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Mathematical model of optical amplifier using nonlinear stimulated Brillouin scattering (SBS) in optical fiber
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We demonstrate the results of a mathematical model for investigation the nonlinear Stimulated Brillouin Scattering (SBS), which can be employed to achieve high optical amplifier. The SBS is created by interaction between the incident We demonstrate the results of a mathematical model for investigation the nonlinear Stimulated Brillouin Scattering (SBS), which can be employed to achieve high optical amplifier. The SBS is created by interaction between the incident light and the acoustic vibration fiber. The design criteria and the amplification characteristic of the Brillouin amplifier is demonstrated and discussed for fiber Brillouin amplifier using different pump power with different fiber length. The results show, high Brillouin gain can be achieved with high pump power and long effective fiber length.and the acoustic vibration fiber. The design criteria and the amplification characteristic of the Brillouin amplifier is demonstrated and discussed for fiber Brillouin amplifier using different pump power with different fiber length. The results show, high Brillouin gain can be achieved with high pump power and long effective fiber length.

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Publication Date
Sun Jan 25 2026
Journal Name
Mathematics
A Mathematical Analysis of Wind-Driven Bottom-Up Interactions in a Plant–Ungulate–Wolf Ecosystem
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Understanding how abiotic influences affect organisms and their interactions within ecological communities has long been of interest to ecologists. The significance of this comprehension has increased given rapid human-induced climate change. Wind speed variation is one of the less researched effects of climate change, as wind speeds worldwide are generally falling. Although wind is a fairly universal component of the environment, relatively little work has been conducted to integrate our knowledge of how wind affects interactions between different species. In this study, the influence of wind on bottom-up trophic interactions in the plant–ungulate–wolf food chain has been investigated through mathematical modeling. Positivity and bound

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Publication Date
Fri Feb 08 2019
Journal Name
Iraqi Journal Of Laser
Refractive Index Scaling in Hollow Core Photonic Crystal Fiber
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In this paper, simulation study of the frequency shift of photonic bandgaps due to refractive index scaling using liquids filled hollow-core photonic crystal fibers is presented. Different liquids (distilled water, n-hexane, methanol, ethanol and acetone) are used to fill the cladding of 2 types of hollow core photonic crystal fibers (HC19-1060, HC7-1060). These liquids are used to change the effective index scaling and index contrast of the cladding. The effect of increasing temperature of the liquid (20-100 0C for water and 20-70 0C for other liquids ) infiltrated hollow core fiber on the bandgap width and transmission properties has been computed. The maximum photonic bandgap width at 0.0243 has appeared with filling HC7-1060 PCF with

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Publication Date
Tue Jun 20 2023
Journal Name
Baghdad Science Journal
Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method
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This paper considers a new Double Integral transform called Double Sumudu-Elzaki transform DSET. The combining of the DSET with a semi-analytical method, namely the variational iteration method DSETVIM, to arrive numerical solution of nonlinear PDEs of Fractional Order derivatives. The proposed dual method property decreases the number of calculations required, so combining these two methods leads to calculating the solution's speed. The suggested technique is tested on four problems. The results demonstrated that solving these types of equations using the DSETVIM was more advantageous and efficient

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Publication Date
Tue Jun 20 2023
Journal Name
Baghdad Science Journal
Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method
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This paper considers a new Double Integral transform called Double Sumudu-Elzaki transform DSET. The combining of the DSET with a semi-analytical method, namely the variational iteration method DSETVIM, to arrive numerical solution of nonlinear PDEs of Fractional Order derivatives. The proposed dual method property decreases the number of calculations required, so combining these two methods leads to calculating the solution's speed. The suggested technique is tested on four problems. The results demonstrated that solving these types of equations using the DSETVIM was more advantageous and efficient

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Publication Date
Sun Nov 01 2020
Journal Name
Journal Of Physics: Conference Series
Role of ZnO content on the structural, morphology and optical properties of (NiO)1-x (ZnO) x thin films prepared by pulsed laser deposition technique
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Abstract<p>(NiO) <sub>1-x</sub> (ZnO) <sub>x</sub> compounds were prepared with different composition ratios. The compounds were obtained by mixing Nickle oxide and zinc oxide in the appropriate ratio and sintered at 1000°C for six hours. Pulsed laser deposition (PLD) method which is simple and inexpensive method was used to deposit (NiO) <sub>1-x</sub> (ZnO) <sub>x</sub> thin films on glass substrate at ambient temperature. Structural, optical and properties were investigated. The structures investigation obtained from x-ray diffraction showed that the prepared of compound as well as thin films have polycrystalline structure where the diffraction peaks w</p> ... Show More
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Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Investigating the Effect of ZnO on the Structural and Optical Properties of (MgO)<sub>1-x</sub>(ZnO)<sub>x</sub> via Pulsed Laser Deposition
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Abstract<p>This work concerned with effect of zinc oxide concentrating on the structural and optical properties of (MgO)<sub>1-x</sub>(ZnO)<sub>x</sub> thin films. (MgO)<sub>1-x</sub>(ZnO)<sub>x</sub> compounds were produced by mixing the two oxides powders accordance to the atomic ratios and compressed as pellets, these pellets were sintered in an oven at temperature1273K for five hours. Thin films from (MgO)<sub>1-x</sub>(ZnO)<sub>x</sub> compounds were obtained using pulsed laser deposition technique using Nd:YAG laser . The results of x-ray diffraction as well as UV-Visible- spectrophotometer measurements transmittance of (MgO)<jats></jats></p> ... Show More
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Publication Date
Thu Jun 01 2023
Journal Name
Optik
Combination of near-field and scattering effects in plasmonic perovskite solar cell including cobalt doped nickel oxide HTL
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Publication Date
Wed Jan 01 2020
Journal Name
Journal Of King Saud University - Science
Three iterative methods for solving second order nonlinear ODEs arising in physics
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Publication Date
Thu Oct 01 2020
Journal Name
Biochemical And Cellular Archives
QUANTITATIVE ANALYSIS OF SOME AROMATIC AMINO ACIDS BY SPECTROPHOTOMETRIC MATHEMATICAL DERIVATIZATION
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A simple UV spectrophotometric differential derivatization method was performed for the simultaneous quantification of three aromatic amino acids of tryptophan, the polar tyrosine and phenylalanine TRP, TYR and PHE respectively. The avoidance of the time and reagents consuming steps of sample preparation or analyze separation from its bulk of interferences made the approach environmentally benign, sustainable and green. The linear calibration curves of differential second derivative were built at the optimum wavelength for each analyze (218.9, 236.1 and 222.5 nm) for PHE, TRP and TYR respectively. Quantification for each analyze was in the concentration range of (1.0– 45, 0.1–20.0 and 1.0– 50.0 μg/ml) at replicates of (n=3) with a re

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Publication Date
Fri Dec 30 2022
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Mathematical Modeling and Kinetics of Removing Metal Ions from Industrial Wastewater
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The study's objective is to produce Nano Graphene Oxide (GO) before using it for batch adsorption to remove heavy metals (Cadmium Cd+2, Nickel Ni+2, and Vanadium V+5) ions from industrial wastewater. The temperature effect (20-50) °C and initial concentration effect (100-800) mg L-1 on the adsorption process were studied. A simulation aqueous solution of the ions was used to identify the adsorption isotherms, and after the experimental data was collected, the sorption process was studied kinetically and thermodynamically. The Langmuir, Freundlich, and Temkin isotherm models were used to fit the data. The results showed that Cd, Ni, and V ions on the GO adsorbing surface matched the Langmuir model with correlation coefficients (R2)

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