Modulation of output power in the spatio-temporal analysis of a semi conductor laser |
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| Authors: | S. Banerjee M. Pizzi L. Rondoni |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt;3. Department of Mathematics, College of Science, Bisha University, Bisha, Saudi Arabia;1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China;2. School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China;3. International School, Beijing University of Posts and Telecommunications, Beijing, 100876, China;4. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China;5. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, 100876, China;6. School of Computer Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China;1. Department of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt;3. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt |
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| Abstract: | This paper examines the spatio temporal patterns of a set of a (2 + 1) dimensional partial differential equations (PDE) describing the dynamics of semiconductor external cavity THz lasers. The study is conducted in two phases: (a) first we show that the behaviour of the single mode system may be periodic or chaotic; (b) the output power may be optimized by proper choices of parameters, such as cavity length and injected current, which lead to high dimensional spatio-temporal chaotic regimes. This conclusion applies to systems with one and with two external cavities, and is robust with respect to variations of parameter values and initial-boundary conditions. |
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