Abstract
Controllable repetition rate multiplication of micro-combs is demonstrated based on the perfect temporal Talbot effect. With third-order-dispersion being eliminated, the repetition rates of micro-combs can be precisely controlled with strong reconfigurability and compatibility. First, we show the fifth multiplication of the repetition rate with unaffected pulse width and shape in both simulation and experiment. By slightly changing fiber lengths, the repetition rate of a micro-comb is precisely increased by 10 times, 15 times, and 20 times, reaching even 980 GHz. The method is verified to be compatible with perfect crystal solitons in repetition rate multiplication. Combined together, larger repetition rates can be obtained. Besides, the perfect temporal Talbot effect can efficiently reduce both timing jitter and amplitude noise of input pulses, demonstrating the stable generation of high-quality pulses with flexible and high repetition rates. Furthermore, our scheme can avoid the trade-off between acquisition speed and temporal resolution in dual-comb synchronous optical sampling, which is quite useful for the ultrafast detection of transient response in unstable samples. This demonstration will lead to the possible realization of an integrated and flexible repetition rate multiplexer for soliton micro-combs and further promote the development of dual-comb applications and future terahertz science.
Highlights
INTRODUCTIONThe temporal Talbot or self-imaging effect can reconstruct pulses with multiplied repetition rates through propagation in first-order dispersive media, but it has not been demonstrated for dissipative Kerr solitons (DKSs). As the bandwidth of DKSs is generally too large to ignore the third-order dispersion (TOD) of the dispersive media, the temporal Talbot condition is no longer satisfied
Optical frequency combs based on micro-resonators have attracted significant attention, for the less energy consumption, more compact footprint, and higher repetition rate
The truncated sech2-shaped spectrum is sent into the optical spectrum analyzer (OSA) and light intensity spectrum analyzer (LISA) system18 after being amplified to 15.0 dBm using a C-band erbium doped fiber amplifier (EDFA)
Summary
The temporal Talbot or self-imaging effect can reconstruct pulses with multiplied repetition rates through propagation in first-order dispersive media, but it has not been demonstrated for DKSs. As the bandwidth of DKSs is generally too large to ignore the third-order dispersion (TOD) of the dispersive media, the temporal Talbot condition is no longer satisfied. We perform the controllable manipulation of repetition rates of DKSs based on the perfect temporal Talbot effect. With the third-order dispersion (TOD) eliminated by the additional use of a large effective area fiber (LEAF), there are no temporal aberrations in the Talbot effect (namely, perfect temporal Talbot effect), which can reconstruct DKSs with a multiple repetition rate through appropriate dispersive media. Our work paves new way for the repetition rate control of DKSs and will promote the development of dual-comb applications, ultrafast measurement with high temporal resolution, and future terahertz science
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