We propose and demonstrate a new and simple method for achieving continuously tunable microwave frequency multiplication using an unbalanced temporal pulse shaping (TPS) system incorporating two linearly chirped fiber Bragg gratings (LCFBGs) written in erbium/ytterbium co-doped fibers. By optically pumping the LCFBGs with different pumping power, the dispersion of the LCFBGs is tuned. The incorporation of the LCFBGs in an unbalanced TPS system would enable the generation of a frequency tunable microwave waveform. The operation of the system is discussed which is then verified by an experiment. Continuously tunable microwave frequency multiplication with a multiplication factor from 5.14 to 11.9 is experimentally demonstrated. The impact of the ripples in the magnitude and group delay responses of the LCFBGs on the performance of the microwave generation is also studied.
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