CN113572022B - Laser frequency stabilization system based on improved double-path digital phase-locked amplifier - Google Patents
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Abstract
Description
技术领域technical field
本发明属于激光稳频技术领域,具体涉及一种基于改进的双路数字锁相放大器的激光稳频系统。利用改进的双路数字锁相放大器来实现激光稳频。The invention belongs to the technical field of laser frequency stabilization, in particular to a laser frequency stabilization system based on an improved dual-channel digital phase-locked amplifier. The laser frequency stabilization is realized by using an improved dual-channel digital lock-in amplifier.
背景技术Background technique
激光具有单色性好,相干性强的特性,在精密计量,引力波探测和信息科学等领域有着广泛的应用。但是传统自由运转的激光器频率稳定性差,在采取了被动稳频(温控,恒流源驱动等)设计后,其频率的漂移仍然不能满足现代精密测量对激光频率稳定度的要求,所以为提高激光器频率的长期精度必须采取一定的措施来主动提高激光器频率的稳定性。Laser has the characteristics of good monochromaticity and strong coherence, and has a wide range of applications in the fields of precision measurement, gravitational wave detection and information science. However, the frequency stability of the traditional free-running laser is poor. After the passive frequency stabilization (temperature control, constant current source drive, etc.) design is adopted, the frequency drift still cannot meet the requirements of modern precision measurement for the laser frequency stability. The long-term accuracy of the laser frequency must take certain measures to actively improve the stability of the laser frequency.
现有的激光器稳频方法种类繁多,其中有些需要通过调制激光频率(有内调或外调)的措施来产生误差信号,然后再利用锁相放大器从杂波中提取误差信号的方法来实现激光稳频的目的。但是目前提取误差信号的方法一般使用单路锁相放大器提取误差信号,再调整相位的同时观测误差信号的大小,直到肉眼观测到误差信号峰值最大的办法来确定相位最佳点。上述人工调整相位具有一定的主观性,且不具有实时性,无法解决在稳频过程中因相位抖动而引起的误差信号幅值抖动的问题。此外传统的双路输出数字相关解调器虽然可以获取信号幅值与相位,但是输出的幅值始终为正值不具有方向性,无法直接用于激光稳频。There are many kinds of existing laser frequency stabilization methods, some of which need to modulate the laser frequency (with internal or external modulation) to generate an error signal, and then use a lock-in amplifier to extract the error signal from the clutter to achieve laser stabilization. frequency purpose. However, the current method of extracting the error signal generally uses a single-channel lock-in amplifier to extract the error signal, and then adjusts the phase and observes the size of the error signal until the maximum peak value of the error signal is observed by the naked eye to determine the phase optimal point. The above-mentioned manual phase adjustment has a certain subjectivity and is not real-time, and cannot solve the problem of the amplitude jitter of the error signal caused by the phase jitter in the frequency stabilization process. In addition, although the traditional dual-output digital correlation demodulator can obtain the signal amplitude and phase, the output amplitude is always positive and has no directionality, so it cannot be directly used for laser frequency stabilization.
发明内容SUMMARY OF THE INVENTION
针对现有技术中存在的问题,本发明的目的在于提供一种基于改进的双路数字锁相放大器的激光稳频系统,通过对双路数字锁相放大器进行改进,可以直接提取误差信号的大小同时能够直接输出相位量,利用相位量实时调整参考信号,使误差信号始终处于理论值,从而提高误差信号信噪比,达到提升稳频精度的目的,此外稳频系统的相位自动调整功能提高了稳频的自动化程度。In view of the problems existing in the prior art, the purpose of the present invention is to provide a laser frequency stabilization system based on an improved dual-channel digital lock-in amplifier. By improving the dual-channel digital lock-in amplifier, the magnitude of the error signal can be directly extracted At the same time, it can directly output the phase amount, and use the phase amount to adjust the reference signal in real time, so that the error signal is always at the theoretical value, thereby improving the signal-to-noise ratio of the error signal and improving the frequency stabilization accuracy. In addition, the phase automatic adjustment function of the frequency stabilization system improves the The degree of automation of frequency stabilization.
