2 Femtosecond synchronization system

Compared to the 532-m-long SXFEL, the under-construction SHINE facility extends to 3.1 km. Consequently, the original synchronization scheme is no longer adequate for such a large-scale accelerator facility. To meet the various synchronization requirements of the facility, we have redesigned and planned a femtosecond precision synchronization system for SHINE. The layout diagram of this system is shown in Figure 1. The system begins with the generation of ultra-low-noise optical pulse trains by a mode-locked laser, with a repetition rate of 216.67 MHz, which serves as the optical reference. This OMO is phase-locked with a 1.3 GHz (six times the OMO frequency) RF master oscillator (RMO) to ensure long-term stable operation.

Figure 1 Schematic overview of the optical synchronization system for SHINE. L, LINAC; LH, laser heater; BC, bunch compressor; INJL, injector laser; LHL, heater laser; BAM, bunch arrival time monitor; CBPM, cavity beam position monitor; Dia.L., diagnostic laser; PPL, pump-probe laser; SEL, station of extreme light.

The stable pulse train from the OMO is divided in the optical fiber distribution unit and guided to various fiber length stabilizers (FLSs) through polarization-maintaining fibers (PMFs). To minimize drift caused by temperature and relative humidity, both the OMO and the optical fiber distribution unit are housed in a temperature-stabilized platform (TSP). This ensures precise environmental stability control, with a root mean square (RMS) temperature stability of 0.013°C in 140 h. Subsequently, the optical reference pulses are distributed via PMFs to various critical RF and optical subsystems of the facility. To prevent time drift during transmission, dispersion-compensated and timing-stabilized fiber links, known as FLSs, are employed^[ Reference Feng, Zhang, Wang, Li, Wang and Liu ^{27 ,} Reference Sydlo, Zummack, Mueller, Felber, Czwalinna, Gerth, Schlarb and Jablonski ^{28 ]}. Each FLS actively stabilizes the effective length of its associated optical fiber link using piezoelectric fiber stretchers and optical delay lines, ensuring that the optical reference pulses are stably transmitted to the sites requiring femtosecond timing stability.

The laser pulse train can be directly used for diagnostic purposes, such as in the bunch arrival time monitor (BAM). This requires electro-optic modulation of the optical reference laser pulse by the associated transient transverse electric field to extract the relative arrival time of the electron beam, necessitating femtosecond-level precision^[ Reference Wang and Liu ^{29 ,} Reference Löhl, Arsov, Felber, Hacker, Jalmuzna, Lorbeer, Ludwig, Matthiesen, Schlarb, Schmidt, Schmüser, Schulz, Szewinski, Winter and Zemella ^{30 ]}. In addition, the reference pulse can be used to achieve high-precision synchronization of various optical subsystems of the XFEL or external optical lasers through a two-color balanced optical cross-correlator (TC-BOC)^[ Reference Li, Chen, Cheng, May, Smith, Muehlig, Uttamadoss, Frisch, Fry, Kärtner and Bucksbaum ^{31 –} Reference Benedick, Fujimoto and Kärtner ^{34 ]}. A typical example is pump–probe experiments, which require synchronization precision of less than 10 fs between the pump laser and the XFEL. Furthermore, lasers such as the photo-injector laser, seed laser and electro-optic sampling laser also require synchronization precision ranging from picoseconds to femtoseconds^[ Reference Divall, Kaiser, Hunziker, Vicario, Beutner, Schietinger, Lüthi, Pedrozzi and Hauri ^{35 –} Reference Sigalotti, Cinquegrana, Demidovich, Ivanov, Nikolov, Kurdi and Danailov ^{37 ]}. Moreover, achieving high-precision synchronization between the laser pulses and RF signals is crucial for various RF subsystems. For instance, ultra-low jitter microwave signals can be extracted from the optical pulses through a balanced optical microwave phase detector (BOMPD), which is a promising method for generating high-quality microwave signals. This synchronization scheme is robust against photodetector nonlinearities and can achieve sub-10 fs timing jitter between the extracted RF signal and the pulse train^[ Reference Ning, Zhang, Hou, Wu, Li and Zhao ^{38 ]}.

