CN116147786B - Optical inter-pulse harmonic extraction method and device - Google Patents
Optical inter-pulse harmonic extraction method and device Download PDFInfo
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Abstract
Description
技术领域Technical field
本发明涉及一种光脉冲间谐波提取方法及装置,属于微波光子技术领域。The invention relates to a method and device for extracting harmonics between light pulses, and belongs to the technical field of microwave photons.
背景技术Background technique
利用锁模技术产生的光脉冲具有丰富的频率分量和极低的抖动特性,从中提取出的具有低相位噪声特性的微波信号可以提升通信、雷达等系统的性能。就如何提取低相噪微波信号,研究人员进行了大量的研究。最直接的方法就是利用光电探测器将光脉冲信号转换为电脉冲信号,再通过滤波器选择合适的频率。该方法需要一个高线性、高功率的光电探测器,但是其得到的微波信号功率往往在0dBm以下。为了得到残余噪声更低的微波信号,可以将锁模激光器锁定到一个光学超稳腔上。另一种方法是构建一个微波光子鉴相器,再通过搭建锁相环将微波信号锁定到光脉冲重复频率的谐波上。该方法有效提升了得到的微波信号功率。上述两种方法,均可以通过一个马赫增德尔干涉仪(MZI)倍频结构大幅提升微波信号在高频偏处的相噪性能。直接拍频法产生了10kHz频偏处相噪-172dBc/Hz的12GHz微波信号(Xie X,Bouchand R,Nicolodi D,et al.Photonic microwave signals withzeptosecond-level absolute timing noise[J].Nature Photonics,2017,11(1):44-47.),微波光子鉴相器法得到了残余噪声-174dBc/Hz的微波信号(Ahn C,Na Y,Hyun M,etal.Synchronization of an optical frequency comb and amicrowave oscillatorwith 53zs/Hz 1/2resolution and 10-20-level stability[J].Photonics Research,2022,10(2):365-372.)。需要注意的是,虽然MZI结构大大提升了相噪性能,但是对脉冲重复频率的倍频导致可提取的频率数量减少。如何从稳定的光脉冲中提取更多的频率成为亟待解决的问题。传统的方法是对产生的微波信号进行分频处理,再混频,扩大可获取的频率范围。但是有源分频器会引入额外的相位噪声,混频效率的不足也使得获取的微波信号信噪比大大降低,从而恶化相噪。采用微波光子学方法,可以将锁模激光器与一信号发生器同步,利用信号发生器产生一个开关信号驱动光开关,在光脉冲通过开关时,部分脉冲通过,部分不通过,这样就降低了脉冲的重复频率,也就扩大了可提取信号的频率范围。但是该方法需要一个外部信号源,同时当脉冲重复频率较为特殊(非10MHz、100MHz,而是如133MHz,204MHz这样),就加大了同步难度。为了避免这种开关结构,研究人员提出了利用电光调制器的非线性效应实现分数阶的谐波锁模(Bahmanian M,Kress C,Scheytt J C.Locking ofmicrowave oscillators on the interharmonics of mode-locked laser signals[J].Optics Express,2022,30(5):7763-7771.)。但是该方法需要很高的微波功率。The optical pulses generated by mode-locking technology have rich frequency components and extremely low jitter characteristics. The microwave signals with low phase noise characteristics extracted from them can improve the performance of communications, radar and other systems. Researchers have conducted a lot of research on how to extract low phase noise microwave signals. The most direct method is to use a photodetector to convert the optical pulse signal into an electrical pulse signal, and then select the appropriate frequency through a filter. This method requires a highly linear and high-power photodetector, but the microwave signal power obtained is often below 0dBm. In order to obtain microwave signals with lower residual noise, the mode-locked laser can be locked to an optically ultrastable cavity. Another approach is to build a microwave photonic phase detector and then build a phase-locked loop to lock the microwave signal to harmonics of the light pulse repetition frequency. This method effectively improves the power of the microwave signal obtained. Both of the above methods can greatly improve the phase noise performance of microwave signals at high frequency offsets through a Mach-Zehnder interferometer (MZI) frequency doubling structure. The direct frequency beating method produced a 12GHz microwave signal with a phase noise of -172dBc/Hz at a frequency offset of 10kHz (Xie , 11(1):44-47.), the microwave photon phase detector method obtained a microwave signal with a residual noise of -174dBc/Hz (Ahn C, Na Y, Hyun M, et al. Synchronization of an optical frequency comb and amicrowave oscillatorwith 53zs/Hz 1/2resolution and 10-20-level stability[J].Photonics Research, 2022,10(2):365-372.). It should be noted that although the MZI structure greatly improves the phase noise performance, doubling the pulse repetition frequency results in a reduction in the number of frequencies that can be extracted. How to extract more frequencies from stable light pulses has become an urgent problem to be solved. The traditional method is