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Non linear fiber optics concerns with the non linear optical phenomena occurring inside optical fibers. The propagation of light in single-mode fibers is governed by the one-dimensional nonlinear Schr\"odinger equation (NLS) in the presence…

Mathematical Physics · Physics 2016-12-02 Domenico Felice

The coupled cubic nonlinear Schr\"odinger (CNLS) equations are used to study modulational instabilities of a pair of nonlinearly interacting two-dimensional waves in deep water. It has been shown that the full dynamics of these interacting…

Chaotic Dynamics · Physics 2017-11-15 Harihar Khanal , Stefan C. Mancas , Shahrdad Sajjadi

Using ultrafast photonic first-order differentiator applied on a partially coherent field, we report the generation of two correlated temporal waveforms and study their correlation properties upon linear and nonlinear propagation along the…

Optics · Physics 2020-05-20 Frédéric Audo , Herve Rigneault , Christophe Finot

We present two complementary models to study stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. The considered nonlinearity is of…

Optics · Physics 2016-01-20 Wiktor Walasik , Gilles Renversez

Photonic devices exhibiting all-optically reconfigurable polarization dependence with a large dynamic range would be highly attractive for active polarization control. Here, we report that strongly polarization-selective nonlinear…

Optics · Physics 2019-02-20 Dae Seok Han , Il-Min Lee , Kyung Hyun Park , Myeong Soo Kang

Coupled resonators form band-like optical states that support rich nonlinearities beyond what is possible in single resonators. In these systems, four-wave mixing mediates interband coupling, displaying multimode dynamics that span both…

It is shown that in polar geometry and normal incidence the 2x2 matrix technique - as discussed in detail in a preceeding paper [Phys. Rev. B 65, 144448 (2002)] - accounts correctly for multiple reflections and optical interferences, and…

Materials Science · Physics 2009-11-07 A. Vernes , L. Szunyogh , P. Weinberger

We develop a theoretical model of triply-resonant optical parametric oscillators (OPOs) based on degenerate four-wave mixing (FWM) that includes physics and degrees of freedom relevant to microphotonic (on-chip) device implementations,…

Optics · Physics 2014-02-18 Xiaoge Zeng , Miloš A. Popović

We theoretically investigate the solitary waves and their switching dynamics in a $\mathcal{PT}$-symmetric directional fiber coupler, exhibiting Kerr nonlinearity, by developing a variational analysis. We analyze the fundamental switching…

Optics · Physics 2022-06-22 Ambaresh Sahoo , Amarendra K. Sarma

In this Letter we study theoretically the interaction of optical waves in nonlinear dynamical medium, i.e. medium with relaxation. Taking into account the relaxation of the photoinduced nonlinearity we derive a single evolution equation,…

Optics · Physics 2018-10-17 Svitlana Bugaychuk , Elena Tobisch

In this paper, we numerically investigate the process of beam self-cleaning in a graded-index multimode optical fiber, by using the coupled-mode model. We introduce various models of random linear coupling between spatial modes, including…

Nonlinear electrodynamics naturally arises in quantum field theory, where the electromagnetic vacuum behaves as an effective nonlinear optical medium, leading to phenomena such as vacuum birefringence and dichroism. Among the recently…

Optics · Physics 2026-03-13 M. J. Neves , Pedro D. S. Silva

We consider travelling periodic and quasiperiodic wave solutions of a set of coupled nonlinear Schr\"odimger equations. In fibre optics these equations can be used to model single mode fibers with strong birefringence and two-mode optical…

solv-int · Physics 2009-10-31 P. L. Christiansen , J. C. Eilbeck , V. Z. Enolskii , N. A. Kostov

We describe the phenomenon of optical activity of noncentrosymmetric metals in their normal and superconducting states. The found conductivity tensor contains the linear in wave vector off diagonal part responsible for the natural optical…

Superconductivity · Physics 2015-05-14 V. P. Mineev , Yu Yoshioka

We consider propagation of optical pulses under the interplay of dispersion and Kerr non-linearity in optical fibres with impurities distributed at random uniformly on the fibre. By using a model based on the non-linear Schrodinger equation…

Optics · Physics 2010-07-21 Javier Villarroel , Miquel Montero

A two-dimensional nonlinear Schrodinger lattice with nonlinear coupling, modelling a square array of weakly coupled linear optical waveguides embedded in a nonlinear Kerr material, is studied. We find that despite a vanishing energy…

Pattern Formation and Solitons · Physics 2008-12-18 Michael Oster , Magnus Johansson

We introduce and experimentally demonstrate the concept of all-optical beam switching in graded-index multimode optical fibers. Nonlinear coupling between orthogonally polarized seed and signal beams permits to control the spatial beam…

We introduce the concept of spatial and spectral control of nonlinear parametric sidebands in multimode optical fibers by tailoring their linear refractive index profile. In all cases, the pump experiences Kerr self-cleaning, leading to a…

We theoretically and experimentally investigate the mutual collapse dynamics of two spatially separated optical beams in a Kerr medium. Depending on the initial power, beam separation, and the relative phase, we observe repulsion or…

The dynamics of (2 + 1) dimensional optical solitonic beams in birefringent fibers without four wave mixing terms are considered using the recently introduced coupled Kundu Mukherjee Naskar (KMN) equation. The arbitrary bending of solitonic…

Pattern Formation and Solitons · Physics 2021-10-26 Abhik Mukherjee