Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber
In this paper, we present a novel extension of the well-known split-step Fourier transform (SSFT) approach for solving the one-dimensional nonlinear Schrödinger equation (NLSE), which incorporates the fiber loss term. While this essential equation governs the pulse propagation in a lossy optical fib...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8316404 |
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| author | Neveen G. A. Farag Ahmed H. Eltanboly M. S. El-Azab S. S. A. Obayya |
| author_facet | Neveen G. A. Farag Ahmed H. Eltanboly M. S. El-Azab S. S. A. Obayya |
| author_sort | Neveen G. A. Farag |
| collection | DOAJ |
| description | In this paper, we present a novel extension of the well-known split-step Fourier transform (SSFT) approach for solving the one-dimensional nonlinear Schrödinger equation (NLSE), which incorporates the fiber loss term. While this essential equation governs the pulse propagation in a lossy optical fiber, it is not supported by an exact analytical solution. In this regard, extended versions of the Fourier pseudospectral method (FPSM) and Hopscotch method (HSM) are effectively established as well to cope with the fiber losses effects associated with the pulses’ propagation through the fiber optics, and thus, numerous comparisons are exhaustively conducted among these three compelling numerical approaches to validate their reliability, stability, and accuracy. Based on this, the MATLAB numerical findings bolster that the extended version of the SSFT approach demonstrates superior performance over the other suggested schemes in simulating the solitons propagation in a lossy optical fiber. |
| format | Article |
| id | doaj-art-eacc118f9d284fe381e8ad983d0f29a1 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-eacc118f9d284fe381e8ad983d0f29a12025-08-20T02:21:39ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8316404Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical FiberNeveen G. A. Farag0Ahmed H. Eltanboly1M. S. El-Azab2S. S. A. Obayya3Mathematics and Engineering Physics DepartmentMathematics and Engineering Physics DepartmentMathematics and Engineering Physics DepartmentCentre for Photonics and Smart MaterialsIn this paper, we present a novel extension of the well-known split-step Fourier transform (SSFT) approach for solving the one-dimensional nonlinear Schrödinger equation (NLSE), which incorporates the fiber loss term. While this essential equation governs the pulse propagation in a lossy optical fiber, it is not supported by an exact analytical solution. In this regard, extended versions of the Fourier pseudospectral method (FPSM) and Hopscotch method (HSM) are effectively established as well to cope with the fiber losses effects associated with the pulses’ propagation through the fiber optics, and thus, numerous comparisons are exhaustively conducted among these three compelling numerical approaches to validate their reliability, stability, and accuracy. Based on this, the MATLAB numerical findings bolster that the extended version of the SSFT approach demonstrates superior performance over the other suggested schemes in simulating the solitons propagation in a lossy optical fiber.http://dx.doi.org/10.1155/2022/8316404 |
| spellingShingle | Neveen G. A. Farag Ahmed H. Eltanboly M. S. El-Azab S. S. A. Obayya Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber Journal of Function Spaces |
| title | Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber |
| title_full | Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber |
| title_fullStr | Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber |
| title_full_unstemmed | Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber |
| title_short | Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber |
| title_sort | extended split step fourier transform approach for accurate characterization of soliton propagation in a lossy optical fiber |
| url | http://dx.doi.org/10.1155/2022/8316404 |
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