to frequency divide the generated microwave signal and then mix it to expand the obtainable frequency range. However, the active frequency divider will introduce additional phase noise, and the lack of mixing efficiency also greatly reduces the signal-to-noise ratio of the acquired microwave signal, thus worsening the phase noise. Using microwave photonics methods, the mode-locked laser can be synchronized with a signal generator, and the signal generator is used to generate a switching signal to drive the optical switch. When the light pulse passes through the switch, part of the pulse passes and part does not pass, thus reducing the pulse The repetition frequency expands the frequency range of the extracted signal. However, this method requires an external signal source. At the same time, when the pulse repetition frequency is relatively special (not 10MHz, 100MHz, but such as 133MHz, 204MHz), it increases the difficulty of synchronization. In order to avoid this switching structure, researchers have proposed using the nonlinear effect of electro-optic modulators to achieve fractional harmonic mode locking (Bahmanian M, Kress C, Scheytt J C. Locking ofmicrowave oscillators on the interharmonics of mode-locked laser signals [J].Optics Express,2022,30(5):7763-7771.). But this method requires high microwave power.
综上可知,目前基于微波光子鉴相器的微波信号产生,主要还是产生与重频谐波频率相同的信号。如何利用微波光子鉴相器突破该重频限制,尚需进一步研究。In summary, it can be seen that the current microwave signal generation based on microwave photon phase detectors mainly generates signals with the same frequency as the repeated harmonic frequency. How to use microwave photonic phase detectors to break through this repetition frequency limitation requires further research.
发明内容Contents of the invention
本发明所要解决的技术问题在于克服现有技术不足,提供一种光脉冲间谐波提取方法,可突破现有基于微波光子鉴相器产生微波信号的频率限制问题,同时对光脉冲重复频率进行精准的分频。The technical problem to be solved by the present invention is to overcome the shortcomings of the existing technology and provide a method for extracting harmonics between light pulses, which can break through the frequency limitation problem of microwave signals generated by existing microwave photon phase detectors and simultaneously improve the repetition frequency of light pulses. Precise frequency division.
本发明具体采用以下技术方案解决上述技术问题:The present invention specifically adopts the following technical solutions to solve the above technical problems:
一种光脉冲间谐波提取方法,将第一光脉冲输入一个光开关,该光开关由一余弦微波信号驱动,通过光开关的通断改变第一光脉冲的重复频率,得到第二光脉冲,所述余弦微波信号是通过对压控振荡器发出的微波信号进行幅相调控得到;使用鉴相模块对第二光脉冲与压控振荡器发出的微波信号进行鉴相,得到两者间的相位差;以所述相位差作为反馈信号,对所述压控振荡器进行反馈控制,当整个系统处于稳态时,压控振荡器所发出微波信号的频率被同步到第一光脉冲重复频率的间谐波上,第二光脉冲的重复频率也实现了对第一光脉冲重复频率的分频。A method for extracting harmonics between optical pulses. The first optical pulse is input into an optical switch. The optical switch is driven by a cosine microwave signal. The repetition frequency of the first optical pulse is changed by turning the optical switch on and off to obtain the second optical switch. pulse, the cosine microwave signal is obtained by regulating the amplitude and phase of the microwave signal emitted by the voltage-controlled oscillator; using a phase identification module to identify the phase of the second optical pulse and the microwave signal emitted by the voltage-controlled oscillator, the difference between the two is obtained. The phase difference; using the phase difference as a feedback signal, feedback control is performed on the voltage controlled oscillator. When the entire system is in a steady state, the frequency of the microwave signal emitted by the voltage controlled oscillator is synchronized to the first light pulse repetition On the inter-harmonics of the frequency, the repetition frequency of the second optical pulse also achieves frequency division of the repetition frequency of the first optical pulse.
