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We show how to extend the enhanced Gaussian noise (EGN) model to account for polarization-dependent loss (PDL) of optical devices placed along a fiber-optic link. We provide a comprehensive theory highlighting the relationships between the…

Signal Processing · Electrical Eng. & Systems 2020-07-06 Paolo Serena , Chiara Lasagni , Alberto Bononi

Frequency blueshifting was recently observed in light pulses propagating on gas filled hollow-core photonic crystal fibers where a plasma has been produced due to photoionization of the gas. One of the propagation models that is adequate to…

Optics · Physics 2015-01-21 M. Facao , M. I. Carvalho

A stochastic theory is developed for the light transmitting the optical media exhibiting linear and nonlinear birefringence. The starting point is the two--component nonlinear Schr{"o}dinger equation (NLSE). On the basis of the ansatz of…

Statistical Mechanics · Physics 2018-05-15 Satoshi Tsuchida , Hiroshi Kuratsuji

The propagation of high-power femtosecond laser pulses in air under conditions of superposed spatial phase modulation is considered theoretically. The numerical simulations are carried out on the basis of the reduced form of nonlinear…

Optics · Physics 2022-01-14 Yury Geints , Olga Minina , Alexander Zemlyanov

In this work, we perform a detailed review about the theoretical modeling of the optical propagation of ultra-short pulses in different scenarios of nonlinear optics. In particular, we focus our efforts on optical fibers and uniform media,…

Optics · Physics 2018-07-02 Andrés Macho Ortiz , Roberto Llorente Sáez

We consider coupled nonlinear Schrodinger equations (CNLSE) which govern the propagation of nonlinear waves in bimodal optical fibers. The nonlinear transform of a dual-frequency signal is used to generate an ultra-short-pulse train. To…

Pattern Formation and Solitons · Physics 2009-11-10 K. W. Chow , K. Nakkeeran , Boris A. Malomed

We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a defocusing nonlinear optical material in the presence of a uniform background light intensity. For short propagation distances the…

Pattern Formation and Solitons · Physics 2019-03-04 M. Isoard , A. M. Kamchatnov , N. Pavloff

We introduce a versatile numerical method for modeling light diffraction in periodically patterned photonic structures containing quadratically nonlinear non-centrosymmetric optical materials. Our approach extends the generalized source…

Optics · Physics 2015-06-23 Martin Weismann , Dominic F. G. Gallagher , Nicolae C. Panoiu

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…

Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its…

Pattern Formation and Solitons · Physics 2020-03-23 Shiva Kumar , Jing Shao

In cater the need of Beyond 5G communications, large numbers of data driven artificial intelligence based fiber models has been put forward as to utilize artificial intelligence's regression ability to predict pulse evolution in fiber…

Artificial Intelligence · Computer Science 2024-08-20 Yubin Zang , Boyu Hua , Zhenzhou Tang , Zhipeng Lin , Fangzheng Zhang , Simin Li , Zuxing Zhang , Hongwei Chen

We develop a framework to describe gravitational wave propagation through a stochastic distribution of weak gravitational lenses beyond the geometric optics limit. We model the lens distribution as a static random background field and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-17 Ripalta Amoruso , Ginevra Braga , Alice Garoffolo , Francescopaolo Lopez , Nicola Bartolo , Sabino Matarrese

We quantify noise-induced phase deviations of dispersion-managed solitons in optical fiber communications and femtosecond lasers. We first develop a perturbation theory for the dispersion-managed nonlinear Schrodinger equation (DMNLSE) in…

Pattern Formation and Solitons · Physics 2009-07-15 Elaine Spiller , Gino Biondini

In the presence of additive Gaussian noise, the statistics of the nonlinear Fourier transform (NFT) of a pulse are not yet completely known in closed form. In this paper, we propose a novel approach to study this problem. Our contributions…

Information Theory · Computer Science 2019-05-22 Francisco Javier Garcia-Gomez , Vahid Aref

In this paper, we begin with the nonlinear Schrodinger/Gross-Pitaevskii equation (NLSE/GPE) for modeling Bose-Einstein condensation (BEC) and nonlinear optics as well as other applications, and discuss their dynamical properties ranging…

Numerical Analysis · Mathematics 2015-06-15 Xavier Antoine , Weizhu Bao , Christophe Besse

We introduce a system of fractional nonlinear Schroedinger equations (FNLSEs) which model the copropagation of optical waves carried by different wavelengths or mutually orthogonal circular polarizations in fiber-laser cavities with the…

Pattern Formation and Solitons · Physics 2024-05-14 Tandin Zangmo , Thawatchai Mayteevarunyoo , Boris A. Malomed

The nonlinear Fourier transform, which is also known as the forward scattering transform, decomposes a periodic signal into nonlinearly interacting waves. In contrast to the common Fourier transform, these waves no longer have to be…

Information Theory · Computer Science 2015-11-24 Sander Wahls , H. Vincent Poor

Using the generalized perturbation reduction method the scalar nonlinear Schr\"odinger equation is transformed to the coupled nonlinear Schr\"odinger equations for auxiliary functions. A solution in the form of a two-component vector…

Exactly Solvable and Integrable Systems · Physics 2020-12-23 G. T. Adamashvili

Linear and nonlinear distortions in optical communication signals are equalized using an integrated feed-forward Photonic Neural Network (PNN). The PNN is based on a linear stage made of an 8-tap Finite Impulse Response (FIR) filter,…

We derive a nonlinear envelope equation to describe the propagation of broadband optical pulses in second order nonlinear materials. The equation is first order in the propagation coordinate and is valid for arbitrarily wide pulse…

Optics · Physics 2013-08-09 Matteo Conforti , Fabio Baronio , Costantino De Angelis