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We generalize the projection to orthogonal function basis (including polarization modes) method for nonlinear (Kerr medium) fiber and use this method in a case of two-mode waveguide. We consider orthogonal Bessel functions basis that fit…

Optics · Physics 2007-05-23 S. B. Leble , B. Reichel

A scalar Wigner distribution function for describing polarized light is proposed in analogy with the treatment of spin variables in quantum kinetic theory. The formalism is applied to the propagation of circularly polarized light in…

Optics · Physics 2015-06-11 T. Hansson , E. Wallin , G. Brodin , M. Marklund

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 nonlinear Schr\"odinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation which was first derived by means of…

Optics · Physics 2008-10-30 Jonatan Lenells

We investigate two kind of polarization of localized optical waves in nonlinear Kerr type media, linear and combination of linear and circular. In the first case of linear polarized components we obtained the vector version of 3D+1…

Pattern Formation and Solitons · Physics 2007-05-23 Lubomir M. Kovachev , David R. Andersen

The propagation of the optical field complex envelope in a single-mode fiber is governed by a one-dimensional cubic nonlinear Schr\"odinger equation with a loss term. We present a result about $L^2$-closeness of the solutions of the…

Mathematical Physics · Physics 2015-05-06 Domenico Felice , Luigi Barletti

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

We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over several diffraction lengths, we show…

Pattern Formation and Solitons · Physics 2009-11-11 Martin Centurion , Mason A. Porter , P. G. Kevrekidis , Demetri Psaltis

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

The effect of the Kerr nonlinearity on linear non-diffractive Bessel beams is investigated analytically and numerically using the nonlinear Schr\"odinger equation. The nonlinearity is shown to primarily affect the central parts of the…

Optics · Physics 2009-11-10 Pontus Johannisson , Dan Anderson , Mietek Lisak , Mattias Marklund

A model for a non-Kerr cylindrical nematic fiber is presented. We use the multiple scales method to show the possibility of constructing different kinds of wavepackets of transverse magnetic (TM) modes propagating through the fiber. This…

We present a statistical description of the propagation of short pulses in long optical fibers, taking into account the Kerr and nonlocal nonlinearities on an equal footing. We use the Wigner approach on the modified nonlinear Schroedinger…

Optics · Physics 2009-11-11 P. K. Shukla , M. Marklund

Coupled nonlinear Schrodinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of…

Analysis of PDEs · Mathematics 2007-05-23 Alessio Pomponio

We derive a general theory of linear coupling and Kerr nonlinear coupling between modes of dielectric optical resonators from first principles. The treatment is not specific to a particular geometry or choice of mode basis, and can…

Optics · Physics 2022-03-14 Jonathan M. Silver , Pascal Del'Haye

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

The contour integration technique applied to calculate the optical conductivity tensor at finite temperatures in the case of inhomogeneous surface layered systems within the framework of the spin-polarized relativistic screened…

Materials Science · Physics 2007-05-23 A. Vernes , L. Szunyogh , P. Weinberger

We analyze the spatiotemporal solitary waves of a graded-index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schr\"odinger equation approach, we derive an effective one-dimensional Lagrangian…

Pattern Formation and Solitons · Physics 2025-06-02 Francesco Lorenzi , Luca Salasnich

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schr\"odinger (CCNLS) system with temporally modulated nonlinearities and with an external harmonic oscillator potential. This general CCNLS system encompasses…

Pattern Formation and Solitons · Physics 2020-08-17 R. Babu Mareeswaran , K. Sakkaravarthi , T. Kanna

Bright squeezed light can be generated in optical fibers utilizing the Kerr effect for ultrashort laser pulses. However, pulse propagation in a fiber is subject to nonconservative effects that deteriorate the squeezing. Here, we analyze…

A general theory of nonlinear signal-noise interactions for wavelength division multiplexed fiber-optic coherent transmission systems is presented. This theory is based on the regular perturbation treatment of the nonlinear Schrodinger…

Information Theory · Computer Science 2017-04-24 Amirhossein Ghazisaeidi
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