Analytic expressions are derived for the phase-conjugation fidelity loss for stimulated scattering in waveguides. Beginning from the perturbation result, one obtains three regimes for the fidelity for a rectangular mode distribution. For a broad waveguide, the result agrees with those obtained by other authors. For narrow waveguides, the fidelity is seen to improve, in qualitative agreement with experiments reported in the literature and in qualitative agreement with numerical results. This narrow-waveguide regime, along with an intermediate regime, gives a fidelity dependence similar to that obtained numerically.

© 1988 Optical Society of America

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