A regeneratively mode-locked optoelectronic oscillator is proposed to realize multi-mode phase locking in optoelectronic oscillators by coupling a modulating signal generation loop. To verify the feasibility of the scheme, a numerical simulation model is established. In addition, a proof-of-concept experiment is demonstrated in a single-loop optoelectronic oscillator with a 2.2 km polarization-maintaining single-mode fiber, using an electric amplitude modulator/Mach-Zehnder modulator as an active mode-locking device. The generated microwave pulse signal has a center frequency of 10 GHz and a repetition rate of 95 kHz. We believe this scheme can provide a new approach to overcome the problem of detuning between the modulating frequency and the mode spacing during long-term operation.

Rational harmonic mode-locking refers to a mode-locking state achieved at the modulation frequency that doesn’t match the fundamental frequency. In this paper, we investigated and experimentally achieved rational harmonic mode-locking in optoelectronic oscillators (OEO) for the first time through three schemes based on electric amplitude modulator (AM), electric phase modulator (PM), and Mach-Zehnder modulator (MZM), respectively. In the experiment, the fundamental frequency mode-locking as well as the 2nd-order, 3rd-order, and 4th-order rational harmonic mode-locking were obtained, all generating ultrashort microwave pulses with a repetition rate of 95 kHz and a carrier frequency of 10 GHz. Subsequently, the characteristics of the pulse signals generated by different schemes, such as pulse width, pulse amplitude, and spectral width, were systematically investigated. By comparison, we found that the AM-based mode-locked OEO generates microwave pulse signals with higher stability and narrower pulse width; the PM-based mode-locked OEO can excite more longitudinal modes in the cavity but generates signals with more spurious noise; the MZM-based mode-locked OEO has a simple structure and requires lower power of the modulation signal. We believe this paper could provide some reference for the research on the physical mechanism of the mode-locking phenomenon generated in the OEO when the modulation frequency is mismatched.