Dimensionality Studies of Chaotic Attractors in Laser with Injected Signal
A homogeneously broadened ring laser driven by an external coherent signal is commonly known as a laser with an injected signal (LIS). It consists of an ordinary laser oscillator with two partially transmitting mirrors, one mirror functioning as the entrance port for the external optical signal and the second as the output coupler. The earliest studies of this system are credited to Oraevsky who investigated the stabilizing effects of the injected signal on the output of a maser oscillator.1 Other existing studies assure a rich environment of complex dynamical phenomena at least under high gain conditions.2 These earlier investigations reveal a large variety of pulsing regimes that consist of self-pulsing, breathing, frequency-locking, period doubling episodes, chaos and coexisting attractors.3,4 Even after adiabatic elimination of the atomic polarization, investigations into class B lasers find that significant dynamical effects still persist.5 Experimental research on instabilities in a LIS system is difficult because of the stringent stability requirements that must be imposed on the relative frequency and phase differences between the driver and the driven laser. Experiments have been successful using a CO2 laser.6
KeywordsLyapunov Exponent Chaotic Attractor Periodic Region Chaotic Region Driving Field
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- 1.A.N. Oraevsky, Theoretical Research in Masers, Radio Elektroniikkalab. Tek. Karkeakoulu (Kertomus) 4: 718 (1959);Google Scholar
- 2.D.K. Bandy, L.A. Lugiato, L.M. Narducci, Single- and Multi-Mode Operation of a Laser With an Injected Signal, in “Instabilities and Chaos in Quantum Optics,” F.T. Arecchi and R. G. Harrison, eds., Springer-Verlag, Berlin (1987);Google Scholar