Abstract:
Mode-locked lasers generate ultra-short optical pulses, with
durations ranging from hundreds of picoseconds down to a few
femtoseconds. Applications utilizing such lasers range from
communications and high harmonic generation to optical clock
technology, and even measuring of the fundamental constants of
nature. Mode-locked lasers are essentially optical oscillators
requiring the two basic constituents of any laser, namely
amplification and loss. In this talk we will discuss a new system
that efficiently models these two effects, and, together with the
appropriate filtering term, supports the mode-locking mechanism for
both constant dispersion and dispersion managed solitons. In so
doing, we will present a numerical technique, called spectral
renormalization, which allows us to study the soliton solutions of
these systems.
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