为了达到上述目的,本发明采用以下技术方案予以实现。In order to achieve the above objects, the present invention adopts the following technical solutions to achieve.
基于改进的双路数字锁相放大器的激光稳频系统,包括:激光器、饱和吸收谱产生光路单元、光电探测器、跨阻放大器、ADC、改进的双路数字锁相放大器、第一频率合成器、数字加法器、三角波发生器、DAC和加法电路;Laser frequency stabilization system based on improved dual-channel digital lock-in amplifier, including: laser, saturable absorption spectrum generating optical circuit unit, photodetector, transimpedance amplifier, ADC, improved dual-channel digital lock-in amplifier, first frequency synthesizer , digital adder, triangular wave generator, DAC and adding circuit;
所述激光器发射激光,激光经过饱和吸收谱产生光路单元产生饱和吸收谱光信号;所述光电探测器接收饱和吸收谱光信号并将其转化成饱和谱电流信号,饱和谱电流信号通过跨阻放大器转化成能被ADC采集的电压信号,该电压信号经ADC转换成饱和谱数字信号后进入改进的双路数字锁相放大器;The laser emits laser light, and the laser passes through the saturable absorption spectrum generating optical circuit unit to generate a saturable absorption spectrum optical signal; the photodetector receives the saturable absorption spectrum optical signal and converts it into a saturated spectrum current signal, and the saturated spectrum current signal passes through a transimpedance amplifier. Converted into a voltage signal that can be collected by the ADC, the voltage signal is converted into a saturated spectrum digital signal by the ADC and then enters the improved dual-channel digital lock-in amplifier;
所述改进的双路数字锁相放大器提取饱和谱数字信号中的误差信号和相位信息,并将误差信号输出至数字PID电路获取反馈控制电压数字信号;同时,相位信息在改进的双路数字锁相放大器内部形成负反馈,动态调整相位差,使相位差始终为0°;The improved dual-channel digital lock-in amplifier extracts the error signal and phase information in the saturation spectrum digital signal, and outputs the error signal to the digital PID circuit to obtain the feedback control voltage digital signal; at the same time, the phase information is in the improved dual-channel digital lock. The negative feedback is formed inside the phase amplifier, and the phase difference is dynamically adjusted so that the phase difference is always 0°;
确定初始稳频点时,缩小激光器的频率扫描范围,直到只能观测到目标谱峰的误差信号,此时,所述数字加法器的三个输入端分别输入所述第一频率合成器生成调制信号、所述三角波发生器生成的扫频信号和改进的双路数字锁相放大器输出的误差信号,再结合激光频率的偏置点确定初始稳频点电压,并将其输送至加法电路;When determining the initial frequency stabilization point, narrow the frequency scanning range of the laser until only the error signal of the target spectral peak can be observed. At this time, the three input ends of the digital adder are respectively input to the first frequency synthesizer to generate modulation The signal, the frequency sweep signal generated by the triangular wave generator and the error signal output by the improved dual-channel digital lock-in amplifier, combined with the bias point of the laser frequency to determine the initial frequency stabilization point voltage, and send it to the summing circuit;
所述反馈控制电压数字信号通过DAC转换成模拟电压信号后送到加法电路,所述加法电路根据接收的初始稳频点电压和反馈控制电压输出稳频电压信号;利用该稳频电压信号实现激光器的稳频。The feedback control voltage digital signal is converted into an analog voltage signal by a DAC and then sent to an addition circuit, and the addition circuit outputs a frequency stabilization voltage signal according to the received initial frequency stabilization point voltage and the feedback control voltage; the frequency stabilization voltage signal is used to realize the laser frequency stabilization.
