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Analytic theory of self-similar mode-locking

by: Brandon G Bale, Nathan J Kutz, Frank Wise
Opt. Lett., Vol. 33, No. 9. (1 May 2008), pp. 911-913.


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A theoretical model is developed to quantify the experimental observations of self-similar parabolic pulses in a mode-locked laser cavity with net-zero dispersion. The averaging procedure used shows the pulse amplitude to be governed by the porous media equation that has the well-known Barenblatt similarity (parabolic) solution, suggesting that it is a viable theoretical description of temporal profiles observed in mode-locked cavities. To the best of our knowledge, this is the first analytic model proposing a mechanism responsible for generating temporal parabolic pulses.


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