进一步地,在对第二光脉冲与压控振荡器发出的微波信号进行鉴相前,先令第二光脉冲经过一个可饱和吸收体。饱和吸收体的自身性质决定了高峰值功率脉冲可以通过,低峰值功率脉冲被抑制,因而可以进一步抑制掉不需要的时域脉冲分量。Further, before phase identification is performed between the second optical pulse and the microwave signal emitted by the voltage-controlled oscillator, the second optical pulse passes through a saturable absorber. The nature of the saturable absorber determines that high peak power pulses can pass through, while low peak power pulses are suppressed, thus further suppressing unnecessary time domain pulse components.
优选地,所述鉴相模块包括一个双偏振双驱动马赫增德尔调制器,其射频输入连接一个一分二微波功分器,其光纤输出连接一个偏振分束器,偏振分束器的两个输出端口接入一个低速平衡探测器。Preferably, the phase detection module includes a dual-polarization dual-drive Mach-Zehnder modulator, the radio frequency input of which is connected to a one-to-two microwave power splitter, the fiber output of which is connected to a polarizing beam splitter, and the two polarizing beam splitters The output port is connected to a low-speed balanced detector.
优选地,所述鉴相模块还可以为一个经由光纤顺次首尾连接的2×2光耦合器、相位调制器、π/2相移晶体所构成的Sagnac环结构,且在该Sagnac环结构一个输出端的外侧连接有光环形器,环路的两个输出端接入一个低速平衡探测器。Preferably, the phase identification module can also be a Sagnac ring structure composed of a 2×2 optical coupler, a phase modulator, and a π/2 phase shift crystal connected end-to-end via optical fibers, and in the Sagnac ring structure An optical circulator is connected to the outside of the output end, and a low-speed balanced detector is connected to the two output ends of the loop.
优选地,所述光开关为马赫增德尔调制器。Preferably, the optical switch is a Mach-Zehnder modulator.
基于同一发明构思还可以得到以下技术方案:Based on the same inventive concept, the following technical solutions can also be obtained:
一种光脉冲间谐波提取装置,包括:An optical inter-pulse harmonic extraction device, including:
光开关,用于通过该光开关的通断改变第一光脉冲的重复频率,得到第二光脉冲,该光开关由一余弦微波信号驱动,所述余弦微波信号是通过对压控振荡器发出的微波信号进行幅相调控得到;An optical switch is used to change the repetition frequency of the first optical pulse by turning the optical switch on and off to obtain a second optical pulse. The optical switch is driven by a cosine microwave signal, and the cosine microwave signal is passed through a voltage-controlled oscillator. The emitted microwave signal is obtained by adjusting the amplitude and phase;
鉴相模块,用于对第二光脉冲与压控振荡器发出的微波信号进行鉴相,得到两者间的相位差;The phase identification module is used to identify the phase of the second optical pulse and the microwave signal emitted by the voltage-controlled oscillator to obtain the phase difference between the two;
反馈控制模块,用于以所述相位差作为反馈信号,对所述压控振荡器进行反馈控制,当整个系统处于稳态时,压控振荡器所发出微波信号的频率被同步到第一光脉冲重复频率的间谐波上,第二光脉冲的重复频率也实现了对第一光脉冲重复频率的分频。A feedback control module is used to perform feedback control on the voltage-controlled oscillator using the phase difference as a feedback signal. When the entire system is in a steady state, the frequency of the microwave signal emitted by the voltage-controlled oscillator is synchronized to the first optical signal. On the inter-harmonic of the pulse repetition frequency, the repetition frequency of the second optical pulse also achieves frequency division of the repetition frequency of the first optical pulse.
进一步地,该装置还包括:Further, the device also includes:
可饱和吸收体,设置于光开关输出端与鉴相模块输入端之间。The saturable absorber is arranged between the output end of the optical switch and the input end of the phase detection module.
优选地,所述鉴相模块包括一个双偏振双驱动马赫增德尔调制器,其射频输入连接一个一分二微波功分器,其光纤输出连接一个偏振分束器,偏振分束器的两个输出端口接入一个低速平衡探测器。Preferably, the phase detection module includes a dual-polarization dual-drive Mach-Zehnder modulator, the radio frequency input of which is connected to a one-to-two microwave power splitter, the fiber output of which is connected to a polarizing beam splitter, and the two polarizing beam splitters The output port is connected to a low-speed balanced detector.
