Nonlinear dynamics of the additive-pulse modelocked laser
We have modeled the additive-pulse modelocked (APM) laser with a set of four nonlinear difference equations, that describe the transit of optical pulses through the main cavity and through an external cavity containing a single-mode optical fiber. Simulating the system under several parameter variat...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022698000089 |
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| _version_ | 1850223218785255424 |
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| author | E. J. Mozdy C. R. Pollock |
| author_facet | E. J. Mozdy C. R. Pollock |
| author_sort | E. J. Mozdy |
| collection | DOAJ |
| description | We have modeled the additive-pulse modelocked (APM) laser with a set of four nonlinear difference equations, that describe the transit of optical pulses through the main cavity and through an external cavity containing a single-mode optical fiber. Simulating the system under several parameter variations, including fiber length, gain, and fiber coupling, we have observed period-doubling bifurcations into chaos. In addition, the model predicted large regimes of quasiperiodicity, and crisis transitions between different chaotic regions. We have used the method of nearest neighbors, Lyapunov exponents, and attractor reconstruction to characterize the chaotic regimes and the different types of bifurcations. We have included bandwidth-limiting and monitoring provisions to prevent non-physical solutions. To our knowledge, this is the first such characterization of chaos in the APM laser, as well as the first evidence of crisis behavior. |
| format | Article |
| id | doaj-art-5df4dab014724153ab6450a7e64f0369 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5df4dab014724153ab6450a7e64f03692025-08-20T02:06:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-01229911010.1155/S1026022698000089Nonlinear dynamics of the additive-pulse modelocked laserE. J. Mozdy0C. R. Pollock1School of Electrical Engineering, Phillips Hall, Cornell University, Ithaca, NY 14853, USASchool of Electrical Engineering, Phillips Hall, Cornell University, Ithaca, NY 14853, USAWe have modeled the additive-pulse modelocked (APM) laser with a set of four nonlinear difference equations, that describe the transit of optical pulses through the main cavity and through an external cavity containing a single-mode optical fiber. Simulating the system under several parameter variations, including fiber length, gain, and fiber coupling, we have observed period-doubling bifurcations into chaos. In addition, the model predicted large regimes of quasiperiodicity, and crisis transitions between different chaotic regions. We have used the method of nearest neighbors, Lyapunov exponents, and attractor reconstruction to characterize the chaotic regimes and the different types of bifurcations. We have included bandwidth-limiting and monitoring provisions to prevent non-physical solutions. To our knowledge, this is the first such characterization of chaos in the APM laser, as well as the first evidence of crisis behavior.http://dx.doi.org/10.1155/S1026022698000089ModelockedLaserModelChaosBifurcation. |
| spellingShingle | E. J. Mozdy C. R. Pollock Nonlinear dynamics of the additive-pulse modelocked laser Discrete Dynamics in Nature and Society Modelocked Laser Model Chaos Bifurcation. |
| title | Nonlinear dynamics of the additive-pulse modelocked laser |
| title_full | Nonlinear dynamics of the additive-pulse modelocked laser |
| title_fullStr | Nonlinear dynamics of the additive-pulse modelocked laser |
| title_full_unstemmed | Nonlinear dynamics of the additive-pulse modelocked laser |
| title_short | Nonlinear dynamics of the additive-pulse modelocked laser |
| title_sort | nonlinear dynamics of the additive pulse modelocked laser |
| topic | Modelocked Laser Model Chaos Bifurcation. |
| url | http://dx.doi.org/10.1155/S1026022698000089 |
| work_keys_str_mv | AT ejmozdy nonlineardynamicsoftheadditivepulsemodelockedlaser AT crpollock nonlineardynamicsoftheadditivepulsemodelockedlaser |