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Related papers: Nonlinearity Management in Optics: Experiment, The…

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Specific features of nonlinear interference processes at quantum transitions in near- and fully-resonant optically-dense Doppler-broadened medium are studied. The feasibility of overcoming of the fundamental limitation on a…

Quantum Physics · Physics 2009-11-11 A. K. Popov , S. A. Myslivets , Thomas F. George

Diffraction-free Bessel beams have attracted major interest because of their stability even in regimes of nonlinear propagation and filamentation. However, Kerr nonlinear couplings are known to induce significant longitudinal intensity…

According to a recent experiment, the instantaneous electronic Kerr effect in air exhibits a strong intensity dependence, the nonlinear refractive index switching sign and crossing over from a self-focusing to a de-focusing nonlinearity. A…

Optics · Physics 2015-05-18 M. Kolesik , E. M. Wright , J. V. Moloney

We show that nonlinear imaging is possible in periodic waveguide configurations provided that we use two different segments of nonlinear media with opposite signs of the Kerr nonlinearity with, in general, no other restriction about their…

Optics · Physics 2017-03-08 Nikolaos K. Efremidis , Mihalis Mparkas

Alternative machine learning approaches that are computationally light with low latency and can work with only a small training dataset are needed for applications where the insatiable demand of deep learning methods for computing power and…

Optics · Physics 2021-07-29 Tingyi Zhou , Fabien Scalzo , Bahram Jalali

Using the numerical solution of the nonlinear Schroedinger equation and a variational method it is shown that (3+1)-dimensional spatiotemporal optical solitons can be stabilized by a rapidly oscillating dispersion coefficient in a Kerr…

Pattern Formation and Solitons · Physics 2009-11-10 Sadhan K. Adhikari

The optical fiber is a revolutionary technology of the past century. It enables us to manipulate single modes in nonlinear interactions with precision at the quantum level without involved setups. This setting is useful in the field of…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Dimitrios Kranas , Andleeb Zahra , Friedrich König

We propose the suppression of dispersive spreading of wave packets governed by the free-space Schr\"odinger equation with a periodically pulsed nonlinear term. Using asymptotic analysis, we construct stroboscopically-dispersionless quantum…

Quantum Physics · Physics 2018-07-20 Arseni Goussev , Phillipp Reck , Florian Moser , Antonio Moro , Cosimo Gorini , Klaus Richter

We study a system of inhomogeneous nonlinear Schr\"odinger equations that emerge in optical media with a $\chi^{(2)}$ nonlinearity. This nonlinearity, whose local strength is subject to a cusp-shaped spatial modulation, $\chi^{(2)}\sim…

Analysis of PDEs · Mathematics 2024-05-28 Van Duong Dinh , Amin Esfahani

Paraxial propagation of a quasi-monochromatic light wave with two circular polarizations in a defocusing Kerr medium with anomalous dispersion inside a waveguide of annular cross-section was considered. In the phase-separated mode, the…

Optics · Physics 2024-11-18 Victor P. Ruban

This paper reviews the field of extreme nonlinear optics in optical fibers, highlighting key phenomena and advancements. It discusses multiple ionization effects caused by femtosecond laser pulses that generate plasma and induce permanent…

The interaction between two co-propagating electrostatic wavepackets characterized by arbitrary carrier wavenumber is considered. A one-dimensional (1D) non-magnetized plasma model is adopted, consisting of a cold inertial ion fluid…

Plasma Physics · Physics 2024-03-26 N. Lazarides , Giorgos P. Veldes , Amaria Javed , Ioannis Kourakis

The two-dimensional cubic nonlinear Schr\"{o}dinger equation is used to describe the propagation of an intense laser beam through a medium with Kerr nonlinearity. The coupled two-dimensional cubic nonlinear Schr\"{o}dinger equations are…

Mathematical Physics · Physics 2008-07-01 Xiaoping Xu

We present a new perturbative approach to the study of signal-noise interactions in nonlinear optical fibers. The approach is based on the hydrodynamic formulation of the nonlinear Schr\"odinger equation that governs the propagation of…

Optics · Physics 2015-10-15 Luigi Barletti , Marco Secondini

We consider combining of multiple laser beams into a single near diffraction-limited beam by beam self-focusing (collapse) in a Kerr medium. The beams with the total power above critical are combined in the near field and then propagated in…

Pattern Formation and Solitons · Physics 2016-06-30 Pavel M. Lushnikov , Natalia Vladimirova

The interaction of waves in nonlinear Kerr waveguides are, under some circumstances, similar to the physics occurring at the horizon of black and white holes. Here, we investigate this analogy in an integrated nonlinear photonic structure…

Near-ideal four wave mixing dynamics are observed in a nonlinear Schr{\"o}dinger equation system using a new experimental technique associated with iterated sequential initial conditions in optical fiber. This novel approach mitigates…

We investigate nonlinear Kerr-induced coherence effect on a superluminal probing light pulse in a gain-assisted N-type 4-level atomic system via an intense monochromatic laser field. The dispersion exhibits a novel, interesting and useful…

Optics · Physics 2013-11-28 Bakht Amin Bacha , Fazal Ghafoor

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

Deeply sub-wavelength two-dimensional films may exhibit extraordinarily strong nonlinear effects. Here we show that 2D films exhibit the remarkable property of a phase-controllable nonlinearity, i.e., the amplitude of the nonlinear…