Chaos in Laser Systems
Laser is theoretically described by three differential equations for field, polarization of matter, and population inversion. In this chapter, we derive the differential rate equations for general lasers based on the semi-classical method and prove that laser is the same system as that of Lorenz. However, whether an actual laser shows instability or not depends on the scales of the time constants involved in the rate equations. We present the classifications of lasers from the stability and instability points of view.
KeywordsChaotic System Linear Stability Analysis Ring Resonator Population Inversion Chaotic Oscillation
- Abraham NB, Lugiato LA, Narducci LM (eds) (1985) Special issue: instability in active optical media. J Opt Soc Am B 2:1Google Scholar
- Abraham NB, Mandel P, Narducci LM (1988) Dynamical instabilities and pulsations in lasers. In: Wolf E (ed) Progress in optics, vol 25, Chap 1. North-Holland, AmsterdamGoogle Scholar
- Haken H (1985) Light, vol 2. North-Holland, AmsterdamGoogle Scholar
- Milloni PW, Eberly JH (1988) Laser. Wiley, New YorkGoogle Scholar
- Ohtsubo J (2002) Chaotic dynamics in semiconductor lasers with optical feedback. In: Wolf E (ed) Progress in optics, vol 44, Chap 1. North-Holland, AmsterdamGoogle Scholar