3 Optical master oscillator

As the core of a femtosecond synchronization system, the master oscillator must provide an ultra-stable time reference. Different research institutions have proposed various solutions, including continuous wave (CW) lasers, mode-locked lasers and RF references. The current mainstream solution is to use mode-locked lasers, particularly those using erbium (Er) and erbium/ytterbium (Er/Yb)-doped gain media, as the master oscillators for large-scale XFEL facilities. Mode-locked lasers have the advantage of generating ultra-short pulses with high peak power, broad spectra and low timing jitter. This enables them to achieve sub-femtosecond resolution in corresponding optical–optical and optical–RF phase detection schemes, including balanced optical cross-correlators (BOCs) and BOMPDs. Such timing detection precision, typically in the range of femtoseconds to sub-femtoseconds^[ Reference Benedick, Fujimoto and Kärtner ^{34 ,} Reference Kim, Song, Jung, Kim, Kim, Nam and Kim ^{39 ]}, is difficult to achieve with other timing reference sources such as CW lasers or standard RF references, which usually operate with timing uncertainties on the order of picoseconds. Therefore, using low-noise mode-locked lasers as the OMO in XFEL femtosecond synchronization systems is the ideal choice to ensure the stable operation of the system.

The OMO for the femtosecond optical synchronization system used in SHINE is a commercial mode-locked laser from Menhir Photonics. This laser boasts excellent short-term stability and low phase noise, capable of emitting laser pulses at a wavelength of 1550 nm and a repetition rate of 216.67 MHz (one-sixth of the main RF cavity resonance frequency of 1.3 GHz). Due to environmental changes affecting the cavity length of the mode-locked laser, time drift can be introduced during 24/7 long-term operation. To ensure optimal long-term performance, a phase-locked loop (PLL) scheme^[ Reference Wang, Liu and Wu ^{40 ]} is employed to synchronize the OMO with the 1.3 GHz RMO.

For optical-to-RF synchronization, the direct detection method using photodiodes is a straightforward and widely adopted approach, particularly in scenarios where ultra-high precision is not critical^[ Reference McFerran, Ivanov, Bartels, Wilpers, Oates, Diddams and Hollberg ^{41 –} Reference Titberidze, Felber, Lamb, Loch, Sydlo and Schlarb ^{43 ]}. However, this method is inevitably affected by amplitude-to-phase (AM-to-PM) conversion^[ Reference Zhang, Li, Lours, Seidelin, Santarelli and Le Coq ^{44 ]}, which introduces significant phase noise and greatly impacts the phase detection accuracy and stability.

To overcome the limitations, SHINE employs a phase detector based on a Sagnac loop interferometer, which has a similar working principle with BOMPD^[ Reference Kim, Kartner and Ludwig ^{45 ,} Reference Peng, Kalaydzhyan and Kärtner ^{46 ]} and fiber-loop optical–microwave phase detector (FLOMPD)^[ Reference Jung and Kim ^{47 ]}. This advanced phase detection technique provides femtosecond-level phase detection precision while minimizing sensitivity to external noise and environmental disturbances. The system’s high-resolution phase measurement and robust noise suppression capabilities are crucial for achieving the ultra-stable timing required for SHINE’s high-precision synchronization applications.

3.2 Optical to microwave phase detector based on a 3×3 coupler

Despite achieving very high phase detection accuracy, the free-space structure in this scheme can still impact the simplicity of the device. In Refs. [Reference Zhang, Liu, Feng, Lan, Wang and Liu50,Reference Jeon, Na, Lee and Kim51], this scheme has been optimized by using a polarization-maintaining symmetric 3×3 coupler for biasing the Sagnac interferometer. In contrast to the 2×2 coupler architecture, which requires a nonreciprocal π/2 phase bias unit, the 3×3 coupler architecture has an inherent phase bias characteristic without additional bias units. This approach eliminates the need for magneto-optical components or complex RF electronic devices for Sagnac loop biasing, simplifying the structure while maintaining high stability and achieving sub-femtosecond resolution. The 3×3 coupler evenly splits the input into three output ports. The pulse outputs at these ports have a ‘three-phase’ relationship with the Sagnac phase, which is illustrated in Figure 2. In the Sagnac loop, two counter-propagating pulse trains experience different phase shifts, and the resulting interference signals are emitted at the output ports, each having a 2π/3 phase relationship with one another. Similarly, a BPD is used to detect the two outputs of the Sagnac loop, generating a voltage signal that contains timing error information.

Figure 2 (a) Basic optical architecture of Sagnac loop interferometer by a 3×3 coupler. (b) Sagnac phase relationship of the three output ports.

