We report, for the first time to our knowledge, the presence of concentration-induced nonuniform power in tunable erbium-doped fiber lasers. A theoretical model is proposed with pair-induced quenching taken into account. We obtain good agreement between numerical and experimental results of a high-concentration erbium-doped fiber ring laser with a large tuning range of over 100 nm. Erbium-doped f iber lasers (EDFLs) have been studied extensively for their potential applications in wavelength-division-multiplexed transmission systems and for performance testing of components.
-3Recently, EDFLs with widely tunable ranges covering both the conventional wavelength band (C band) and the long-wavelength band (L band) have been demonstrated to have a low threshold, a high signal-tonoise ratio, and a modest effective linewidth (0.1 -1.0 GHz). 4,5 A tuning range of 100 nm within a 1-dB power f latness has been demonstrated in a ring cavity EDFL with low erbium concentration. 5 However, it is shown here that in a ring cavity EDFL with highconcentration erbium-doped f iber (EDF) the power f latness deteriorates significantly over a large tuning range of 100 nm. This phenomenon, to our knowledge, has not been previously reported. In this Letter we show by theoretical modeling that the nonuniform power in tunable EDFLs is caused mostly by concentration quenching in the highly doped EDF.Concentration quenching has been identified as the main cause of performance degradation in EDFs. 6,7 It has been suggested that, in highly doped fibers, erbium ions tend to cluster in pairs and that a rapid cross-relaxation process, called pair-induced quenching (PIQ), takes place between doubly excited pairs. In this process one of the two ions transfers its energy to the other ion and is then nonradiatively transferred to the ground state ( 4 I 15/2 ) while the other ion is upconverted to the 4 I 9/2 level, where it mostly relaxes rapidly to the metastable level ( 4 I 13/2 ).
6Only approximately 1͞10,000 of the upconverted ions decay radiatively to the ground state, which is sufficiently small and can therefore be neglected in the theoretical model. 6 This process has caused a decrease in the population inversion and hence quantum efficiency, resulting in a reduction of gain in EDF amplif iers and an increase in the threshold of EDFLs. 8 -11 To study the effect of concentration quenching on the performance of tunable EDFLs, we model a tunable erbium-doped f iber ring laser with PIQ taken into account. The supposed laser, as shown in Fig. 1, has both forward and backward pumps that may be of the same or different frequency to meet lasers with different pump configurations. Other components include a tunable narrow bandpass filter, an output coupler, wavelength-division-multiplexed couplers, an optical isolator, a polarization controller, and a length of EDF.It is assumed that all the erbium ions exist as two distinct species: single ions and paired ions. The concentration of the paired erbium ions is denoted as n p 2kn t , where n t is th...