Dynamics of an Underpowered Helium-Neon Laser. B.
Wyker, University of Missouri; J. Noé, Laser Teaching Center, Department
of Physics and Astronomy, Stony Brook University.
The operating behavior of an underpowered helium-neon (HeNe) laser
was studied to determine whether there may or may not exist a chaotic
aspect to the phenomena. Chaotic behavior in lasers has been noted in
numerous systems such as those with modulated or conjugated feedback and in
lasers with nonlinear open cavity resonators. The study was motivated by
concepts outlined by researchers at Moravian College [1] regarding the
observation of seemingly aperiodic behavior in underpowered gas lasers. A
HeNe laser usually operates in a continuous manner, but when the voltage
and current supplied to the gas-discharge tube is limited the continuous
operation ceases. For certain values of current and voltage the laser
goes into a flickering state. Observed pulsewidths ranged from around a quarter
to a half of a millisecond while the pulse spacing ranged from around ten
to twenty milliseconds. An apparatus was developed to collect data that
could be used in a time series analysis to determine whether there indeed
exists chaotic behavior. The relevant data was the time at which each of
the pulses took place. This allowed for the comparison of the duration
between pulses corresponding to each pulse. This data was taken through
the use of a PC parallel port that monitored a function generator
which was triggered by a photodetector. A HeNe laser, which was controlled
by a variable DC power supply, was observed by the photodetector. Programs
written in C++ were used to monitor the parallel port status and collect
and manipulate the data into a set of times between pulses. It was
intended that our observations would be compared with those of researcher's
at Moravian College. Currently there are obstacles in completing the
analysis due to problems in triggering the pulse generator and developing a
program that regulates the length of time between the iterates which query
the status of the parallel port. Further studies should take the Fourier
transform of the pulse spacing values in order to find a primary frequency
to be used in the production of a Poincaré section. This may then be
utilized to determine whether there exists an attractor of extended
structure, which would be necessary for there to be chaos. This study was
supported by NSF Grant No. Phy 99-12312.
[1] See
http://home.moravian.edu/public/phys/research/research.html (bottom of page)
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