进一步地,所述改进的双路数字锁相放大器包含第二频率合成器、第三频率合成器、两个低通滤波器和两个数字乘法器;其中,所述第二频率合成器生成参考正弦解调信号,该信号与输入的饱和谱数字信号经一个数字乘法器相乘后经一个低通滤波器滤波,提取出误差信号,即I路信号;Further, the improved dual-channel digital lock-in amplifier includes a second frequency synthesizer, a third frequency synthesizer, two low-pass filters and two digital multipliers; wherein, the second frequency synthesizer generates a reference Sine demodulation signal, which is multiplied with the input saturation spectrum digital signal by a digital multiplier and filtered by a low-pass filter to extract the error signal, that is, the I-channel signal;
所述第三频率合成器生成参考余弦解调信号,该信号与输入的饱和谱数字信号经另一个数字乘法器相乘后经另一个低通滤波器滤波,得到Q路信号;The third frequency synthesizer generates a reference cosine demodulation signal, which is multiplied by another digital multiplier and filtered by another low-pass filter to obtain a Q-channel signal;
根据I路信号和Q路信号计算相位信息,并将相位信息反馈至第二频率合成器和第三频率合成器的相位输入口,动态调整相位使其为0°,使输出的误差信号最大。Calculate the phase information according to the I channel signal and the Q channel signal, and feed back the phase information to the phase input ports of the second frequency synthesizer and the third frequency synthesizer, and dynamically adjust the phase to make it 0° to maximize the output error signal.
进一步地,还包括PC机,通过串口将误差信号与相位输送到PC机中,并在PC机中实时显示数据。Further, it also includes a PC, which transmits the error signal and the phase to the PC through the serial port, and displays the data in the PC in real time.
进一步地,数字信号处理过程在FPGA中实现,即改进的双路数字锁相放大器、数字PID电路、第一频率合成器、第二频率合成器、第三频率合成器和三角波发生器通过FPGA实现。Further, the digital signal processing process is realized in FPGA, that is, the improved dual-channel digital lock-in amplifier, digital PID circuit, first frequency synthesizer, second frequency synthesizer, third frequency synthesizer and triangular wave generator are realized through FPGA .
进一步地,还包括压流转换器,用于根据稳频电压信号产生激光器的驱动电流。Further, a voltage-current converter is also included, which is used for generating the driving current of the laser according to the frequency-stabilized voltage signal.
进一步地,所述激光器和饱和吸收谱产生光路单元之间设置有法拉第隔离器,所述激光器连接有温控模块。Further, a Faraday isolator is arranged between the laser and the saturable absorption spectrum generating optical circuit unit, and a temperature control module is connected to the laser.
进一步地,所述饱和吸收谱产生光路单元包含第一分束镜、半波片、偏振分束镜、反射镜对、第二分束镜和铯泡,其中,激光经过第一分束镜分为稳频光和实验光,稳频光依次经半波片、偏振分束镜分为强泵浦光和弱光,强泵浦光通过第一反射镜对调整方向后,与探测光在铯泡处对射,产生饱和吸收谱信号;弱光通过第二分束镜分成参考光与探测光并通过光电探测器接收。Further, the saturable absorption spectrum generating optical path unit includes a first beam splitter, a half-wave plate, a polarization beam splitter, a mirror pair, a second beam splitter and a cesium bubble, wherein the laser is split through the first beam splitter. For frequency-stabilized light and experimental light, the frequency-stabilized light is divided into strong pump light and weak light by a half-wave plate and a polarization beam splitter in turn. The saturable absorption spectrum signal is generated at the bubble, and the weak light is divided into the reference light and the probe light by the second beam splitter and received by the photodetector.
