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The excitation of soliton states in optical layers exhibiting Kerr nonlinearities is theoretically investigated. The optical transmission coefficient is obtained as a function of the nonlinearity power of an incident monochromatic…

The propagation of pulses in optical fibers is described by the generalized nonlinear Schrodinger equation (GNLSE), which takes into account the fiber losses, nonlinear effects, and higher-order chromatic dispersion. The GNLSE is a partial…

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

Squeezed light, which is easily degraded by loss, could benefit from generation directly in optical fiber. Furthermore, highly nonlinear fiber could offer more efficient generation with lower pump power and shorter fiber lengths than…

Optics · Physics 2023-03-17 Joseph C. Chapman , Nicholas A. Peters

We develop one numerical method to compute the optical vortex soliton with self-defocusing Kerr-type nonlocal nonlinearity. With the numerical simulation method, the propagation and interaction properties of such optical vortex solitons are…

Optics · Physics 2008-12-02 Shigen Ouyang , Qi Guo

The model underlying physics of guiding light in single-mode fibers -- the one-dimensional nonlinear Schr\"odinger equation (NLSE), reveals a remarkable balance of the fiber dispersion and nonlinearity, leading to the existence of optical…

Pattern Formation and Solitons · Physics 2024-09-25 Alexandre Mucci , Pierre Suret , François Copie , Stephane Randoux , Rustam Mullyadzhanov , Andrey Gelash

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

Quantum measurements that use the entangled photons' polarization to encode quantum information require calibration and alignment of the measurement bases between spatially separate observers. Because of the changing birefringence in…

Quantum Physics · Physics 2023-01-25 Evan Dowling , Mark Morris , Gerald Baumgartner , Rajarshi Roy , Thomas E. Murphy

We investigate the well-posedness theory of the 2-D fractional nonlinear Schr\"odinger equation (NLSE) with a mixed degree of derivatives. Motivated by models in optics and photonics where the light propagation is governed by non-quadratic,…

Analysis of PDEs · Mathematics 2023-09-29 Brian Choi , Alejandro Aceves

In this paper we study the smoothness properties of solutions to a one-dimensional coupled nonlinear Schr\"{o}dinger system equations that describes some physical phenomena such as propagation of polarized laser beams in birefringent Kerr…

We present a comprehensive study of stationary states in a coherent medium with a quadratic or Kerr nonlinearity in the presence of localized potentials in one dimension (1D) for both positive and negative signs of the nonlinear term, as…

Quantum Gases · Physics 2023-11-29 Allison Brattley , Hongyi Huang , Kunal K. Das

We present a comprehensive analysis of the the nonlinear optical Kerr effect in graphene. We directly solve the S-matrix element to calculate the absorption rate, utilizing the Volkov-Keldysh- type crystal wave functions. We then convert to…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Daniel B. S. Soh , Ryan Hamerly , Hideo Mabuchi

In this letter we describe a new and simple approach for modulating the electromagnetic wave propagating in a dielectric medium in the form of solitons by considering the torque developed between the induced dipoles in the medium and…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 V. Veerakumar , M. Daniel

We report the experimental observation of a novel transmission phenomenon in optical long-haul communication systems. Un-polarized ASE depolarizes via nonlinear fiber interactions a cw laser light during their co-propagation which leads to…

Signal Processing · Electrical Eng. & Systems 2019-02-15 Lothar Moeller

The nonlinear Schr\"odinger equation (NLSE) models the slowly varying envelope dynamics of a weakly nonlinear quasi-monochromatic wave packet in dispersive media. In the context of Bose-Einstein condensate (BEC), it is often referred to as…

Pattern Formation and Solitons · Physics 2019-12-24 N. Karjanto

We introduce spatiotemporal optical dark X solitary waves of the (2+1)D {hyperbolic} nonlinear Schr\"odinger equation (NLSE), that rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are…

Pattern Formation and Solitons · Physics 2016-09-01 F. Baronio , S. Wabnitz , S. Chen , M. Onorato , S. Trillo , Y. Kodama

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

The nonlinear magneto-optical Kerr-effect (NOLIMOKE) is determined for freestanding Fe monolayers with several in-plane structures from first principles. Based on the theory of nonlinear magneto-optics by H\"ubner and Bennemann [Phys. Rev.…

Materials Science · Physics 2009-10-31 J. P. Dewitz , W. Hübner

Using the Painlev\'{e} analysis, we investigate the integrability properties of a system of two coupled nonlinear Schr\"{o}dinger equations that describe the propagation of orthogonally polarized optical waves in an isotropic medium.…

solv-int · Physics 2009-10-31 Q-Han Park , H. J. Shin

We report on a novel and efficient source of polarization squeezing using a single pass through an optical fiber. Simply passing this Kerr squeezed beam through a carefully aligned lambda/2 waveplate and splitting it on a polarization beam…

Quantum Physics · Physics 2009-11-10 J. Heersink , V. Josse , G. Leuchs , U. L. Andersen