Scientific Results

Identifying physical properties of a CO2 laser by dynamical modeling of measured time series

Year: 2001

Authors: Horbelt W., Timmer J., Bunner M.J., Meucci R., Ciofini M.

Autors Affiliation: Fakultat fur Physik, Albert-Ludwigs-Univsitat, Hermann-Heder-Strasse 3, D-79104 Freiburg, Germany;
EPCOS AG, Anzinger Strasse 13, 81617, Munchen, Germany;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: We estimate internal parameters of a Q-switched CO2 laser by fitting trajectories of the four-level model to measured scalar time series. The four-level model is a five-dimensional nonlinear system of ordinary differential equations. A multiple shooting technique is used to construct the unobserved time courses of the population densities and to reveal the dependence of the parameters on the excitation current. For excitations barely above the laser threshold large pulse variations are identified as an effect of small variations of the pump parameter.


Volume: 64 (1)      Pages from: 016222-1  to: 016222-7

KeyWords: Computer simulation; Curve fitting; Electric currents; Laser pulses; Mathematical models; Nonlinear systems; Ordinary differential equations; Parameter estimation; Population statistics; Pumping (laser); Q switched lasers; Time series analysis, Four level model; Multiple shooting technique; Population densities, Carbon dioxide lasers
DOI: 10.1103/PhysRevE.64.016222

Citations: 30
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