Abstract
Recent theoretical investigations have demonstrated that the stability of mode-locked solution of multiple frequency channels depends on the degree of inhomogeneity in gain saturation. In this paper, these results are generalized to determine conditions on each of the system parameters necessary for both the stability and existence of mode-locked pulse solutions for an arbitrary number of frequency channels. In particular, we find that the parameters governing saturable intensity discrimination and gain inhomogeneity in the laser cavity also determine the position of bifurcations of solution types. These bifurcations are completely characterized in terms of these parameters. In addition to influencing the stability of mode-locked solutions, we determine a balance between cubic gain and quintic loss, which is necessary for existence of solutions as well. Furthermore, we determine the critical degree of inhomogeneous gain broadening required to support pulses in multiple frequency channels.
Original language | English |
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Title of host publication | Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX |
Editors | Peter E. Powers |
Place of Publication | Bellingham, WA (US) |
Publisher | SPIE |
Number of pages | 12 |
ISBN (Print) | 978-0-8194-7978-5 |
DOIs | |
Publication status | Published - 17 Feb 2010 |
Event | Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX - San Francisco, CA, United States Duration: 25 Jan 2010 → 28 Jan 2010 |
Publication series
Name | SPIE Proceedings |
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Publisher | SPIE |
Volume | 7582 |
ISSN (Print) | 0277-786X |
ISSN (Electronic) | 2410-9045 |
Conference
Conference | Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX |
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Country/Territory | United States |
City | San Francisco, CA |
Period | 25/01/10 → 28/01/10 |
Bibliographical note
Edward Farnum; Brandon G. Bale and J. Nathan Kutz; "Mode-locked laser pulse sources for wavelength division multiplexing", Proc. SPIE 7582, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX, 758216 (February 17, 2010).Copyright 2010. Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
DOI: http://dx.doi.org/10.1117/12.840750
Keywords
- mode-locked lasers
- wavelength division multiplexing