In Ref. [Reference Zhang, Liu, Feng, Lan, Wang and Liu50], we synchronized a 2.856 GHz microwave signal with a 238 MHz optical pulse train. Within a bandwidth range from 10 Hz to 10 MHz, this scheme achieved a relative timing jitter of 16 fs in the 10 Hz–10 MHz frequency offset range. This phase detection scheme has demonstrated significant application value. Compared with the original scheme, this scheme greatly simplifies the structure while maintaining excellent phase detection precision.

In our current work, we are optimizing this scheme and extending its application to the 1.3 GHz frequency used in SHINE. An experimental setup (shown in Figure 3) was constructed where a 3×3 coupler-based phase detector (shown in Figure 4(a)) phase-locks a 216.67 MHz mode-locked laser to a 1.3 GHz RF oscillator. The electronic phase-locking module used for this setup, shown in Figure 4(b), integrates the necessary control electronics within a compact enclosure to enhance system stability and minimize environmental noise. The phase-locking accuracy was assessed by implementing an identical out-of-loop phase detection setup to measure the residual timing jitter, confirming system stability. In this setup, the 1.3 GHz RF oscillator (Rohde & Schwarz, SMA100B) serves as the reference. Two nearly identical Sagnac-based phase detection setups were configured—one in-loop for phase-locking and the other out-of-loop for jitter evaluation. An optical delay line was introduced into the out-of-loop path for timing sensitivity calibration and balance-point adjustment. The experimental results (shown in Figure 5) demonstrate that within a bandwidth of 10 Hz to 10 MHz, the out-of-loop integrated RMS jitter of the synchronized optical oscillator is 4.9 fs, and the long-term RMS drift over 10 h is 5.56 fs, meeting the stringent timing stability required by SHINE.

Figure 3 Experimental setup for in-loop phase locking and out-of-loop relative jitter measurement. ODL, optical delay line; PM, phase modulator; PZT, piezoelectric transducer; PD, photodiode; BPD, balanced photodetector.

Figure 4 (a) 3×3 based optical to microwave phase detector; (b) OMO electronic synchrolock module for SHINE.

Figure 5 (a) Jitter spectral density (black) and the corresponding integrated timing jitter (red) between RF-signal and phase-locked OMO measured by the out-of-loop phase detector for the frequency offset ranging from 10 Hz to 10 MHz; (b) long-term stability measurement over 10 h.

4 Fiber link stabilization

Compared to the commercialized mode-locked lasers and RF master oscillators, as well as the relatively mature optoelectronic phase-locked loop technology, stabilizing the optical fiber link presents a significant challenge in achieving femtosecond-level synchronization. During the long-distance transmission of optical reference signals through fiber links, various environmental factors—such as temperature fluctuations, humidity changes, mechanical vibrations and pressure variations—can alter the physical and optical properties of the fiber, leading to optical delay variations. For instance, in a laboratory environment setting with a 300-m-long optical fiber, such environmental variations can result in a time drift of up to 4.5 ps within 100 s^[ Reference Kim ^{52 ,} Reference Kim, Chen, Zhang, Wong, Kaertner, Loehl and Schlarb ^{53 ]}. Additionally, in accelerator environments like tunnels, where the ambient temperature can fluctuate significantly over time, these effects are often exacerbated. Mechanical vibrations caused by cooling systems or nearby machinery can further compound timing instability by introducing minute strains along the fiber^[ Reference Thomes, LaRocca, Switzer, Ott, Chuska and Macmurphy ^{54 ]}. To mitigate these influences, the development and refinement of a fiber length stabilization system is crucial. Such a system must compensate for environmental changes in real-time, maintaining the precision of time transfer through active feedback mechanisms, thereby ensuring stable femtosecond synchronization throughout the optical fiber link^[ Reference Safak, Xin, Peng, Callahan and Kärtner ^{55 –} Reference Safak, Xin, Zhang, Chia, Muecke and Kaertner ^{58 ]}.

4.1 Fiber length stabilizer

The following section introduces the fundamental principles and design of the FLS, as illustrated in Figure 6. The optical reference pulses are transmitted through the fiber link to remote devices requiring synchronization. Upon reaching the end of the fiber link, a portion of the laser pulses are reflected back to the input end by a partially reflecting mirror, while the remaining pulses are used for synchronization purposes at the remote station. At the input of the link, the reflected laser pulses are combined with the pulses emitted by OMO. A single-color BOC^[ Reference Safak, Xin, Peng, Callahan and Kärtner ^{55 ,} Reference Xin, Şafak, Peng, Callahan and Kärtner ^{56 ]} detects propagation delay fluctuations in the fiber link with high resolution and generates an error voltage. A proportional–integral–derivative (PID) controller adjusts the phase error by modulating a piezoelectric-based fiber stretcher to correct rapid timing changes in the fiber link, thereby achieving phase-stable control of the transmitted signal. Additionally, a wide-range optical delay line is introduced to further compensate for larger drifts when the fiber stretcher reaches its limit. This ensures precise synchronization and stability of the transmitted optical reference.