与现有技术相比,本发明的有益效果为:Compared with the prior art, the beneficial effects of the present invention are:
(1)本发明对双路数字锁相放大器进行改进,使其可以同时获取误差信号与相位,根据相位可以在锁相环内部形成反馈环路,动态调整两者的相位差,使相位差始终为0°。摆脱了依靠人工调整的局限性,提高了稳频系统的智能化程度。同时因为锁相放大器内部负反馈环路的存在,可以减小系统工作过程中因相位抖动导致的误差信号抖动的问题,提高了误差信号的稳定性,从这个方面来说该方法通过减小相位差间接的提高了误差信号的信噪比,从而对于改善激光频率具有一定的意义。(1) The present invention improves the dual-channel digital phase-locked amplifier, so that it can obtain the error signal and the phase at the same time. According to the phase, a feedback loop can be formed inside the phase-locked loop to dynamically adjust the phase difference between the two, so that the phase difference is always is 0°. It gets rid of the limitation of relying on manual adjustment and improves the intelligence of the frequency stabilization system. At the same time, due to the existence of the negative feedback loop inside the lock-in amplifier, it can reduce the problem of error signal jitter caused by phase jitter in the working process of the system, and improve the stability of the error signal. From this aspect, this method reduces the phase The difference indirectly improves the signal-to-noise ratio of the error signal, which has a certain significance for improving the laser frequency.
(2)本发明的改进的双路数字锁相放大器提取的相位差,除了能够在内部形成反馈环路外还可以通过串口功能发送到PC机,再通过PC机实时显示。相对于观察误差信号幅值的方法,该方法更直观,即使关闭锁相放大器内部反馈环路,仍然能更直观的进行人工调整相位。(2) The phase difference extracted by the improved dual-channel digital lock-in amplifier of the present invention can not only form a feedback loop internally, but also can be sent to a PC through the serial port function, and then displayed in real time through the PC. Compared with the method of observing the amplitude of the error signal, this method is more intuitive. Even if the internal feedback loop of the lock-in amplifier is closed, it is still more intuitive to manually adjust the phase.
(3)使用本发明系统稳频时,当以外部信号调制激光器时,不需要使用额外的锁相环电路来同步参考信号与调制信号的相位,简化电路设计的同时提高了稳频系统的灵活性。(3) When using the system of the present invention to stabilize the frequency, when modulating the laser with an external signal, there is no need to use an additional phase-locked loop circuit to synchronize the phases of the reference signal and the modulated signal, which simplifies the circuit design and improves the flexibility of the frequency stabilization system. sex.
附图说明Description of drawings
下面结合附图和具体实施例对本发明做进一步详细说明。The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
图1为本发明的系统结构示意图;Fig. 1 is the system structure schematic diagram of the present invention;
图2为本发明实施例的饱和吸收谱产生光路单元的光路结构图;2 is an optical path structure diagram of a saturable absorption spectrum generating optical path unit according to an embodiment of the present invention;
图3为本发明实施例的改进的双路数字锁相放大器原理图;3 is a schematic diagram of an improved dual-channel digital lock-in amplifier according to an embodiment of the present invention;
以上图中,1激光器;2饱和吸收谱产生光路单元;21第一分束镜;22半波片;23偏振分束镜;24反射镜对;25第二分束镜;26铯泡;3光电探测器;4跨阻放大器;5ADC;6改进的双路数字锁相放大器;61第二频率合成器;62第三频率合成器;63低通滤波器;64数字乘法器;7第一频率合成器;8数字加法器;9三角波发生器;10DAC;11加法电路;12法拉第隔离器;13压流转换器;14温控模块。In the above figure, 1 laser; 2 saturable absorption spectrum generating optical path unit; 21 first beam splitter; 22 half-wave plate; 23 polarization beam splitter; 24 mirror pair; 25 second beam splitter; 26 cesium bubble; 3 Photodetector; 4 Transimpedance Amplifier; 5ADC; 6 Improved Dual-Channel Digital Lock-in Amplifier; 61 Second Frequency Synthesizer; 62 Third Frequency Synthesizer; 63 Low Pass Filter; 64 Digital Multiplier; 7 First Frequency Synthesizer; 8 digital adders; 9 triangle wave generators; 10DAC; 11 summing circuits; 12 Faraday isolators; 13 pressure-current converters; 14 temperature control modules.
