Influence of noise on the propagation of light pulses in optical fibers

The paper studies the dynamics of optical solitons in [Formula: see text]-dimensional nonlinear Schrödinger equation with Kerr and power law nonlinearities that describe the propagation of light pulses in optical fibers. First time the dark and singular optical solitons are extracted in [Formula: see text] dimensions. The [Formula: see text]-expansion scheme is used to analyze these solutions. Additionally, the constraint conditions for the existence of the solutions are also listed. However, the scheme fails to retrieve the bright soliton.

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Optical dark and singular solitons of generalized nonlinear Schrödinger’s equation with anti-cubic law of nonlinearity

Modern Physics Letters B ◽

10.1142/s0217984919501586 ◽

2019 ◽

Vol 33 (13) ◽

pp. 1950158 ◽

Cited By ~ 7

Author(s):

Nauman Raza ◽

Asad Zubair

Keyword(s):

Optical Fibers ◽

Soliton Solutions ◽

Algebraic Method ◽

Rational Solutions ◽

Schrödinger’S Equation ◽

Light Pulses ◽

Propagation Of Light ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

This work is devoted to scrutinize new optical soliton solutions to the spatially temporal [Formula: see text]-dimensional nonlinear Schrödinger’s equation (NLSE) with anti-cubic nonlinearity. Two different versatile integration architectures are used to extract these solitons. Extended direct algebraic method (EDAM) is utilized to pluck out optical, dark and singular soliton solutions, whereas generalized Kudryashov method (GKM) provides rational solutions. The fetched results are new and useful for the propagation of light pulses in optical fibers in [Formula: see text]-dimensions. For the existence of these solitons, constraint conditions are also listed.

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The local wave phenomenon in the quintic nonlinear Schrödinger equation by numerical methods

10.21203/rs.3.rs-835181/v1 ◽

2021 ◽

Author(s):

Yaning Tang ◽

Zaijun Liang ◽

Wenxian Xie

Keyword(s):

Optical Fibers ◽

Analytical Solutions ◽

Initial Conditions ◽

Fourier Method ◽

Nls Equation ◽

Nonlinear Schrödinger ◽

Light Pulses ◽

Propagation Of Light ◽

Wide Range ◽

Local Wave

Abstract The nonlinear Schrodinger hierarchy has a wide range of applications in modeling the propagation of light pulses in optical fibers. In this paper, we focus on the integrable nonlinear Schrodinger (NLS) equation with quintic terms, which play a prominent role when the pulse duration is very short. First, we investigate the spectral signatures of the spatial Lax pair with distinct analytical solutions and their periodized wavetrains by Fourier oscillatory method. Then, we numerically simulate the wave evolution of the quintic NLS equation from different initial conditions through the symmetrical split-step Fourier method. We find many localized high-peak structures whose profiles are very similar to the analytical solutions, and we analyze the formation of rouge waves (RWs) in different cases. These results may be helpful to understand the excitation of nonlinear waves in some nonlinear fields, such as optical fibers, oceanography and so on.

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Dynamics of optical solitons incorporating Kerr dispersion and self-frequency shift

Modern Physics Letters B ◽

10.1142/s0217984919502208 ◽

2019 ◽

Vol 33 (19) ◽

pp. 1950220

Author(s):

Asma Rashid Butt ◽

Muhammad Abdullah ◽

Nauman Raza

Keyword(s):

Frequency Shift ◽

Optical Fibers ◽

Laser Light ◽

Soliton Solutions ◽

Dark Soliton ◽

Optical Solitons ◽

Light Pulses ◽

Ode Method ◽

Analytical Approaches ◽

Extended Trial

This paper deals with the dynamics of optical solitons in nonlinear Schrödinger equation (NLSE) with cubic-quintic law nonlinearity in the presence of self-frequency shift and self-steepening. This type of equation describes the ultralarge capacity transmission and traveling of laser light pulses in optical fibers. Two robust analytical approaches are employed to determine contemporary solutions. Some new explicit rational, periodic and combo periodic soliton solutions are extracted using the extended trial equation method. The Riccati–Bernoulli sub-ODE method provided us with singular and dark soliton solutions. The constraints found are necessary for the existence of solitons.

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Deep Learning for Computational Mode Decomposition in Optical Fibers

Applied Sciences ◽

10.3390/app10041367 ◽

2020 ◽

Vol 10 (4) ◽

pp. 1367

Author(s):

Stefan Rothe ◽

Qian Zhang ◽

Nektarios Koukourakis ◽

Jürgen W. Czarske

Keyword(s):

Neural Network ◽

Optical Fibers ◽

High Performance ◽

Deep Neural Network ◽

Light Propagation ◽

Training Data ◽

Steady Increase ◽

Cyberphysical Systems ◽

Multimode Fibers ◽

Propagation Of Light

Multimode fibers are regarded as the key technology for the steady increase in data rates in optical communication. However, light propagation in multimode fibers is complex and can lead to distortions in the transmission of information. Therefore, strategies to control the propagation of light should be developed. These strategies include the measurement of the amplitude and phase of the light field after propagation through the fiber. This is usually done with holographic approaches. In this paper, we discuss the use of a deep neural network to determine the amplitude and phase information from simple intensity-only camera images. A new type of training was developed, which is much more robust and precise than conventional training data designs. We show that the performance of the deep neural network is comparable to digital holography, but requires significantly smaller efforts. The fast characterization of multimode fibers is particularly suitable for high-performance applications like cyberphysical systems in the internet of things.

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Construction of optical soliton solutions of the generalized nonlinear Radhakrishnan–Kundu–Lakshmanan dynamical equation with power law nonlinearity

International Journal of Modern Physics B ◽

10.1142/s0217979220501398 ◽

2020 ◽

Vol 34 (13) ◽

pp. 2050139 ◽

Cited By ~ 2

Author(s):

Aly R. Seadawy ◽

Sultan Z. Alamri ◽

Haya M. Al-Sharari

Keyword(s):

Optical Fibers ◽

Dynamical Equation ◽

Physical Phenomenon ◽

Soliton Solutions ◽

Optical Soliton ◽

Solitary Wave Solutions ◽

Light Pulses ◽

Wave Solutions ◽

Different Types ◽

Modified Simple Equation Method

The propagation of soliton through optical fibers has been studied by using nonlinear Schrödinger’s equation (NLSE). There are different types of NLSEs that study this physical phenomenon such as (GRKLE) generalized Radhakrishnan–Kundu–Lakshmanan equation. The generalized nonlinear RKL dynamical equation, which presents description of the dynamical of light pulses, has been studied. We used two formulas of the modified simple equation method to construct the optical soliton solutions of this model. The obtained solutions can be represented as bistable bright, dark, periodic solitary wave solutions.

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