Figure 6 Typical fiber link stabilization setup. SM, silver mirror; PRM, partially reflecting fiber mirror; MDL, motorized delay line; PM-FS, polarization-maintaining fiber stretcher; PM-EDFA, polarization-maintaining erbium-doped optical fiber amplifier; PMF, polarization-maintaining fiber; DCF, dispersion-compensating fiber.

All fiber links in SHINE are constructed using PMFs and dispersion-compensating fibers (DCFs) to mitigate the effects of polarization mode dispersion, which can degrade signal quality over long distances. Additionally, the link integrates a bidirectional erbium-doped fiber amplifier (EDFA) to enhance the pulse energy in the cross-correlator and provide sufficient power for the link output required for remote synchronization. This comprehensive approach enables the FLS to provide stable and precise time transfer across the entire fiber link, ensuring the reliable synchronization necessary for high-precision applications in the SHINE facility. The actual module used for SHINE is shown in Figure 7.

Figure 7 Fiber length stabilizer at SHINE.

4.2 Balanced optical cross-correlator

As a critical component of the FLS, the timing detection device’s resolution significantly impacts the overall precision of the FLS. Due to its high phase detection sensitivity and femtosecond-level precision, the BOC is widely adopted in FLS systems. In 2007, Kim and colleagues demonstrated the effectiveness of a self-aligned BOC, based on a single periodically poled KTiOPO₄ (PPKTP) crystal, for stabilizing a 310-m optical fiber link. This setup achieved long-term timing stability with an impressive accuracy of 10 fs, setting a benchmark in timing link stabilization for large-scale scientific facilities^[ Reference Kim, Chen, Zhang, Wong, Kaertner, Loehl and Schlarb ^{53 ]}. The basic structure of typical BOC is illustrated in Figure 8. In this setup, a dichroic beam splitter (DBS) guides two orthogonally polarized input pulses into the PPKTP crystal, generating a sum-frequency generation (SFG) component. This SFG component is directed through a dichroic mirror and detected by the first photodiode of a balanced photodetector (BPD). The intensity of the SFG component depends on the timing of the input pulses. Simultaneously, the two input pulse trains at the fundamental frequency are reflected back into the crystal, where they generate a second SFG component. This second SFG component is separated by the DBS and detected by the second photodiode of the BPD. The BPD provides a voltage signal proportional to the timing jitter between the pulses by measuring the difference in sum-frequency power between the forward and reverse channels.

Figure 8 Schematic of balanced optical cross-correlator based on PPKTP crystal. DBS, dichroic beam splitter; DM, dichroic mirror; PPKTP, periodically poled KTiOPO₄.

Due to the phase-matching bandwidth of approximately 100 nm around 1550 nm, PPKTP crystals are particularly suitable for cross-correlator schemes at this wavelength^[ Reference Kim, Chen, Zhang, Wong, Kaertner, Loehl and Schlarb ^{53 ,} Reference Nejadmalayeri, Wong, Roberts, Battle and Kärtner ^{59 ,} Reference Callahan, Safak, Battle, Roberts and Kärtner ^{60 ]}. However, the SFG conversion efficiency of PPKTP crystals is relatively low. In addition, the requirement for orthogonal polarization between the reference pulse and the round-trip pulse further limits the phase detection sensitivity of this scheme.

We propose and validate an all-optical cross-correlation phase stabilization device that utilizes a periodically poled lithium niobate (PPLN) crystal, which offers higher SFG conversion efficiency compared to PPKTP crystals. By employing a balanced structure, we suppress common-mode noise in the sum-frequency optical path, thereby enhancing the signal-to-noise ratio (SNR). In addition, we simplify the structure by using a dichroic coating on the exit surface of the crystal instead of a dichroic mirror. In this study, our novel FLS demonstrated an ultra-low integrated timing jitter of 1.3 fs within the 10 Hz–10 MHz range during experiments. Over a period exceeding 24 h, the FLS achieved excellent long-term stability of 4.8 fs (see Figure 9). We believe that this research can provide high-quality and long-term stable reference pulses for SHINE.

