OPTICAL SPATIAL SOLITON IN STRONG NONLOCAL LOGARITHMIC MEDIUM

2013 ◽  
Vol 22 (03) ◽  
pp. 1350026
Author(s):  
QING WANG ◽  
JINGZHEN LI ◽  
XINGHUA WANG
Keyword(s):  
Gaussian Beam ◽  
Evolution Equations ◽  
Beam Width ◽  
Optical Soliton ◽  
Spatial Soliton ◽  
Kerr Medium ◽  
Initial Condition ◽  
Initial Beam ◽  
Spatial Optical Soliton ◽  
The Difference

In this paper, the propagation of Gaussian beam in strong nonlocal logarithmic medium is studied, and the evolution equations for the parameters are obtained. The initial condition of forming spatial optical soliton in this kind of medium, which requires the initial beam on-waist incident and its width equaling to the critical beam width, is different from that in strong nonlocal Kerr medium. The reason of the difference is also analyzed. Moreover, the result shows that the beam width will oscillate periodically when the initial condition is dissatisfied. In addition, we discuss the influence of the initial beam width on oscillating range.

scholarly journals Effects of Turbulence on the Vortex Modes Carried by Quasi-Diffracting Free Finite Energy Beam in Ocean

2020 ◽  
Vol 8 (6) ◽  
pp. 458
Author(s):  
Qiyong Liang ◽  
Yixin Zhang ◽  
Dongyu Yang
Keyword(s):  
Gaussian Beam ◽  
Cone Angle ◽  
Wave Structure ◽  
Beam Width ◽  
Finite Energy ◽  
Energy Beam ◽  
Initial Beam ◽  
Oceanic Turbulence ◽  
Wireless Optical Communication ◽  
Ellipticity Parameter

By developing new wave structure function of a beam waves, we derive the transmitting probability of signal vortex modes in oceanic turbulence based on Rytov approximation theory. Applying this transmitting probability of signal vortex modes, we study the influence of oceanic turbulence on the transmittance of the vortex modes carried by Mathieu-Gaussian beam. This model shows the transmitting probability of Mathieu-Gaussian beam with narrow initial beam width, long wavelength, and small ellipticity parameter is higher than the transmitting probability of the signal vortex modes in case of the beam with wide initial beam width, short wavelength, and great ellipticity parameter. Furthermore, when Mathieu-Gaussian beam has a suitable semi-cone angle, the effect of weak-turbulence channel on the transmitting probability of signal vortex modes with different topological charge can be ignored. Mathieu-Gaussian beam is a more suitable carrier for high information channel of underwater wireless optical communication than Laguerre-Gaussian beam.

scholarly journals Evolution of rectangular and triangular initial beam profiles in positive Kerr local medium

2020 ◽  
Vol 1 (1) ◽  
pp. 13-17
Author(s):  
M. Hesami ◽  
M. Avazpour ◽  
M. M. Méndez Otero ◽  
J. Jesús Arriaga Rodríguez
Keyword(s):  
Initial Step ◽  
Beam Profile ◽  
Spatial Soliton ◽  
Kerr Medium ◽  
Third Order ◽  
Focusing Effect ◽  
Initial Beam ◽  
Self Focusing ◽  
Matlab Program ◽  
Local Medium

The hyperbolic secant (Sech) shape, as the initial beam profile, is the well-know profile that compensates the diffraction and self-focusing effect during propagation in Kerr medium, and evolves as the bright spatial soliton. The Sech beam can be confined in the Kerr medium andinduces its own waveguide. In this work, two initial beam profiles, rectangular and triangular functions, that are different than Sech profile, are considered, and the propagation of these beam profiles in third-order nonlinear (Kerr) medium is investigated. As a result, the initialbeam-width played an important role in confining the beam profiles in direction of propagation. In addition, the intensity profiles change to the Sech profile after some initial step of propagation. All the calculations and simulations have been done by the Split-Step numericalmethod with MATLAB program.

Propagation of Airy–Gaussian beam in Kerr medium

2015 ◽  
Vol 17 (3) ◽  
pp. 035504 ◽  
Author(s):  
Chidao Chen ◽  
Bo Chen ◽  
Xi Peng ◽  
Dongmei Deng
Keyword(s):  
Gaussian Beam ◽  
Kerr Medium

New optical soliton solutions via two distinctive schemes for the DNA Peyrard–Bishop equation in fractal order

2021 ◽  
pp. 2150444
Author(s):  
Loubna Ouahid ◽  
M. A. Abdou ◽  
S. Owyed ◽  
Sachin Kumar
Keyword(s):  
Evolution Equations ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Optical Soliton ◽  
Nonlinear Evolution Equations ◽  
Hyperbolic Function ◽  
Closed Form Solutions ◽  
Special Solutions ◽  
Engineering Physics ◽  
Exact Soliton Solutions

The deoxyribonucleic acid (DNA) dynamical equation, which emerges from the oscillator chain known as the Peyrard–Bishop (PB) model for abundant optical soliton solutions, is presented, along with a novel fractional derivative operator. The Kudryashov expansion method and the extended hyperbolic function (HF) method are used to construct novel abundant exact soliton solutions, including light, dark, and other special solutions that can be directly evaluated. These newly formed soliton solutions acquired here lead one to ask whether the analytical approach could be extended to deal with other nonlinear evolution equations with fractional space–time derivatives arising in engineering physics and nonlinear sciences. It is noted that the newly proposed methods’ performance is most reliable and efficient, and they will be used to construct new generalized expressions of exact closed-form solutions for any other NPDEs of fractional order.

Elliptical Hermite-Gaussian Spatial Optical Soliton and Phase Shift

2012 ◽  
Vol 49 (2) ◽  
pp. 021901
Author(s):  
王清 Wang Qing ◽  
王形华 Wang Xinghua ◽  
谢应茂 Xie Yingmao ◽  
罗兴垅 Luo Xinglong ◽  
黎东波 Li Dongbo
Keyword(s):  
Phase Shift ◽  
Optical Soliton ◽  
Spatial Optical Soliton

scholarly journals Higher-order Lagrangian perturbative theory for the Cosmic Web

2014 ◽  
Vol 11 (S308) ◽  
pp. 119-120
Author(s):  
Takayuki Tatekawa ◽  
Shuntaro Mizuno
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Initial Conditions ◽  
Higher Order ◽  
Order Perturbation ◽  
Initial Condition ◽  
The Difference ◽  
Fifth Order ◽  
The Universe ◽  
Higher Order Lagrangian

AbstractZel'dovich proposed Lagrangian perturbation theory (LPT) for structure formation in the Universe. After this, higher-order perturbative equations have been derived. Recently fourth-order LPT (4LPT) have been derived by two group. We have shown fifth-order LPT (5LPT) In this conference, we notice fourth- and more higher-order perturbative equations. In fourth-order perturbation, because of the difference in handling of spatial derivative, there are two groups of equations. Then we consider the initial conditions for cosmological N-body simulations. Crocce, Pueblas, and Scoccimarro (2007) noticed that second-order perturbation theory (2LPT) is required for accuracy of several percents. We verify the effect of 3LPT initial condition for the simulations. Finally we discuss the way of further improving approach and future applications of LPTs.

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