Abstract
Routes to chaos have been of major interest in quantum electronics, as in other fields, in recent years. Most emphasis has been on mathematical and computational demonstration while physical interpretations of, e.g., the universal Feigenbaum period-doubling cascade have been few. We1,2 and others3 have noted that the fundamental Ikeda oscillation (period 2tR) that occurs in a pumped nonlinear ring resonator arises from beating between the off-resonant pump beam and two adjacent cavity modes, which are generated through nondegenerate four-wave mixing processes. We show how this picture can be extended to all bifurcation orders for a general class of resonators. Central to this extension is the fact that it is possible to define small-signal dressed modes for the nonlinear resonator in the presence of large- amplitude oscillating components.
© 1984 Optical Society of America
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