Figure 9 (a) Measured spectral timing jitter density; the integrated RMS jitter from 10 Hz to 10 MHz is 1.3 fs. (b) Long-term stability measurement; the RMS jitter over 24 h is 4.8 fs.

5 External laser-to-laser synchronization

A fundamental characteristic of femtosecond optical synchronization systems using optical pulses is their ability to synchronize external laser systems to an OMO through all-optical techniques. The BOC has proven to be an excellent solution for achieving laser-to-laser synchronization^[ Reference Schibli, Kim, Kuzucu, Gopinath, Tandon, Petrich, Kolodziejski, Fujimoto, Ippen and Kaertner ^{33 ,} Reference Kim, Chen, Zhang, Wong, Kaertner, Loehl and Schlarb ^{53 ,} Reference Xin, Şafak, Peng, Kalaydzhyan, Wang, Mücke and Kärtner ^{61 ]}. Depending on the method used, it can achieve detection resolutions in the femtosecond and even attosecond range. Unlike the method described in the fiber-stabilized link, where the BOC measures the phase difference from the same laser with identical center wavelengths, external lasers (such as seed lasers and pump lasers) often have different center wavelengths. Therefore, structural adjustments are necessary to accommodate these differences. To distinguish from the previously mentioned BOC, we use TC-BOC to describe the laser-to-laser synchronization scheme for optical subsystems. This method ensures tight synchronization of two optical pulse trains at different wavelengths^[ Reference Schulz, Grguraš, Behrens, Bromberger, Costello, Czwalinna, Felber, Hoffmann, Ilchen and Liu ^{15 ,} Reference Li, Chen, Cheng, May, Smith, Muehlig, Uttamadoss, Frisch, Fry, Kärtner and Bucksbaum ^{31 ]}.

The schematic of this device is shown in Figure 10. The reference pulses from the fiber link and the pulse output from another external laser are combined using a dichroic beam combiner (DBC) and directed into a barium borate (BBO) crystal. Here, the two input pulse trains generate a forward SFG signal. Similar to the previous monochromatic BOC, the forward SFG signal is separated by the dichroic mirror and detected by the balanced photodetector. Unlike the previous scheme, the reflected pulse train is introduced with a specific differential group delay through an adjustable optical delay line and passes through the BBO crystal a second time to generate a reverse SFG signal. By detecting the difference between the two SFG signals using the BPD, the output voltage signal can accurately measure the timing error between the two input laser pulse trains.

Figure 10 Schematic of a two-color optical cross-correlator. DBC, dichroic beam combiner; DBS, dichroic beam splitter; BBO, beta barium borate crystal; DM, dichroic mirror; SM, sliver mirror.

In our experiment, we used the TC-BOC to synchronize two different laser pulse trains. The master laser was a commercial mode-locked laser from Menhir Photonics, operating at a central wavelength of 1550 nm with a repetition rate of 238 MHz. The slave laser was an experimental pulse train from the SHINE Seed Laser Laboratory, operating at a central wavelength of 800 nm with a repetition rate of 79.33 MHz. Using an out-of-loop TC-BOC with the same structure, we determined the synchronization performance between the seed laser and the mode-locked laser. Figure 11 shows the measured single-sideband phase noise, indicating that our TC-BOC achieved an out-of-loop jitter of 8.7 fs RMS over a bandwidth from 10 Hz to 10 MHz. In addition, a notable 1.2 fs RMS timing drift over 8 h is measured.

Figure 11 Measurement result of laser-to-laser synchronization between mode-locked laser and seed laser using TC-BOC: (a) jitter spectral density and integrated timing jitter; (b) long-term drift measurement.

Based on its excellent performance, the TC-BOC will be widely used in SHINE to synchronize various remote optical subsystems. The integrated laser-to-laser synchronization module is shown in Figure 12. The combined implementation of FLS and TC-BOC effectively minimizes both fast jitter and long-term drift, ensuring femtosecond-level stability over extended operation periods. In addition, considering that additional drift and jitter can easily be introduced into the beamline in photoelectric cathodes or pump-probe detection lasers, we also plan to apply the TC-BOC to measure and compensate for timing variations of laser pulses upon arrival at the laboratory. This setup measures and corrects for timing variations upon laser pulse arrival, providing a final layer of drift compensation at the point of use.

Figure 12 Laser-to-laser synchronization module in SHINE.