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Related papers: Dispersive effects in ultrafast non-linear phenome…

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We extend Kramers-Kronig relations beyond the optical approximation to dielectric functions that depend not only on frequency but on the wave number as well. This implies extending the notion of causality commonly used in the theory of…

Classical Physics · Physics 2024-09-24 Josep Llosa , Francesc Salvat

Dispersive shock waves are fascinating phenomena occurring when nonlinearity overwhelms linear effects, such as dispersion and diffraction. Many features of shock waves are still under investigation, as the interplay with noninstantaneity…

We give explicit criteria for the reflectionlessness, transparency, and invisibility of a finite-range potential in the presence of an incoherent (intensity-dependent) nonlinearity that is confined to the range of the potential. This allows…

Quantum Physics · Physics 2017-10-12 Ali Mostafazadeh , Neslihan Oflaz

Emergent phenomena are ubiquitous in nature and refer to spatial, temporal, or spatiotemporal pattern formation in complex nonlinear systems driven out of equilibrium that is not contained in the microscopic descriptions at the…

A full-quantum approach is used to study quantum nonlinear properties of a compound Michelson-Sagnac interferometer optomechanical system. The effective Hamiltonian shows that both dissipative and dispersive couplings possess imaginary- and…

Quantum Physics · Physics 2023-10-20 Wen-Quan Yang , Wei Niu , Yong-Hong Ma , Wen-Zhao Zhang

The ultrafast optical Kerr effect (OKE) is widely used to investigate the structural dynamics and interactions of liquids, solutions and solids by observing their intrinsic nonlinear temporal responses through nearly-collinear four-wave…

Optics · Physics 2021-03-15 Lucas Huber , Sebastian Maehrlein , Feifan Wang , Yufeng Liu , Xiaoyang Zhu

We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong nonlinear optical properties can have its polarization…

Analysis of PDEs · Mathematics 2025-05-05 Nikolas Eptaminitakis , Plamen Stefanov

The pronounced dependence of the nonlinear parameters of both dielectric and semiconductor materials on the wavelength, and the nonlinear interaction between the ultra-short laser pulse and the material requires precise control of the…

We investigate the interplay of diffraction and nonlinear effects during propagation of very short light pulses. Adapting the factorization approach to the problem at hand by keeping the transverse-derivative terms apart from the residual…

Optics · Physics 2016-02-17 C. L. Korpa , Gy. Toth , J. Hebling

We present an experimental and theoretical study of a simple, passive system consisting of a birefringent, two-dimensional photonic crystal and a polarizer in series, and show that superluminal dispersive effects can arise even though no…

Quantum Physics · Physics 2009-11-10 D. R. Solli , C. F. McCormick , C. Ropers , J. J. Morehead , R. Y. Chiao , J. M. Hickmann

Scattering resonances play a crucial role in understanding wave behavior in various physical systems. While significant progress has been made in analyzing resonances in high-contrast and nonlinear media, a general characterization of…

Optics · Physics 2024-10-29 Taoufik Meklachi

A numerical study of the properties of Gaussian pulses propagating in planar waveguide under the combined effect of positive Kerr-type nonlinearity, diffraction in planar waveguides and anomalous or normal dispersion, is presented. It is…

Optics · Physics 2008-02-03 M. E. Pietrzyk

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

Materials Science · Physics 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

Nonlinear optical waveguides, particularly those harnessing the optical Kerr effect, are promising for advancing next-generation photonic technologies. Despite the Kerr effect`s ultrafast response, its inherently weak nonlinearity has…

We predict that the effective nonlinear optical susceptibility can be tailored using the Purcell effect. While this is a general physical principle that applies to a wide variety of nonlinearities, we specifically investigate the Kerr…

Quantum Physics · Physics 2009-11-13 Peter Bermel , Alejandro Rodriguez , John D. Joannopoulos , Marin Soljacic

Van der Waals interactions are ubiquitous and they play an important role for the stability of materials. Current understanding of this type of coupling is based on linear response theory, while optical nonlinearities are rarely considered…

Materials Science · Physics 2024-08-27 Dai-Nam Le , Pablo Rodriguez-Lopez , Lilia M. Woods

The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a simple macroscopic equation (as in the classical Darcy's…

Numerical Analysis · Mathematics 2025-05-06 Surendra Nepal , Vishnu Raveendran , Michael Eden , Rainey Lyons , Adrian Muntean

Dynamic Kerr effect measurements provide a simple realization of a nonlinear experiment. We propose a field-off experiment where an electric field of one or several sinusoidal cycles is applied to a sample in thermal equilibrium.…

Soft Condensed Matter · Physics 2009-11-11 U. Haeberle , G. Diezemann

In this research, numerical analysis of nonlinear pulse propagation is carried out. This is done mainly by solving the nonlinear Schrodinger equation using the split step algorithm. In a nonlinear media, dispersive effects exist…

Optics · Physics 2025-04-24 Yogesh Deo , Meenu Shrestha , Om Nath Acharya

Nonlinearity is the key to introducing novel concepts in various technologies utilizing traveling waves. In contrast to the field of optics, where highly functional devices have been developed using optical Kerr nonlinearity, such a…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Megumi Kurosu , Daiki Hatanaka , Hiroshi Yamaguchi
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