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Journal of Modern Optics

Steady-state analysis of a saturable nonlinear amplifying fibre loop resonator

Toyokazu Sakamoto

Published Oct 1, 1996• 0 citations
Publisher

Abstract

The steady-state response is analysed for a saturable nonlinear amplifying fibre loop resonator. With the amplification, the bistable region represented by the saturation coefficient of the nonlinear refractive index and by the feedback gain of the fibre loop is found to be highly enlarged when compared with the conventional passive loop resonator.

DOI
10.1080/09500349608232877

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The steady-state response is analysed for a saturable nonlinear amplifying fibre loop resonator. With the amplification, the bistable region represented by the saturation coefficient of the nonlinear refractive index and by the feedback gain of the fibre loop is found to be highly enlarged when compared with the conventional passive loop resonator.
A loop SBS oscillator is studied, in which pump radiation coupled out from a nonlinear medium is directed backward to the medium. To increase the interaction length, a light guide is used. The feedback is obtained on a stationary nonlinear refractive index grating produced by the pump waves. The signal generated at the Stokes frequency in the loop propagates in the direction opposite to the pump and is amplified due to the classical backward SBS. Such an oscillator can be treated as a distributed feedback oscillator produced by the pump waves themselves.
A simple regenerative fiber amplifier with a nonlinear refractive index is described and analyzed. Using standard equations of operation, we model the circulating intensity within the resonant cavity and determine the nonlinear phase response to changes in this intensity over the entire range of initial cavity detuning. Simple stability criteria are established and described. It is shown that the presence of sufficient nonlinearity leads to stable regions of operation with consistent phase-intensity relationships. Based on these results, the phase of the amplifier output is predicted relative to the injected field for the entire range of initial detuning