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The dynamical behavior of a Raman ring laser is examined under conditions of pump depletion. In the plane-wave and adiabatic limits, a mapping is obtained for two complex field amplitudes. Chaos is observed when injected pump and Stokes frequencies are detuned from a Raman resonance. Hyperchaos, characterized by two positive Liapunov exponents, is found when in addition the two injected fields are of comparable magnitudes.
John C. Englund
"Chaotic behavior of a Raman ring laser", Proc. SPIE 1497, Nonlinear Optics and Materials, (1 September 1991); https://doi.org/10.1117/12.46785
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John C. Englund, "Chaotic behavior of a Raman ring laser," Proc. SPIE 1497, Nonlinear Optics and Materials, (1 September 1991); https://doi.org/10.1117/12.46785