优选地,所述鉴相模块还可以为一个经由光纤顺次首尾连接的2×2光耦合器、相位调制器、π/2相移晶体所构成的Sagnac环结构,且在该Sagnac环结构一个输出端的外侧连接有光环形器,环路的两个输出端接入一个低速平衡探测器。Preferably, the phase identification module can also be a Sagnac ring structure composed of a 2×2 optical coupler, a phase modulator, and a π/2 phase shift crystal connected end-to-end via optical fibers, and in the Sagnac ring structure An optical circulator is connected to the outside of the output end, and a low-speed balanced detector is connected to the two output ends of the loop.
优选地,所述光开关为马赫增德尔调制器。Preferably, the optical switch is a Mach-Zehnder modulator.
相比现有技术,本发明技术方案具有以下有益效果:Compared with the existing technology, the technical solution of the present invention has the following beneficial effects:
一、本发明突破了光脉冲重复频率对可从中提取的微波信号的频率限制,实现了对脉冲重复频率间谐波的提取;1. The present invention breaks through the frequency limitation of the microwave signal that can be extracted from the optical pulse repetition frequency, and realizes the extraction of harmonics between the pulse repetition frequencies;
二、本发明在提取脉冲重复频率间谐波的同时,实现了对脉冲重复频率的分频,得到了新的光脉冲序列;2. While extracting the harmonics between the pulse repetition frequencies, the present invention realizes frequency division of the pulse repetition frequencies and obtains a new optical pulse sequence;
三、本发明相比于传统的电学分频与混频方法,该方法保留了锁模激光器的低相噪特性,相噪恶化少。3. Compared with the traditional electrical frequency dividing and mixing method, this method retains the low phase noise characteristics of the mode-locked laser and causes less phase noise deterioration.
附图说明Description of the drawings
图1为本发明光脉冲间谐波提取装置一个优选实施例的结构示意图;Figure 1 is a schematic structural diagram of a preferred embodiment of the optical inter-pulse harmonic extraction device of the present invention;
图2为射频幅相调控模块的一种具体结构示意图;Figure 2 is a specific structural schematic diagram of the radio frequency amplitude and phase control module;
图3为鉴相模块的一种具体结构示意图;Figure 3 is a specific structural schematic diagram of the phase identification module;
图4为鉴相模块的另一种具体结构示意图;Figure 4 is another specific structural schematic diagram of the phase identification module;
图5为光脉冲经过光开关前后的波形及光开关响应的仿真图;Figure 5 is a simulation diagram of the waveforms of the light pulse before and after passing through the optical switch and the response of the optical switch;
图6为光脉冲重复频率分频实验验证结果图;Figure 6 shows the verification results of the light pulse repetition frequency frequency division experiment;
图7为光脉冲间谐波提取实验验证结果图。Figure 7 shows the experimental verification results of harmonic extraction between optical pulses.
具体实施方式Detailed ways
针对现有技术的不足,本发明的解决思路是利用压控振荡器产生频率为光脉冲重频间谐波频率的信号,用该信号驱动一个光开关,通过光开关的光脉冲和微波信号在鉴相器中比较相位,获得的相位差信号被用于反馈控制压控振荡器,当系统处于稳态时,光脉冲在通过光开关后被分频,压控振荡器的输出频率将被同步到光脉冲的间谐波上。In view of the shortcomings of the existing technology, the solution of the present invention is to use a voltage-controlled oscillator to generate a signal with a frequency that is the harmonic frequency between the repetition frequencies of the optical pulse, and use this signal to drive an optical switch. The optical pulse and microwave signal passing through the optical switch are The phase is compared in the phase detector, and the phase difference signal obtained is used to feedback control the voltage-controlled oscillator. When the system is in a steady state, the light pulse is divided after passing through the optical switch, and the output frequency of the voltage-controlled oscillator will be synchronized. to the interharmonics of the light pulse.
