An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method
We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending...
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| Format: | Article |
| Language: | English |
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Jurusan Fisika, FMIPA Universitas Andalas
2022-11-01
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| Series: | JIF (Jurnal Ilmu Fisika) |
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| Online Access: | http://jif.fmipa.unand.ac.id/index.php/jif/article/view/502 |
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| author | Zulfi Abdullah Trengginas Eka Putra Sutantyo Mahdhivan Syafwan Ahmad Ripai Hanifah Azzaura Musyayyadah Mohamad Nazri Abdul Halif |
| author_facet | Zulfi Abdullah Trengginas Eka Putra Sutantyo Mahdhivan Syafwan Ahmad Ripai Hanifah Azzaura Musyayyadah Mohamad Nazri Abdul Halif |
| author_sort | Zulfi Abdullah |
| collection | DOAJ |
| description |
We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending on the fiber attenuation constant of α. Considering fiber loss features on the equation, we write one set modification of the NLSE and make models the main topic of our work. We solved the model and found a straightforward analytical solution of modified NLSE for the system via the direct solution method. To the best of our knowledge, no literature has presented such as solution yet. By substituting them into equations, we validate solutions. It is valid as an exact solution to the NLSE. Lastly, we found a solution offering soliton propagation suitable for the system under study.
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| first_indexed | 2024-04-12T08:56:56Z |
| format | Article |
| id | doaj.art-4597b75d436f433f9682923a70b7f1ca |
| institution | Directory Open Access Journal |
| issn | 1979-4657 2614-7386 |
| language | English |
| last_indexed | 2024-04-12T08:56:56Z |
| publishDate | 2022-11-01 |
| publisher | Jurusan Fisika, FMIPA Universitas Andalas |
| record_format | Article |
| series | JIF (Jurnal Ilmu Fisika) |
| spelling | doaj.art-4597b75d436f433f9682923a70b7f1ca2022-12-22T03:39:21ZengJurusan Fisika, FMIPA Universitas AndalasJIF (Jurnal Ilmu Fisika)1979-46572614-73862022-11-0115110.25077/jif.15.1.13-21.2023An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method Zulfi Abdullah0Trengginas Eka Putra Sutantyo1Mahdhivan Syafwan2Ahmad Ripai3Hanifah Azzaura Musyayyadah4Mohamad Nazri Abdul Halif5Theoretical Physics Laboratory, Department of Physics, Faculty of Mathematics and Natural Science, Universitas Andalas, Padang, IndonesiaTheoretical Physics Laboratory, Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, IndonesiaTheoretical Physics Laboratory, Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, IndonesiaInstitute of Engineering Mathematics, Faculty of Applied Science and Humanities, Universiti Malaysia Perlis (UNIMAP) Pauh Putra Campus, 02600, Arau, Perlis, MalaysiaInstitute of Engineering Mathematics, Faculty of Applied Science and Humanities, Universiti Malaysia Perlis (UNIMAP) Pauh Putra Campus, 02600, Arau, Perlis, Malaysia We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending on the fiber attenuation constant of α. Considering fiber loss features on the equation, we write one set modification of the NLSE and make models the main topic of our work. We solved the model and found a straightforward analytical solution of modified NLSE for the system via the direct solution method. To the best of our knowledge, no literature has presented such as solution yet. By substituting them into equations, we validate solutions. It is valid as an exact solution to the NLSE. Lastly, we found a solution offering soliton propagation suitable for the system under study. http://jif.fmipa.unand.ac.id/index.php/jif/article/view/502NLSEnonlinear fiber opticssolitonfiber lossesdirect solution method |
| spellingShingle | Zulfi Abdullah Trengginas Eka Putra Sutantyo Mahdhivan Syafwan Ahmad Ripai Hanifah Azzaura Musyayyadah Mohamad Nazri Abdul Halif An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method JIF (Jurnal Ilmu Fisika) NLSE nonlinear fiber optics soliton fiber losses direct solution method |
| title | An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method |
| title_full | An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method |
| title_fullStr | An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method |
| title_full_unstemmed | An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method |
| title_short | An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method |
| title_sort | exact solution of nonlinear schrodinger equation in a lossy fiber system using direct solution method |
| topic | NLSE nonlinear fiber optics soliton fiber losses direct solution method |
| url | http://jif.fmipa.unand.ac.id/index.php/jif/article/view/502 |
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