具体实施方式Detailed ways
下面将结合实施例对本发明的实施方案进行详细描述,但是本领域的技术人员将会理解,下列实施例仅用于说明本发明,而不应视为限制本发明的范围。The embodiments of the present invention will be described in detail below in conjunction with the examples, but those skilled in the art will understand that the following examples are only used to illustrate the present invention and should not be regarded as limiting the scope of the present invention.
参考图1,本发明提供的一种基于改进的双路数字锁相放大器6的激光稳频系统,包括:激光器1、饱和吸收谱产生光路单元2、光电探测器3、跨阻放大器4、ADC5、改进的双路数字锁相放大器6、第一频率合成器7、数字加法器8、三角波发生器9、DAC10和加法电路11;Referring to FIG. 1, a laser frequency stabilization system based on an improved dual-channel digital lock-in
所述激光器1发射激光,激光经过饱和吸收谱产生光路单元2产生饱和吸收谱光信号;所述光电探测器3接收饱和吸收谱光信号并将其转化成饱和谱电流信号,饱和谱电流信号通过跨阻放大器4转化成能被ADC5采集的电压信号,该电压信号经ADC5转换成饱和谱数字信号后进入改进的双路数字锁相放大器6;The
所述改进的双路数字锁相放大器6提取饱和谱数字信号中的误差信号和相位信息,并将误差信号输出至数字PID电路获取反馈控制电压数字信号;同时,相位信息在改进的双路数字锁相放大器6内部形成负反馈,动态调整相位差,使相位差始终为0°;The improved dual-channel digital lock-in
确定初始稳频点时,缩小激光器1的频率扫描范围,直到只能观测到目标谱峰的误差信号,此时,所述数字加法器8的三个输入端分别输入所述第一频率合成器7生成调制信号、所述三角波发生器9生成的扫频信号和改进的双路数字锁相放大器6输出的误差信号,再结合激光频率的偏置点确定初始稳频点电压,并将其输送至加法电路11;When determining the initial frequency stabilization point, reduce the frequency scanning range of the
所述反馈控制电压数字信号通过DAC10转换成模拟电压信号后送到加法电路11,所述加法电路11根据接收的初始稳频点电压和反馈控制电压输出稳频电压信号;利用该稳频电压信号实现激光器1的稳频。The feedback control voltage digital signal is converted into an analog voltage signal by the DAC10 and then sent to the
本发明的系统包括DFB激光器1(分布式反馈激光器1),法拉第隔离器12,饱和吸收谱产生光路单元2以及平衡光电探测器3,跨阻放大器4,ADC5电路,DAC10电路,温控模块14,压流转换器13,FPGA芯片,以及通过FPGA实现的改进的双路数字锁相放大器6,数字PID,第一频率合成器7、第二频率合成器61、第三频率合成器62(DDS)等。饱和吸收谱产生光路单元2包含分束镜(BS),半波片22,偏振分束镜23(PBS),反射镜对24,铯泡26。The system of the present invention includes a DFB laser 1 (distributed feedback laser 1), a
DFB激光器1通过压流转换器13驱动,外加温控模块14进行温度设定,激光依次通过法拉第隔离器12、饱和吸收谱产生光路单元2照射到光电探测器3的输入端,光电探测器3的输出端经跨阻放大器4与ADC5(数模转换芯片)输入口相连,ADC5输出接FPGA,FPGA输出数字信号控制DAC10(数模转换芯片)输出,DAC10输出接加法电路11与直流偏置点相加后与压流转换的输入端连接,压流转换电路的输出驱动DFB激光器1输出激光,从而形成稳频回路。The
参考图2,对本发明的饱和吸收谱产生光路单元2的光路结构做进一步详细介绍。Referring to FIG. 2 , the optical path structure of the saturable absorption spectrum generating
饱和吸收谱产生光路单元2包含第一分束镜21、半波片22、偏振分束镜23、反射镜对24、第二分束镜25和铯泡26,其中,激光经过第一分束镜21分为稳频光和实验光,稳频光依次经半波片22、偏振分束镜23分为强泵浦光和弱光,强泵浦光通过第一反射镜对24调整方向后,与探测光在铯泡26处对射,产生饱和吸收谱信号;弱光通过第二分束镜25分成参考光与探测光并通过光电探测器3接收。The saturable absorption spectrum generating
具体地,激光S通过一个BS(分光比9:1)分成实验用光与参与稳频的激光。稳频光通过半波片22调整偏振,使通过偏振分束镜23PBS的激光分成泵浦光与弱光,泵浦光通过图示反射镜与PBS调整照射方向,最终与探测光在铯泡26处对射,产生饱和吸收谱信号。弱光通过第二分束镜25(分光比50:50)分成参考光与探测光并通过平衡探测器接收。调整激光器1驱动电流到吸收峰附近,打开激光器1扫频开关,泵浦光将铯原子饱和,此时探测光通过饱和后的铯原子时因兰姆效应会产生饱和吸收谱信号。Specifically, the laser S is divided into the experimental light and the laser participating in frequency stabilization through a BS (spectroscopy ratio of 9:1). The polarization of the frequency-stabilized light is adjusted by the half-