本发明所提出的光脉冲间谐波提取方法,具体如下:The optical inter-pulse harmonic extraction method proposed by the present invention is as follows:
将第一光脉冲输入一个光开关,该光开关由一余弦微波信号驱动,通过光开关的通断改变第一光脉冲的重复频率,得到第二光脉冲,所述余弦微波信号是通过对压控振荡器发出的微波信号进行幅相调控得到;使用鉴相模块对第二光脉冲与压控振荡器发出的微波信号进行鉴相,得到两者间的相位差;以所述相位差作为反馈信号,对所述压控振荡器进行反馈控制,当整个系统处于稳态时,压控振荡器所发出微波信号的频率被同步到第一光脉冲重复频率的间谐波上,第二光脉冲的重复频率也实现了对第一光脉冲重复频率的分频。The first optical pulse is input into an optical switch. The optical switch is driven by a cosine microwave signal. The repetition frequency of the first optical pulse is changed by turning the optical switch on and off to obtain a second optical pulse. The cosine microwave signal is generated by The microwave signal emitted by the voltage-controlled oscillator is obtained by adjusting the amplitude and phase; using a phase identification module to identify the phase of the second optical pulse and the microwave signal emitted by the voltage-controlled oscillator to obtain the phase difference between the two; using the phase difference as feedback signal to perform feedback control on the voltage-controlled oscillator. When the entire system is in a steady state, the frequency of the microwave signal emitted by the voltage-controlled oscillator is synchronized to the interharmonic of the repetition frequency of the first light pulse. The repetition frequency of the pulse also achieves frequency division of the repetition frequency of the first light pulse.
本发明所提出光脉冲间谐波提取装置,包括:The optical inter-pulse harmonic extraction device proposed by the present invention includes:
光开关,用于通过该光开关的通断改变第一光脉冲的重复频率,得到第二光脉冲,该光开关由一余弦微波信号驱动,所述余弦微波信号是通过对压控振荡器发出的微波信号进行幅相调控得到;An optical switch is used to change the repetition frequency of the first optical pulse by turning the optical switch on and off to obtain a second optical pulse. The optical switch is driven by a cosine microwave signal, and the cosine microwave signal is passed through a voltage-controlled oscillator. The emitted microwave signal is obtained by adjusting the amplitude and phase;
鉴相模块,用于对第二光脉冲与压控振荡器发出的微波信号进行鉴相,得到两者间的相位差;The phase identification module is used to identify the phase of the second optical pulse and the microwave signal emitted by the voltage-controlled oscillator to obtain the phase difference between the two;
反馈控制模块,用于以所述相位差作为反馈信号,对所述压控振荡器进行反馈控制,当整个系统处于稳态时,压控振荡器所发出微波信号的频率被同步到第一光脉冲重复频率的间谐波上,第二光脉冲的重复频率也实现了对第一光脉冲重复频率的分频。A feedback control module is used to perform feedback control on the voltage-controlled oscillator using the phase difference as a feedback signal. When the entire system is in a steady state, the frequency of the microwave signal emitted by the voltage-controlled oscillator is synchronized to the first optical signal. On the inter-harmonic of the pulse repetition frequency, the repetition frequency of the second optical pulse also achieves frequency division of the repetition frequency of the first optical pulse.
为了便于公众理解,下面通过一个优选实施例并结合附图来对本发明的技术方案进行详细说明:In order to facilitate public understanding, the technical solution of the present invention is described in detail below through a preferred embodiment and in conjunction with the accompanying drawings:
如图1所示,本实施例的光脉冲间谐波提取装置由一个锁模激光器,一个射频幅相调控模块,一个光开关模块,一个可饱和吸收体,一个鉴相模块,一个反馈控制器,一个压控振荡器和两个定向耦合器构成。如图1所示,锁模激光其产生的光脉冲信号首先输入一个光开关模块;由压控振荡器产生的射频信号经过第一定向耦合器分为两路,一路作为系统的射频输出,另一路再经过第二定向耦合器分为两路,一路经射频幅相调控模块后驱动光开关模块,另一路输入鉴相模块;经过光开关模块的光脉冲再经过一个可饱和吸收体,然后被光耦合器分为两路,一路作为系统的光信号输出,一路输入鉴相模块,获取与射频信号之间的相位差信息;鉴相器的输出经由反馈控制器对压控振荡器进行控制。As shown in Figure 1, the optical inter-pulse harmonic extraction device of this embodiment consists of a mode-locked laser, a radio frequency amplitude and phase control module, an optical switch module, a saturable absorber, a phase detection module, and a feedback controller , consisting of a voltage controlled oscillator and two directional couplers. As shown in Figure 1, the optical pulse signal generated by the mode-locked laser is first input into an optical switch module; the RF signal generated by the voltage-controlled oscillator is divided into two channels through the first directional coupler, and one channel is used as the RF output of the system. The other channel is divided into two channels through the second directional coupler. One channel drives the optical switch module after passing through the radio frequency amplitude and phase control module, and the other channel inputs the phase detection module; the light pulse passing through the optical switch module then passes through a saturable absorber, and then It is divided into two channels by the optical coupler, one is used as the optical signal output of the system, and the other is input to the phase detector module to obtain the phase difference information with the radio frequency signal; the output of the phase detector controls the voltage-controlled oscillator through the feedback controller. .
