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A theoretical model for the mode-locked hybrid soliton pulse source ͑HSPS͒ is developed by using a time domain solution of coupledmode equations and rate equations. Numerical simulations show that grating must be both linearly chirped and apodized to be used in HSPS systems with a wide mode-locking frequency range ͑2.1 to 3 GHz͒ and transform-limited output pulses.

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In this study, a mode-locked hybrid soliton pulse source (HSPS) utilizing sinusoidal chirped fiber Bragg grating (FBG) is reported for the first time, using the time-domain solution of coupled wave equations and rate equations. The sinusoidal chirped FBG provides a wider bandwidth by adjusting the reversion coefficient or chirp rate even if the FBG length is short. Numerical results also indicate that an HSPS-utilized sinusoidal chirped FBG produces shorter pulses in the 25 − 72 ps range, whereas the pulses range from 31 to 97 ps for a linearly chirped tanh apodized grating, and from 30 to 80 ps for a linearly chirped Gaussian apodized grating, along with an increase in the modelocking frequency range.