Long-term ultra-precision phase synchronization technique for locking the repetition rate of OFCs based on FLOM-PD

Abstract

Long-term ultra-precision synchronization between optical frequency combs (OFCs) and microwave oscillators is important for various fields, including scientific observation, smart grid, positioning and navigation, etc. Here, a phase-locked loop system based on fiber loop optical-microwave phase detector (FLOM-PD) is proposed to realize the synchronization of the repetition rate of OFCs and rubidium atomic clocks. Firstly, the scheme and locking process of the system are elaborated, then the mathematical model of the system is established, and the feasibility of the scheme is proved by theoretical analysis and experimental verification. After synchronization, the instability of the system reaches 8.69×10⁻¹² at 1 s and 2.94×10⁻¹³ at 1 000 s, indicating that the phase synchronization system can achieve ultra-precision and stability of OFCs repetition rate.

References

[1] KARSHENBOIMS G. Some possibilities for laboratory searches for variations of fundamental constants[J]. Canadian journal of physics, 2000, 78(7):639-678

[2] MARIONH, DOSS F P, ABGRALLM, et al.. Search for variations of fundamental constants using atomic fountain clocks[J]. Physical review letters, 2003, 90(15):150801

[3] YANGY, LIJ. Preliminary assessment of the navigation and positioning performance of BeiDou regional navigation satellite system[J]. Science China earth sciences, 2014, 57(1): 144-152

[4] SUNF, LIUS, ZHUX, et al.. Research and progress of Beidou satellite navigation system[J]. Science China information sciences, 2012, 55(12):2899-2907

[5] SPRENGERB, ZHANGJ, LUZ H, et al.. Atmospheric transfer of optical and radio frequency clock signals[J]. Optics letters, 2009, 34(7):965-967

[6] DJERROUDK, ACEFO, CLAIRONA, et al.. A coherent optical link through the turbulent atmosphere[J]. Optics letters, 2010, 35(9):1479-1481

[7] JUNGK, KIMJ. Sub-femtosecond synchronization of microwave oscillators with mode-locked Er-fiber lasers[J]. Optics letters, 2012, 37(14):2958-2960

[8] JUNGK, KIMJ. Long-term stable sub-femtosecond synchronization of microwave signals with mode-locked Er-fiber lasers[C]//2012 IEEE International Frequency Control Symposium Proceedings, May 21–24, 2012, Baltimore, MD, USA, 2012, New York, IEEE: 1-4

[9] ZHANGW, ZHOUW, CHENX, et al.. Development of a photoelectric phase-locked loop model to better synchronize frequency combs and microwaves[J]. Applied optics, 2020, 59(19):5723-5728

[10] HOUD, NINGB, LIP, et al.. Modeling analysis for phase-locking of mode-locked laser[J]. IEEE journal of quantum electronics, 2011, 47(7):891-898

[11] ZHANGW, WUH, ZHOUW, et al.. Study on ultra-precision phase synchronization technique employing phase-locked loop[J]. Optoelectronics letters, 2021, 17(3):134-139

[12] FORTIERT, BAUMANNE. 20 years of developments in optical frequency comb technology and applications[J]. Communications physics, 2019, 2(1):1-16

[13] TANGM Z. Research on high-speed optical transmission technology based on optical frequency comb[C]//2020 International Conference on Electrical Engineering and Control Technologies (CEECT), December 10–13, 2020, Melbourne, VIC, Australia, 2020, New York, IEEE: 1-6

[14] MILLOJ, ABGRALLM, LOURSM, et al.. Ultralow noise microwave generation with fiber-based optical frequency comb and application to atomic fountain clock[J]. Applied physics letters, 2009, 94(14): 141105

[15] DOELEMANS, MAIT, ROGERSA E, et al.. Adapting a cryogenic sapphire oscillator for very long baseline interferometry[J]. Publications of the astronomical society of the pacific, 2011, 123(903): 582