本实施例中的射频幅相调控模块如图2所示,是包括射频放大器、射频衰减器和射频移相器的链路。The radio frequency amplitude and phase control module in this embodiment is shown in Figure 2 and is a link including a radio frequency amplifier, a radio frequency attenuator and a radio frequency phase shifter.
本实施例中的光开关模块采用马赫增德尔调制器,光开关的开关状态由马赫增德尔调制器的偏置状态和驱动信号的幅度、相位决定,其大带宽特性可以帮助提取大带宽范围内的射频信号。The optical switch module in this embodiment uses a Mach-Zehnder modulator. The switching state of the optical switch is determined by the bias state of the Mach-Zehnder modulator and the amplitude and phase of the driving signal. Its large-bandwidth characteristics can help extract data within a wide bandwidth range. of radio frequency signals.
所述鉴相模块可采用现有的各种鉴相方案,其中一种结构如图3所示,包括一个双偏振双驱动马赫增德尔调制器,其射频输入连接一个一分二微波功分器,其光纤输出连接一个偏振分束器,偏振分束器的两个输出端口接入一个低速平衡探测器。The phase identification module can adopt various existing phase identification solutions. One structure is shown in Figure 3, which includes a dual-polarization dual-drive Mach-Zehnder modulator, and its radio frequency input is connected to a one-to-two microwave power splitter. , its optical fiber output is connected to a polarizing beam splitter, and the two output ports of the polarizing beam splitter are connected to a low-speed balanced detector.
鉴相模块的另一种结构如图4所示,包括一个经由光纤顺次首尾连接的2×2光耦合器、相位调制器、π/2相移晶体所构成的Sagnac环结构,且在该Sagnac环结构一个输出端的外侧连接有光环形器,环路的两个输出端接入一个低速平衡探测器。Another structure of the phase identification module is shown in Figure 4, which includes a Sagnac ring structure composed of a 2×2 optical coupler, a phase modulator, and a π/2 phase-shift crystal connected end-to-end via optical fibers, and in this An optical circulator is connected to the outside of one output end of the Sagnac ring structure, and a low-speed balanced detector is connected to the two output ends of the loop.
为便于公众理解,下面对本发明技术方案的基本原理做进一步详细的理论说明,为了简化过程,相关数学推导均在系统的稳态条件下进行。In order to facilitate public understanding, the basic principles of the technical solution of the present invention are further theoretically explained in detail below. In order to simplify the process, the relevant mathematical derivation is performed under the steady-state conditions of the system.
由于光脉冲的脉宽极窄,所以锁模激光器输出的可以写为:Since the pulse width of the optical pulse is extremely narrow, the output of the mode-locked laser can be written as:
其中P为单个脉冲的峰值功率,frep为脉冲的重复频率,Trep为脉冲最小正周期,δ为冲激函数。Where P is the peak power of a single pulse, f rep is the repetition frequency of the pulse, T rep is the minimum positive period of the pulse, and δ is the impulse function.
压控振荡器产生的射频信号为:The radio frequency signal generated by the voltage controlled oscillator is:
其中A为射频信号的幅度,是射频信号的相位且接近0,N是整数。该射频信号的频率为脉冲重频的(N+p)次谐波。在经过射频幅相调控模块后,可以表示为:where A is the amplitude of the radio frequency signal, is the phase of the radio frequency signal and is close to 0, N is an integer. The frequency of the radio frequency signal is the (N+p) harmonic of the pulse repetition frequency. After passing through the RF amplitude and phase control module, it can be expressed as:
m(t)=acos(2π(N+p)frept),(p=1/2,1/3,2/3)m(t)=acos(2π(N+p)f rep t),(p=1/2,1/3,2/3)
其中a是调控后的幅度,经移相器后,由正弦信号转变为余弦信号。where a is the adjusted amplitude. After passing through the phase shifter, the sinusoidal signal is converted into a cosine signal.
