A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Chaotic He-Ne laser
Tekijät: Kuusela TA
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2017
Journal: European Journal of Physics
Tietokannassa oleva lehden nimi: EUROPEAN JOURNAL OF PHYSICS
Lehden akronyymi: EUR J PHYS
Artikkelin numero: ARTN 055303
Vuosikerta: 38
Numero: 5
Sivujen määrä: 16
ISSN: 0143-0807
eISSN: 1361-6404
DOI: https://doi.org/10.1088/1361-6404/aa7d72
Tiivistelmä
A He-Ne laser is an example of a class A laser, which can be described by a single nonlinear differential equation of the complex electric field. This laser system has only one degree of freedom and is thus inherently stable. A He-Ne laser can be driven to the chaotic condition when a large fraction of the output beam is injected back to the laser. In practice, this can be done simply by adding an external mirror. In this situation, the laser system has infinite degrees of freedom and therefore it can have a chaotic attractor. We show the fundamental laser equations and perform elementary stability analysis. In experiments, the laser intensity variations are measured by a simple photodiode circuit. The laser output intensity time series is studied using nonlinear analysis tools which can be found freely on the internet. The results show that the laser system with feedback has an attractor of a reasonably high dimension and that the maximal Lyapunov exponent is positive, which is clear evidence of chaotic behaviour. The experimental setup and analysis steps are so simple that the studies can even be implemented in the undergraduate physics laboratory.
A He-Ne laser is an example of a class A laser, which can be described by a single nonlinear differential equation of the complex electric field. This laser system has only one degree of freedom and is thus inherently stable. A He-Ne laser can be driven to the chaotic condition when a large fraction of the output beam is injected back to the laser. In practice, this can be done simply by adding an external mirror. In this situation, the laser system has infinite degrees of freedom and therefore it can have a chaotic attractor. We show the fundamental laser equations and perform elementary stability analysis. In experiments, the laser intensity variations are measured by a simple photodiode circuit. The laser output intensity time series is studied using nonlinear analysis tools which can be found freely on the internet. The results show that the laser system with feedback has an attractor of a reasonably high dimension and that the maximal Lyapunov exponent is positive, which is clear evidence of chaotic behaviour. The experimental setup and analysis steps are so simple that the studies can even be implemented in the undergraduate physics laboratory.
Turun yliopiston Tutkimustietojärjestelmän portaali