Natural modes for the analysis of optical bistability and laser instability
Lloyd W. Hillman, Robert W. Boyd, and C. R. Stroud, Jr.
Opt. Lett. 7, 426 (1982).
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A self-consistent description is given for the propagation of a weak
optical probe beam through a homogeneously broadened two-level medium in
the presence of a strong, collinear, near-resonant pump beam. The
propagation of the probe beam is given in terms of bichromatic natural
modes, which contain frequency components symmetrically displaced from that
of the pump beam. The two frequency components have a definite relative
amplitude and phase, which are determined solely by the frequency detunings
of the optical fields from the atomic resonance and by the intensity of the
pump field. A simple method for calculating these natural modes is
derived, and their importance in describing nearly degenerate four-wave
mixing, optical bistability, and the stability of homogeneously broadened
ring lasers is discussed.
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