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An effective method for the improvement of the characteristics of an erbium-doped L-band superfluorescent fiber source (SFS) is demonstrated using an unpumped erbium-doped fiber (EDF).With a suitable length of unpumped EDF section in the single-forward pumped configuration,broadening of the L-band spectral linewidth is achieved and the variation of mean wavelength versus pump power is eliminated.A mean wavelength stable L-band SFS with a spectral linewidth of 50.2nm and an output power of 60.2mW is obtained experimentally.The method of using unpumped EDF enables one to offer a stable and wideband L-band SFS with high flexibility and to overcome the shortcomings of the synchronous pumping technique.