Raman like perturbation on an optical pulse propagation—a different outlook |
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| Institution: | 1. Shanghai Key Laboratory of Engineering Structure Safety, Shanghai Research Institute of Building Science, Shanghai 200032, China;2. Tongji University, Shanghai 200032, China;3. China Research Center for Emergency Management, Wuhan University of Technology, Wuhan 430070, China;4. School of Management, Wuhan University of Technology, Wuhan 430070, China;5. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, China;1. Graduate School of Systems and Information Engineering, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan;2. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, 8100, Bangladesh;3. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran;4. Young Researchers and Elite Club, Lahijan Branch, Islamic Azad University, Lahijan, Iran |
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| Abstract: | Effect of Raman like perturbations on the propagation characteristics of an optical pulse in a fiber is simulated in different manner. The optical pulse is described by a modified NLS equation, which is coupled with a vibrational equation describing the Raman perturbation due to the molecular oscillation. Two different approaches are used to analyze the equation. In the first approach both the coupled equations are treated through projection operator technique to derive the ODE’s for describing the evolution of the pulse parameters. On the other hand in the later technique we could reduce the system to a new NLS equation which was then studied in a similar manner. The numerical results and the behaviour of the parameters predicted by both the methodologies reasonably tallies with each other. The detailed change of the amplitude, chirp, phase, and width of the pulse is analyzed. It is then shown how dispersion management partially restores the projected pulse. And lastly it is demonstrated that including a distance dependent amplification or an amplification map we can get back the required periodic structure required for a long haul transmission. |
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