonlinear micromechanical resonator acting as one of the mirrors in an optical resonance cavity is investigated. The mechanical motion is coupled to the optical power circulating inside the cavity both directly…

Other Condensed Matter · Physics 2015-03-19 S. Zaitsev , O. Gottlieb , E. Buks

Unidirectional light emission from planar photonic structures is highly advantageous for a wide range of optoelectronic applications. Recently, it has been demonstrated that unidirectional guided resonances (UGRs) can be realized by…

Optics · Physics 2023-12-04 Sun-Goo Lee , Seong-Han Kim , Wook-Jae Lee

In a recent experiment Lauber et al. have deformed cyclically a microwave resonator and have measured the adiabatic normal-mode wavefunctions for each shape along the path of deformation. The nontrivial observed cyclic phases around a…

Condensed Matter · Physics 2009-02-12 F. Pistolesi , Nicola Manini

Protection of topological surface states by reflection symmetry breaks down when the boundary of the sample is misaligned with one of the high symmetry planes of the crystal. We demonstrate that this limitation is removed in amorphous…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Helene Spring , Anton R. Akhmerov , Daniel Varjas

Optical properties of a one-dimensional photonic structure consisting of Kerr-type nonlinear and magnetic layers under the action of an external static magnetic field in the Faraday geometry are investigated. The structure is a periodic…

We describe and rigorously justify the nonlinear interaction of highly oscillatory waves in nonlinear Schrodinger equations, posed on Euclidean space or on the torus. Our scaling corresponds to a weakly nonlinear regime where the…

Analysis of PDEs · Mathematics 2010-04-22 Rémi Carles , Eric Dumas , Christof Sparber

Optical gain is a critical process in today's semiconductor technology and it is most often achieved via stimulated emission. In this theoretical study, we find a resonant TE mode in biased low-symmetry two-dimensional metallic systems…

Mesoscale and Nanoscale Physics · Physics 2025-10-30 N. Roldan-Levchenko , D. J. P. de Sousa , C. O. Ascencio , J. D. S Forte , L. Martin-Moreno , T. Low

The generation of arbitrary polarization states of light is essential for optical communication and photonic information processing. Photonic crystal and metasurface platforms supporting bound states in the continuum (BICs) provide a…

Optics · Physics 2026-03-13 Siyuan Gao , Guangtai Lu , Satoshi Iwamoto , Yasutomo Ota

New, fundamental resonant properties of laser resonators are theoretically predicted and experimentally demonstrated. These resonances occur either in the time dependence of the beam width and that of beam radius of curvature of the…

Optics · Physics 2015-06-05 A. Kohazi-Kis , J. Klebniczki , M. Gorbe , P. Nagy

Measurement technology employing optical interference phenomena such as a fringe pattern or frequency shift has been evolving for more than a century. The systems are being designed better, and their components are being built better. But…

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