Solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity having Kerr law of nonlinear refractive index

2021 ◽  
pp. 2050011
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Abdullah Khamis Alzahrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Kerr Effect ◽  
Chromatic Dispersion ◽  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Complete Spectrum ◽  
Kerr Law

This paper retrieves soliton solutions to fiber Bragg ratings with dispersive reflectivity where cubic–quartic dispersive effects are considered as opposed to the usual chromatic dispersion. The auxiliary equation approach and an addendum to Kudryashov’s scheme display a complete spectrum of soliton forms to the model that is studied with Kerr effect.

scholarly journals Optical Solutions in Fiber Bragg Gratings with Polynomial Law Nonlinearity and Cubic-Quartic Dispersive Reflectivity-=SUP=-*-=/SUP=-

2021 ◽  
Vol 129 (11) ◽  
pp. 1409
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Padmaja Guggilla ◽  
...  
Keyword(s):  
Refractive Index ◽  
Periodic Solutions ◽  
Nonlinear Refractive Index ◽  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Integration Schemes

Optical solitons with ber Bragg gratings and polynomial law of nonlinear refractive index are addressed in the paper. The auxiliary equation approach together with an addendum to Kudryashov's method identify soliton solutions to the model. Singular periodic solutions emerge from these integration schemes as a byproduct. Keywords: solitons; cubic-quartic; Bragg gratings.

Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov’s method and new extended auxiliary equation approach

2020 ◽  
Vol 66 ◽  
pp. 187-205 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Mahmoud El-Horbaty ◽  
Anjan Biswas ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Kerr Law

Cubic–Quartic Solitons in Couplers with Optical Metamaterials Having Power Law of Refractive Index

2021 ◽  
pp. 2050009
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Reham M. A. Shohib ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Nonlinear Refractive Index ◽  
Soliton Solutions ◽  
Optical Soliton ◽  
Optical Metamaterials

This paper studies couplers in optical metamaterials that come with power law of nonlinear refractive index. The Kudryashov’s approach reveals bright, singular as well as bright-singular straddled optical soliton solutions. Both twin-core couplers and multiple-core couplers are studied.

Picosecond nonlinear refraction of C2H4Cl2 and C2H4Br2 at 532nm studied with Z-scan technique

2018 ◽  
Vol 27 (02) ◽  
pp. 1850015
Author(s):  
Yu-Ting Kuo ◽  
Po-Yuan Huang ◽  
Yi-Ci Li ◽  
Jaw-Luen Tang ◽  
Tai-Huei Wei
Keyword(s):  
Refractive Index ◽  
Electric Field ◽  
Nonlinear Refractive Index ◽  
Kerr Effect ◽  
Nonlinear Response ◽  
Nonlinear Refraction ◽  
Molecular Motions ◽  
Time Resolved ◽  
Picosecond Pulses

We investigated optical nonlinear refraction (NLR) of C2H4Cl2 and C2H4Br2 using the [Formula: see text]-scan technique with 532[Formula: see text]nm 17 picosecond pulses delivered at 10[Formula: see text]Hz. We found that the latter shows larger positive Kerr nonlinear refractive index than the former, [Formula: see text][Formula: see text]cm2/W versus [Formula: see text][Formula: see text]cm2/W. According to our additional study on time-resolved Raman-induced Kerr effect, this observed trend is ascribed to stronger inter-molecular motions of diffusive reorientation and polarizability distortion in C2H4Br2 than in C2H4Cl2. This study helps to understand the nonlinear response of molecular motions to electric-field in great details which have not been well-defined previously.

scholarly journals Highly dispersive optical solitons having Kerr law of refractive index with Laplace-Adomian decomposition

2020 ◽  
Vol 66 (3 May-Jun) ◽  
pp. 291 ◽  
Author(s):  
O. González Gaxiola ◽  
Anjan Biswas ◽  
Ali Saleh Alshomrani
Keyword(s):  
Refractive Index ◽  
Error Analysis ◽  
Decomposition Method ◽  
Soliton Solutions ◽  
Adomian Decomposition Method ◽  
Optical Solitons ◽  
Bright Soliton ◽  
Kerr Law ◽  
Adomian Decomposition

This paper studies highly dispersive optical solitons, having Kerr law of refractive index, numerically. The adopted scheme is Laplace-Adomian decomposition method. Bright soliton solutions are displayed along with their respective error analysis.

scholarly journals Soliton solutions for non-linear Kudryashov's equation via three integrating schemes

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 157-163
Author(s):  
Saima Arshed ◽  
Mehdi Mirhosseini-Alizamini ◽  
Dumitru Baleanu ◽  
Hadi Rezazadeh ◽  
Mustafa Inc ◽  
...  
Keyword(s):  
Refractive Index ◽  
State Of The Art ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Auxiliary Equation ◽  
Art Integration ◽  
Auxiliary Equation Method ◽  
Integration Schemes ◽  
Proposed Model ◽  
Non Linear

This paper considers the non-linear Kudryashov's equation, that is an extension of the well-known dual-power law of refractive index and is analog to the generalized version of anti-cubic non-linearity. The model is considered in the presence of full non-linearity. The main objective of this paper is to extract soliton solutions of the proposed model. Three state-of-the-art integration schemes, namely modified auxiliary equation method, the sine-Gordon expansion method and the tanhcoth expansion method have been employed for obtaining the desired soliton solutions.

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