After taking into account the contribution of fiber grating to the phase condition, the mode distribution of fiber grating external cavity semiconductor laser (FGESL) has been determined, and the output characteristics of weak-coupling fiber grating external cavity semiconductor laser (WCFGESL) have been investigated theoretically through solving the multi-mode rate equations numerically. The results show that with increase in the injected current, the lasing wavelength of WCFGESL appears fluctuation, whose amplitude is influenced by the external cavity length to a certain degree, the side mode suppression ratio (SMSR) increases accompanied by an oscillation, and the P-I curve distorts slightly. All these theoretical estimations accord with the reported experimental observations.
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