参照图3,对本发明的改进的双路数字锁相放大器6做进一步详细描述。Referring to FIG. 3 , the improved dual-channel digital lock-in
所述改进的双路数字锁相放大器6包含第二频率合成器61、第三频率合成器62、两个低通滤波器63和两个数字乘法器64;其中,所述第二频率合成器61生成参考正弦解调信号,该信号与输入的饱和谱数字信号经一个数字乘法器64相乘后经一个低通滤波器滤波63,提取出误差信号,即I路信号;The improved dual-channel digital lock-in
所述第三频率合成器62生成参考余弦解调信号,该信号与输入的饱和谱数字信号经另一个数字乘法器64相乘后经另一个低通滤波器滤波63,得到Q路信号;The third frequency synthesizer 62 generates a reference cosine demodulation signal, which is multiplied by another
根据I路信号和Q路信号计算相位信息,并将相位信息反馈至第二频率合成器61和第三频率合成器62的相位输入口,动态调整相位使其为0°,使输出的误差信号最大。Calculate the phase information according to the I-channel signal and the Q-channel signal, and feed back the phase information to the phase input ports of the
具体设激光调制频率为f0,采样频率为fs,令fs=N*f0(N>=2),则ADC5采集到的信号表达式为其中n(k)为高斯噪声,k表示采样点,N为一个信号周期内的采样点数,A(k)为信号幅度,θ(k)为相位信息。Specifically, the laser modulation frequency is f 0 , the sampling frequency is f s , and f s =N*f 0 (N>=2), then the expression of the signal collected by ADC5 is: where n(k) is Gaussian noise, k is the sampling point, N is the number of sampling points in a signal cycle, A(k) is the signal amplitude, and θ(k) is the phase information.
将第二频率合成器61(DDS)输出的正弦解调信号与s(k)通过数字乘法器64相乘,此时利用积化和差公式可以得出 The sinusoidal demodulation signal output by the second frequency synthesizer 61 (DDS) Multiply with s(k) by the
根据上述表达式得到两者之积会有一个差频项与倍频项经过低通滤波器63后倍频项被滤除,只剩下差频项输出因为是一个固定的数字值,可令其为1,此时I(k)=e(k),e(k)表示误差信号,θ(k)是参考信号与输入信号的相位差。According to the above expression, the product of the two will have a difference frequency term with the octave term After the low-
另一路,当s(k)与相乘后经过低通滤波器63后,同理可得到将I(k)与Q(k)送入FPGA的cordic IP核的输入口可以求得最后再将θ(k)反馈到FPGA内部的第二频率合成器61和第三频率合成器62的相位输入口,动态调整相位θ(k)使其为0°(具有动态调整输入信号与参考信号相位差的特性是改进锁相放大器区别于其他锁相放大器的本质特征,而这一特性特别适用于稳定激光频率),则此时输出的误差信号e(k)最大,其值为A(k)。此外可将相位差θ(k)与e(k)通过串口发送到主机端,在PC机中实时显示数据。Another way, when s(k) is equal to After multiplying and passing through the low-
本发明中第一频率合成器7、第二频率合成器61和第三频率合成器62对应生成的三个频率相同相位不同的正弦信号,第二频率合成器61和第三频率合成器62具有固定90°的相位差(分别生成正余弦信号)。In the present invention, the first frequency synthesizer 7, the
本发明提出了更智能且更适用于激光稳频的一种新型数字锁相放大器,该方法不局限于饱和谱稳频,同样适用于一些需要锁相放大器提取误差信号的稳频方法。The present invention proposes a new type of digital lock-in amplifier that is more intelligent and more suitable for laser frequency stabilization. The method is not limited to saturation spectrum frequency stabilization, but is also applicable to some frequency stabilization methods that require the lock-in amplifier to extract error signals.
