Maximization of Gain in Slow-Light Silicon Raman Amplifiers
We theoretically study the problem of Raman gain maximization in uniform silicon photonic-crystal waveguides supporting slow optical modes. For the first time, an exact solution to this problem is obtained within the framework of the undepleted-pump approximation. Specifically, we derive analytical...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2011/581810 |
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| author | Ivan D. Rukhlenko Malin Premaratne Govind P. Agrawal |
| author_facet | Ivan D. Rukhlenko Malin Premaratne Govind P. Agrawal |
| author_sort | Ivan D. Rukhlenko |
| collection | DOAJ |
| description | We theoretically study the problem of Raman gain maximization in uniform silicon photonic-crystal waveguides supporting slow
optical modes. For the first time, an exact solution to this problem is obtained within the framework of the undepleted-pump
approximation. Specifically, we derive analytical expressions for the maximum signal gain, optimal input pump power, and
optimal length of a silicon Raman amplifier and demonstrate that the ultimate gain is achieved when the pump beam propagates
at its maximum speed. If the signal’s group velocity can be reduced by a factor of 10 compared to its value in a bulk silicon,
it may result in ultrahigh gains exceeding 100 dB. We also optimize the device parameters of a silicon Raman amplifier in the
regime of strong pump depletion and come up with general design guidelines that can be used in practice. |
| format | Article |
| id | doaj-art-a2ead14bc6844f169ed7201da2e320b2 |
| institution | Kabale University |
| issn | 1687-9384 1687-9392 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-a2ead14bc6844f169ed7201da2e320b22025-02-03T06:01:26ZengWileyInternational Journal of Optics1687-93841687-93922011-01-01201110.1155/2011/581810581810Maximization of Gain in Slow-Light Silicon Raman AmplifiersIvan D. Rukhlenko0Malin Premaratne1Govind P. Agrawal2Advanced Computing and Simulation Laboratory, Monash University, Clayton, VIC 3800, AustraliaAdvanced Computing and Simulation Laboratory, Monash University, Clayton, VIC 3800, AustraliaThe Institute of Optics, University of Rochester, Rochester, NY 14627, USAWe theoretically study the problem of Raman gain maximization in uniform silicon photonic-crystal waveguides supporting slow optical modes. For the first time, an exact solution to this problem is obtained within the framework of the undepleted-pump approximation. Specifically, we derive analytical expressions for the maximum signal gain, optimal input pump power, and optimal length of a silicon Raman amplifier and demonstrate that the ultimate gain is achieved when the pump beam propagates at its maximum speed. If the signal’s group velocity can be reduced by a factor of 10 compared to its value in a bulk silicon, it may result in ultrahigh gains exceeding 100 dB. We also optimize the device parameters of a silicon Raman amplifier in the regime of strong pump depletion and come up with general design guidelines that can be used in practice.http://dx.doi.org/10.1155/2011/581810 |
| spellingShingle | Ivan D. Rukhlenko Malin Premaratne Govind P. Agrawal Maximization of Gain in Slow-Light Silicon Raman Amplifiers International Journal of Optics |
| title | Maximization of Gain in Slow-Light Silicon Raman Amplifiers |
| title_full | Maximization of Gain in Slow-Light Silicon Raman Amplifiers |
| title_fullStr | Maximization of Gain in Slow-Light Silicon Raman Amplifiers |
| title_full_unstemmed | Maximization of Gain in Slow-Light Silicon Raman Amplifiers |
| title_short | Maximization of Gain in Slow-Light Silicon Raman Amplifiers |
| title_sort | maximization of gain in slow light silicon raman amplifiers |
| url | http://dx.doi.org/10.1155/2011/581810 |
| work_keys_str_mv | AT ivandrukhlenko maximizationofgaininslowlightsiliconramanamplifiers AT malinpremaratne maximizationofgaininslowlightsiliconramanamplifiers AT govindpagrawal maximizationofgaininslowlightsiliconramanamplifiers |