The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems
The onset of multipulsing, a ubiquitous phenomenon in laser cavities, imposes a fundamental limit on the maximum energy delivered per pulse. Managing the nonlinear penalties in the cavity becomes crucial for increasing the energy and suppressing the multipulsing instability. A proper orthogonal deco...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2012/831604 |
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| author | Eli Shlizerman Edwin Ding Matthew O. Williams J. Nathan Kutz |
| author_facet | Eli Shlizerman Edwin Ding Matthew O. Williams J. Nathan Kutz |
| author_sort | Eli Shlizerman |
| collection | DOAJ |
| description | The onset of multipulsing, a ubiquitous phenomenon in laser cavities, imposes a fundamental limit on the maximum
energy delivered per pulse. Managing the nonlinear penalties in the cavity becomes crucial for increasing the energy and suppressing the multipulsing instability. A proper orthogonal decomposition (POD) allows for the reduction of governing equations of a mode-locked laser onto a low-dimensional space. The resulting reduced system is able to capture correctly the experimentally observed pulse transitions. Analysis of these models is used to explain the sequence of bifurcations that are responsible for the multipulsing instability in the master mode-locking and the waveguide array mode-locking models. As a result, the POD reduction allows for a simple and efficient way to characterize and optimize the cavity parameters for achieving maximal energy output. |
| format | Article |
| id | doaj-art-74b9ddf8711d41c5ae4addef6dc8d64f |
| institution | OA Journals |
| issn | 1687-9384 1687-9392 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-74b9ddf8711d41c5ae4addef6dc8d64f2025-08-20T02:07:20ZengWileyInternational Journal of Optics1687-93841687-93922012-01-01201210.1155/2012/831604831604The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical SystemsEli Shlizerman0Edwin Ding1Matthew O. Williams2J. Nathan Kutz3Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USADepartment of Mathematics and Physics, Azusa Pacific University, P.O. Box 7000, Azusa, CA 91702-7000, USADepartment of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USADepartment of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USAThe onset of multipulsing, a ubiquitous phenomenon in laser cavities, imposes a fundamental limit on the maximum energy delivered per pulse. Managing the nonlinear penalties in the cavity becomes crucial for increasing the energy and suppressing the multipulsing instability. A proper orthogonal decomposition (POD) allows for the reduction of governing equations of a mode-locked laser onto a low-dimensional space. The resulting reduced system is able to capture correctly the experimentally observed pulse transitions. Analysis of these models is used to explain the sequence of bifurcations that are responsible for the multipulsing instability in the master mode-locking and the waveguide array mode-locking models. As a result, the POD reduction allows for a simple and efficient way to characterize and optimize the cavity parameters for achieving maximal energy output.http://dx.doi.org/10.1155/2012/831604 |
| spellingShingle | Eli Shlizerman Edwin Ding Matthew O. Williams J. Nathan Kutz The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems International Journal of Optics |
| title | The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems |
| title_full | The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems |
| title_fullStr | The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems |
| title_full_unstemmed | The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems |
| title_short | The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems |
| title_sort | proper orthogonal decomposition for dimensionality reduction in mode locked lasers and optical systems |
| url | http://dx.doi.org/10.1155/2012/831604 |
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