下面具体以饱和谱稳频为例详细描述了本系统的具体实现步骤:The specific implementation steps of the system are described in detail below by taking the saturation spectrum frequency stabilization as an example:
步骤1,搭建光路:
驱动激光器1,让激光按照图2所示路径搭建光路,让泵浦光与探测光在铯泡26处尽可能重合,同时调整参考光与探测光的光强,使二者到达平衡光电探测器3时的光强尽量相同。Drive
步骤2,产生饱和谱信号并接收
同光强的泵浦光与探测光照射到平衡光电探测器3上,此时打开激光器1扫频按钮,同时缓慢调整驱动电流,直到在示波器上能清楚的看到6条谱峰。The pump light and the probe light with the same intensity are irradiated on the
步骤3,获取误差信号e(k)与相位θ(k)
铯原子吸收功率可以表示如下:PT(w)=P0exp[-α(w)x]The power absorbed by the cesium atom can be expressed as follows: P T (w)=P 0 exp[-α(w)x]
其中,P0是入射光强,α(w)为吸收系数,w为激光频率,x为激光穿过的铯原子区长度。Among them, P 0 is the incident light intensity, α(w) is the absorption coefficient, w is the laser frequency, and x is the length of the cesium atomic region that the laser passes through.
当吸收很小时(α(w)x<<1),利用泰勒公式可得PT(w)的近似式PT(w)≈P0[1-α(w)x]。进一步整理可得铯原子吸收功率△P(w)=P0-PT(w)=P0α(w)x。When the absorption is very small (α(w)x<<1), the approximate formula P T (w)≈P 0 [1-α(w)x] can be obtained by using Taylor's formula . Further arrangement can be obtained cesium atomic absorption power ΔP(w)=P 0 -P T (w)=P 0 α(w)x.
此时对激光器1的输出频率加入△w(t)的调制后吸收功率△P表示如下:At this time, the absorbed power ΔP after adding Δw(t) modulation to the output frequency of the
△P(w+△w(t))=P0α(w+△w(t))x△P(w+△w(t))=P 0 α(w+△w(t))x
又因为调制幅度△w(t)很小,远小于激光频率w,所以上述表达式可以进一步用泰勒公式展开,And because the modulation amplitude Δw(t) is very small, much smaller than the laser frequency w, the above expression can be further expanded by Taylor's formula,
其展开式如下:Its expansion is as follows:
令△w(t)=Asin(wt),此时吸收功率的△P(w+△w(t))的表达式如下:Let Δw(t)=Asin(wt), the expression of ΔP(w+Δw(t)) of absorbed power is as follows:
因为铯原子的吸收系数α(w)是洛伦兹型,具有偶对称性,其奇次微分在跃迁点两侧具有大小相同方向相反的特性,这一特性可以用来稳定激光器1的输出频率。Because the absorption coefficient α(w) of cesium atom is Lorentzian type and has even symmetry, its odd derivative has the same size and opposite direction on both sides of the transition point, which can be used to stabilize the output frequency of
本发明以一次微分方法稳频为例,此时饱和谱产生的主要有用信号s(t)=P0xAα′(w)sin(wt),其余可用噪声s(t)表示。将信号s(t)转化成电压信号后通过ADC5转化成数字量,利用锁相放大器提取微弱信号的特性,提取误差信号e(k)与相位差θ(k),然后再依据图3流程图输出误差信号e(k)并将相位信号送入锁相环内部的DDS相位调整口调整解调信号相位,同时可通过串口将e(k)与θ(k)发送到PC机中显示。The present invention takes the first-order differential method for frequency stabilization as an example. At this time, the main useful signal generated by the saturation spectrum is s(t)=P 0 xAα′(w) sin(wt), and the rest can be represented by noise s(t). Convert the signal s(t) into a voltage signal and then convert it into a digital quantity through ADC5, use the lock-in amplifier to extract the characteristics of the weak signal, extract the error signal e(k) and the phase difference θ(k), and then follow the flow chart in Figure 3. The error signal e(k) is output and the phase signal is sent to the DDS phase adjustment port inside the phase-locked loop to adjust the phase of the demodulated signal. At the same time, e(k) and θ(k) can be sent to the PC for display through the serial port.
