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Brandon G. Bale
Fifth Year Graduate Student
Address: University of Washington
Department of Applied Mathematics
Box 352420
Seattle, WA 98195-2420
USA
Phone: 206-685-9304 Fax: 206-685-1440 E-mail: bbale@amath.washington.edu
Office: 826 Condon Hall
Research Interests
Currently I am working on mode-locking dynamics in fiber lasers. I investigate stable and robust mode-locked solutions in both the anomalous and normal dispersion regimes for various applications: ultra-fast mode-locking with spectral filters, multi-frequency mode-locking, and net zero dispersion laser cavities.Mathematically, the analysis and computation I use falls within the context of methods of contemporary dynamical systems, nonlinear wave propagation, perturbation theory, stability theory, nonlinear partial differential equations, and scientific computing.
Papers
1.) Brandon G. Bale, J. Nathan Kutz, and Frank Wise, Analytic theory of self-similar mode-locking , Opt. Lett. 33, 911-913 (2008).
2.) Brandon G. Bale, J. Nathan Kutz, Andy Chong, William H. Rennigner, and Frank Wise, Spectral Filtering for Ultra-fast Mode-locking in the Normal Dispersive Regime , Opt. Lett. 33, 941-943 (2008).
3.) Brandon G. Bale and J. Nathan Kutz, The Variational method for mode-locking , J. Soc. Opt. Am. B, accepted, (2008).
4.) Brandon G. Bale, Edward Farnum, and J. Nathan Kutz, Theory and Simulation of multi-frequency mode-locking using wave-guide arrays , IEEE J. of Quant. Elec, accepted, (2008).
5.) Brandon G. Bale, Bernard Deconinck, Richard Kollar, and J. Nathan Kutz, Nonlinear stability of plane wave solutions to the nonlocal nonlinear Schrodinger equaton , Phys. Lett. A, submitted, (2008).
6.) Brandon G. Bale, J. Nathan Kutz, Andy Chong, William H. Renninger, and Frank Wise, Spectral Filtering for High Power Mode-locking in the Normal Dispersion Regime , J. Opt. Soc. Am. B, submitted, (2008).
7.) Brandon G. Bale, Edward D. Farnum, and J. Nathan Kutz, Dynamics of multi-frequency mode-locking driven by homogenous and inhomogeneous gain broadening effects, J. Opt. Soc. Am. B, submittted, (2008).
Refereed Presentations
- Spectral filtering for ultra-fast mode-locking in the normal dispersion regime , Dynamics Days Europe,(2007), Loughborough, U.K.
- Enhanced Mode-locking with spectral filters , 6th International Congress on Industrial and Applied Mathematics, (2007) Zurich, CH.
Refereed Proceedings
- Spectral filtering for ultra-short mode-locking , Nonlinear Photonics, JWA16 (2007), Quebec City, Canada
- Multi-frequency mode-locking , Nonlinear Photonics, JWA17 (2007) Quebec City, Canada
- Nonlinear Stability of the Nonlocal NLS Equation , SIAM Conference on Nonlinear Waves (2006), Seattle, USA
Honors and Awards
- VIGRE Fellow 2007, 2005, 2004
- Mary Gates Scholar 2000, 1999
Teaching
Winter 08: AMATH 301 Beginning Scientific Computing Spring 07: AMATH 301 Beginning Scientific Computing Spring 05: AMATH 352 Applied Linear Algebra and Numerical Analysis Summer 04: AMATH 352 Applied Linear Algebra and Numerical Analysis Teaching Assistant
Autumn 06: AMATH 301: Beginning Scientific Computing Spring 04: AMATH 301: Beginning Scientific Computing Winter 04: AMATH 402: Methods in Ordinary Differential Equations
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![[Brandon in Rome]](webpic.jpg)