We proposed a simple laser system controlled by optimally adjusted combination of inertial negative and positive
feedbacks capable to demonstrate the nonlinear regular and chaotic dynamics on the time scale of the laser
cavity round trip time. The numeric simulation proved that such a system can be realized on the basis of the
optoelectronically controlled solid state laser.
Free electron lasers are expected to become brightest hard X-ray sources in the next decade. Meanwhile a quest still
exists for moderately bright but lab scale X-ray sources to fill in the gap between conventional X-ray tubes and
synchrotron radiation beamlines. Thomson scattering of picosecond laser pulses on electron bunches is considered as
possible solution to this problem.
We propose and study both numerically and experimentally a laser system controlled by the combination of
positive and negative feedbacks capable to generate a long picosecond pulse train of stable amplitude as well as
regular pulsation with sub-microsecond period. The proper combination of feedbacks is realized in a Nd:YAG
laser with millisecond pumping by means of a single optoelectronic negative feedback which utilizes signal reflected
from an intracavity Pockels cell polarizer. Regular pulsation (microgroups of picosecond pulses) with controlled
period from 25 to 75 resonator round trips is obtained. The development of chaotic dynamics displayed by the
system at higher pumping level differs from the Feigenbaum scenario. The regular pulsation regime has a great potential in a laser-electron X-ray generator design and other applications.
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