Corrections To And Comments On "Dynamic Behavior Of Re Ection Optical Bistability In A Nonlinear Fiber Ring Resonator"

Abstract

Listen

Translate article

In the above paper on a transient analysis based on the multiplebeam interference method [1], some errors have been discovered. In this note, we detail corrections and discuss the validity of the multiple-beam interference method by comparison with another numerical method. Initially, we correct the mistakes in the analysis. The problem lies in the calculation of the total nonlinear phase shift of the partial wave entering the ring resonator at time t m R and leaving it at time t after the mth circulation. In the text, the nonlinear phase change suffered during each circulation was calculated using the intracavity field at the exit (port 3, see Fig. 1(a) of the above paper) of the ring resonator. The integration of the last circulation (corresponding to time interval from t R to t) was carelessly omitted. As a corrected formula becomes implicit, i.e., the phase change suffered during the last circulation is expressed in terms of the output field, itself to be determined, this formulation is not advantageous. A more adequate procedure is to use the intracavity field at the input (port 4) of the resonator, in which case the output field is computed by using previously determined values. In such a formulation, Eq. (10) on p. 1538 should be replaced by