步骤4,确定激光频率初始点
缩小激光器1频率扫描范围,直到PC机只能观测到目标谱峰的误差信号,记录误差信号最大与最小值对应的数字量,对二者求和取平均作为激光频率的初始点。Reduce the frequency scanning range of
步骤5,产生反馈控制信号
将改进的双路锁相放大器输出的误差信号送到数字PID电路中,得到反馈控制量。The error signal output by the improved two-way lock-in amplifier is sent to the digital PID circuit, and the feedback control quantity is obtained.
步骤6,获取用于稳频的电压量
将反馈控制量与调制量通过FPGA中的数字加法器8相加再通过DAC10输出电压量到加法电路11的输入口,激光频率初始点电压通过另一个DAC10芯片转化成电压量到加法电路11的另一输入端,此时加法电路11的输出便是用于稳频的电压量。The feedback control amount and the modulation amount are added by the
步骤7,转换成驱动激光器1的稳频电流:Step 7, convert into a frequency-stabilized current for driving laser 1:
将稳频的电压信号送到压流转换器13的输入端,经15欧姆的转换电阻得到能够稳定激光器1频率的驱动电流。The frequency-stabilized voltage signal is sent to the input end of the voltage-
本发明对双路数字锁相放大器进行改进,使其可以同时获取误差信号与相位,根据相位可以在锁相环内部形成反馈环路,动态调整两者的相位差,使相位差始终为0°。摆脱了依靠人工调整的局限性,提高了稳频系统的智能化程度。同时因为锁相放大器内部负反馈环路的存在可以减小系统工作过程中因相位抖动导致的误差信号抖动的问题,提高了误差信号的稳定性。The invention improves the dual-channel digital phase-locked amplifier, so that it can acquire the error signal and the phase at the same time, and according to the phase, a feedback loop can be formed inside the phase-locked loop to dynamically adjust the phase difference between the two, so that the phase difference is always 0° . It gets rid of the limitation of relying on manual adjustment and improves the intelligence of the frequency stabilization system. At the same time, because of the existence of the negative feedback loop inside the lock-in amplifier, the problem of the jitter of the error signal caused by the phase jitter in the working process of the system can be reduced, and the stability of the error signal can be improved.
虽然,本说明书中已经用一般性说明及具体实施方案对本发明作了详尽的描述,但在本发明基础上,可以对之作一些修改或改进,这对本领域技术人员而言是显而易见的。因此,在不偏离本发明精神的基础上所做的这些修改或改进,均属于本发明要求保护的范围。Although the present invention has been described in detail with general description and specific embodiments in this specification, some modifications or improvements can be made on the basis of the present invention, which will be obvious to those skilled in the art. Therefore, these modifications or improvements made without departing from the spirit of the present invention fall within the scope of the claimed protection of the present invention.
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