Soliton dynamics in optical fiber based on nonlinear Schrödinger equation
Optical fiber is a component of the green and sustainable internet. This paper analyzes the energy loss induced by the attenuation effect of electromagnetic waves during optical fiber propagation. The dynamics of the Hamiltonian, which was derived using the dynamics of the solution the Nonlinear Sch...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023014421 |
| _version_ | 1797851825422991360 |
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| author | Harish Abdillah Mardi Nasaruddin Nasaruddin Muhammad Ikhwan Nurmaulidar Nurmaulidar Marwan Ramli |
| author_facet | Harish Abdillah Mardi Nasaruddin Nasaruddin Muhammad Ikhwan Nurmaulidar Nurmaulidar Marwan Ramli |
| author_sort | Harish Abdillah Mardi |
| collection | DOAJ |
| description | Optical fiber is a component of the green and sustainable internet. This paper analyzes the energy loss induced by the attenuation effect of electromagnetic waves during optical fiber propagation. The dynamics of the Hamiltonian, which was derived using the dynamics of the solution the Nonlinear Schrödinger equation (NLS) problem, were used to investigate the energy drop. In this study, the Newton-Raphson (NR) approach was used to establish the stationary solution of the NLS problem, and the fourth order Runge-Kutta method was used to evaluate the dynamics of the solution (RK4). In this study, numerous parameters are adjusted, including group wave dispersion, nonlinearity, attenuation parameter, and potential trap. The solution of the NR approach is fairly close to the analytical solution based on the analytical solutions. The dynamics of the NLS equation solution are greatly influenced by parameters. The obtained results reveal that for large attenuation parameter values, the strength of the propagating electromagnetic waves decreases quite quickly. The result also shows that the other parameters studied must be maintained at the best conditions to support the attenuation parameters and potential trap. This condition is an indicator in the choice of the fundamental material for producing optical fiber, which should have a low attenuation and dispersion effect. |
| first_indexed | 2024-04-09T19:23:01Z |
| format | Article |
| id | doaj.art-0cfe40a6e9eb48899579b41c194c2b8c |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-09T19:23:01Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-0cfe40a6e9eb48899579b41c194c2b8c2023-04-05T08:21:31ZengElsevierHeliyon2405-84402023-03-0193e14235Soliton dynamics in optical fiber based on nonlinear Schrödinger equationHarish Abdillah Mardi0Nasaruddin Nasaruddin1Muhammad Ikhwan2Nurmaulidar Nurmaulidar3Marwan Ramli4Mathematics Graduate Program, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, IndonesiaElectrical and Computer Engineering Department, Universitas Syiah Kuala, Banda Aceh 23111, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, IndonesiaMathematics Graduate Program, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia; Corresponding author at: Mathematics Graduate Program, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia.Optical fiber is a component of the green and sustainable internet. This paper analyzes the energy loss induced by the attenuation effect of electromagnetic waves during optical fiber propagation. The dynamics of the Hamiltonian, which was derived using the dynamics of the solution the Nonlinear Schrödinger equation (NLS) problem, were used to investigate the energy drop. In this study, the Newton-Raphson (NR) approach was used to establish the stationary solution of the NLS problem, and the fourth order Runge-Kutta method was used to evaluate the dynamics of the solution (RK4). In this study, numerous parameters are adjusted, including group wave dispersion, nonlinearity, attenuation parameter, and potential trap. The solution of the NR approach is fairly close to the analytical solution based on the analytical solutions. The dynamics of the NLS equation solution are greatly influenced by parameters. The obtained results reveal that for large attenuation parameter values, the strength of the propagating electromagnetic waves decreases quite quickly. The result also shows that the other parameters studied must be maintained at the best conditions to support the attenuation parameters and potential trap. This condition is an indicator in the choice of the fundamental material for producing optical fiber, which should have a low attenuation and dispersion effect.http://www.sciencedirect.com/science/article/pii/S2405844023014421AttenuationDispersionHamiltonianNLS equationOptical fiber |
| spellingShingle | Harish Abdillah Mardi Nasaruddin Nasaruddin Muhammad Ikhwan Nurmaulidar Nurmaulidar Marwan Ramli Soliton dynamics in optical fiber based on nonlinear Schrödinger equation Heliyon Attenuation Dispersion Hamiltonian NLS equation Optical fiber |
| title | Soliton dynamics in optical fiber based on nonlinear Schrödinger equation |
| title_full | Soliton dynamics in optical fiber based on nonlinear Schrödinger equation |
| title_fullStr | Soliton dynamics in optical fiber based on nonlinear Schrödinger equation |
| title_full_unstemmed | Soliton dynamics in optical fiber based on nonlinear Schrödinger equation |
| title_short | Soliton dynamics in optical fiber based on nonlinear Schrödinger equation |
| title_sort | soliton dynamics in optical fiber based on nonlinear schrodinger equation |
| topic | Attenuation Dispersion Hamiltonian NLS equation Optical fiber |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023014421 |
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