A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers
Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2008
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| Online Access: | http://hdl.handle.net/1721.1/42454 |
| _version_ | 1826204063026380800 |
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| author | Birge, Jonathan R. (Jonathan Richards) |
| author2 | Jacob K. White. |
| author_facet | Jacob K. White. Birge, Jonathan R. (Jonathan Richards) |
| author_sort | Birge, Jonathan R. (Jonathan Richards) |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008. |
| first_indexed | 2024-09-23T12:48:20Z |
| format | Thesis |
| id | mit-1721.1/42454 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:48:20Z |
| publishDate | 2008 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/424542019-04-10T07:46:37Z A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers Birge, Jonathan R. (Jonathan Richards) Jacob K. White. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Computation for Design and Optimization Program. Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008. Includes bibliographical references (p. 47-48). We solve the periodic boundary value problem for a mode-locked laser cavity using a specially preconditioned matrix-implicit Newton-Krylov solver. Solutions are obtained at least an order of magnitude faster than with dynamic simulation, the standard method. Our method is demonstrated experimentally on a one-dimensional temporal model of an eight femtosecond mode-locked laser operating in the dispersion-managed soliton regime. Our solver is applicable to finding the steady-state solution of any nonlinear optical cavity with moderate self phase modulation, such as those of solid state lasers, and requires only a model for the round-trip action of the cavity. We conclude by proposing avenues of future work to improve the method's convergence and expand its applicability to lasers with higher degrees of cavity nonlinearity. Our approach can be extended to spatio-temporal cavity models, potentially allowing for the first feasible simulation of the full dynamics of Kerr-lens mode locking. by Jonathan R. Birge. S.M. 2008-09-03T15:43:02Z 2008-09-03T15:43:02Z 2008 2008 Thesis http://hdl.handle.net/1721.1/42454 240704647 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 55 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Computation for Design and Optimization Program. Birge, Jonathan R. (Jonathan Richards) A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers |
| title | A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers |
| title_full | A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers |
| title_fullStr | A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers |
| title_full_unstemmed | A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers |
| title_short | A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers |
| title_sort | preconditioned newton krylov method for computing steady state pulse solutions of mode locked lasers |
| topic | Computation for Design and Optimization Program. |
| url | http://hdl.handle.net/1721.1/42454 |
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