光开关模块采用马赫增德尔调制器,经幅相调控后的射频信号驱动,锁模激光器发出的光脉冲经马赫增德尔调制器后可表示为:The optical switch module uses a Mach-Zehnder modulator and is driven by a radio frequency signal after amplitude and phase control. The optical pulse emitted by the mode-locked laser can be expressed as:
其中Vπ和θ分别是马赫增德尔调制器的半波电压和偏置相位。为了实现重频分频,需要对一些脉冲时域分量进行抑制,这可以通过调节a和θ的大小来实现。先考虑p=1/2时的情况。此时脉冲的幅度已呈现出周期为原始周期2倍的情况,所以只需要考虑n=0和1时的脉冲分量即可。这里设n=0时,脉冲幅度不为0,n=1时,脉冲幅度为0,这样可以得到如下条件:where V π and θ are the half-wave voltage and bias phase of the Mach-Zehnder modulator, respectively. In order to achieve repeated frequency division, some pulse time domain components need to be suppressed, which can be achieved by adjusting the sizes of a and θ. Consider first the situation when p=1/2. At this time, the amplitude of the pulse has shown that the period is twice the original period, so only the pulse components when n=0 and 1 need to be considered. Here, it is assumed that when n=0, the pulse amplitude is not 0, and when n=1, the pulse amplitude is 0. In this way, the following conditions can be obtained:
当满足上式条件时,重频2分频理论上就可以实现。当n=0时,脉冲幅度不变,n=1时,脉冲幅度为0,便可得到分频的最优条件:When the above conditions are met, frequency division by 2 can be achieved theoretically. When n=0, the pulse amplitude remains unchanged. When n=1, the pulse amplitude is 0. The optimal conditions for frequency division can be obtained:
此时,马赫增德尔调制器的输出为:At this time, the output of the Mach-Zehnder modulator is:
可以看到脉冲的重复周期变为了原先的2倍,即重复频率实现了2分频。It can be seen that the pulse repetition period has doubled, that is, the repetition frequency has been divided by two.
再考虑p=1/3时的情况。此时脉冲的幅度已呈现出周期为原始周期3倍的情况,所以只需要考虑n=0,1和2时的脉冲分量即可。这里设n=0时,脉冲幅度不为0,n=1和2时,脉冲幅度为0,这样可以得到如下条件:Consider again the situation when p=1/3. At this time, the amplitude of the pulse has shown that the period is three times the original period, so only the pulse components when n=0, 1 and 2 need to be considered. Here, it is assumed that when n=0, the pulse amplitude is not 0, and when n=1 and 2, the pulse amplitude is 0. In this way, the following conditions can be obtained:
当满足上式条件时,重频3分频理论上就可以实现。当n=0时,脉冲幅度不变,n=1和2时,脉冲幅度为0,便可得到分频的最优条件:When the above conditions are met, frequency division by 3 can be achieved theoretically. When n=0, the pulse amplitude remains unchanged. When n=1 and 2, the pulse amplitude is 0, and the optimal conditions for frequency division can be obtained:
此时,马赫增德尔调制器的输出为:At this time, the output of the Mach-Zehnder modulator is:
可以看到脉冲的重复周期变为了原先的3倍,即重复频率实现了3分频。对于p=2/3时的情况,与p=1/3时的情况基本相同,同样实现了重复频率的3分频。综上,新产生的光脉冲串可记作:It can be seen that the pulse repetition period has become three times the original, that is, the repetition frequency has been divided by three. For the situation when p=2/3, it is basically the same as the situation when p=1/3, and the repetition frequency is also divided by 3. To sum up, the newly generated light pulse train can be recorded as:
图5展示了仿真结果。仿真时脉冲重复频率设置为102MHz,射频信号分别选用了51MHz(图5中的(a)),34MHz(图5中的(b))和68MHz(图5中的(c))。可以看到三者分别实现了2分频、3分频和3分频。Figure 5 shows the simulation results. During simulation, the pulse repetition frequency was set to 102MHz, and the radio frequency signals were selected to be 51MHz ((a) in Figure 5), 34MHz ((b) in Figure 5) and 68MHz ((c) in Figure 5). It can be seen that the three achieve frequency division by 2, frequency by 3 and frequency by 3 respectively.
考虑到实际应用中,马赫增德尔调制器的消光比有限,通常在20dB左右,高消光比型号可达到25dB,因此其输出的脉冲可进一步再经过一个可饱和吸收体,进一步抑制掉不需要的光脉冲分量,然后再输入鉴相模块。Considering that in practical applications, the extinction ratio of the Mach-Zehnder modulator is limited, usually around 20dB, and the high extinction ratio model can reach 25dB, so its output pulse can further pass through a saturable absorber to further suppress unnecessary The optical pulse component is then input into the phase detection module.
以图3中的鉴相模块为例进行鉴相原理的说明。在双偏振双驱动马赫增德尔调制器的上下两臂上,分别有一个马赫增德尔调制器;下路的马赫增德尔调制器之后有一个90°偏振旋转器,这样通过上下两臂的光具有相互正交的偏振态;压控振荡器的射频信号经过一个功分器分为两路,分别驱动上下两臂的马赫增德尔调制器,两个调制器分别偏置在互补的正交偏置点。这时,双偏振双驱动马赫增德尔调制器的输出可写为:Taking the phase identification module in Figure 3 as an example to illustrate the principle of phase identification. There is a Mach-Zehnder modulator on the upper and lower arms of the dual-polarization dual-drive Mach-Zehnder modulator; there is a 90° polarization rotator behind the lower Mach-Zehnder modulator, so that the light passing through the upper and lower arms has Mutually orthogonal polarization states; the RF signal of the voltage-controlled oscillator is divided into two paths through a power divider, which drives the Mach-Zehnder modulators on the upper and lower arms respectively. The two modulators are biased at complementary orthogonal biases. point. At this time, the output of the dual-polarization dual-drive Mach-Zehnder modulator can be written as:
其中为β为调制深度。通过一个偏振分束器将两个正交偏振态分成两路,一个低速的平衡探测器用于探测两路的平均光功率差,其输出为:where β is the modulation depth. The two orthogonal polarization states are split into two paths through a polarization beam splitter. A low-speed balanced detector is used to detect the average optical power difference between the two paths. Its output is:
由上式可以看到射频信号的相位被提取出来了。再通过一个反馈控制器,将该相位差补偿至压控振荡器,这样就实现了同步的维持,将原脉冲重频的间谐波提取了出来。From the above equation, we can see that the phase of the radio frequency signal is extracted. Then through a feedback controller, the phase difference is compensated to the voltage-controlled oscillator, thus maintaining synchronization and extracting the interharmonics of the original pulse repetition frequency.
进一步通过一个实验验证本发明方案的可行性。如图6所示,其中的(a)~(c)展示了分频前后脉冲的时域波形,其中的(d)~(f)展示了分频前后脉冲的频谱。可以发现脉冲的时间周期扩大了2倍、3倍,重复频率缩小了1/2、1/3;图7中的(a)~(c)分别展示了所提取的脉冲间谐波的相位噪声图,虚线是压控振荡器自由振荡状态下的相噪曲线,在实现和锁模激光器的同步后,相噪得到了极大的提升,如图7中实线所示,10kHz频偏处的相噪达到了-130dBc/Hz以下。The feasibility of the solution of the present invention is further verified through an experiment. As shown in Figure 6, (a) to (c) show the time domain waveforms of the pulse before and after frequency division, and (d) to (f) show the spectrum of the pulse before and after frequency division. It can be found that the time period of the pulse has been expanded by 2 times and 3 times, and the repetition frequency has been reduced by 1/2 and 1/3; Figure 7 (a) ~ (c) respectively show the phase noise of the extracted inter-pulse harmonics Figure, the dotted line is the phase noise curve of the voltage-controlled oscillator in the free oscillation state. After synchronization with the mode-locked laser is achieved, the phase noise has been greatly improved, as shown in the solid line in Figure 7, at 10kHz frequency deviation Phase noise reaches below -130dBc/Hz.
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