CN114324267A - Method and device for compensating Coriolis effect in fluorescence collection - Google Patents
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Abstract
本发明公开的一种荧光收集中补偿科氏力效应的方法及装置,属于冷原子干涉物理领域。本发明包括用于降低杂散光影响的透镜套组单元和定位原子空间位置的多象元硅PIN光电二极管。本发明通过探测真空腔内原子团受激辐射发出的荧光信号,增强后的荧光信号被多象元阵列探测器采集,通过近似高斯曲线拟合得到原子团半径,再经过科氏力公式求算出重力加速度偏值,结合实验测试值完成重力加速度值的补偿,克服科里奥利力效应,进一步提高测量精度和均匀性,大幅度提升冷原子物理领域荧光探测过程中的物理参数测量、信噪比和测量准确度。本发明具有抗背景光,信噪比高,同时具有装置结构紧凑、稳定性好、制作成本低、使用方便、调节灵敏度高等优点。
The invention discloses a method and a device for compensating Coriolis force effect in fluorescence collection, belonging to the field of cold atom interference physics. The present invention includes a lens set unit for reducing the effects of stray light and a multi-pixel silicon PIN photodiode for locating atomic spatial locations. The invention detects the fluorescent signal emitted by the stimulated radiation of the atomic group in the vacuum cavity, the enhanced fluorescence signal is collected by a multi-pixel array detector, the radius of the atomic group is obtained by approximate Gaussian curve fitting, and then the acceleration of gravity is calculated by the Coriolis force formula The offset value, combined with the experimental test value, completes the compensation of the gravitational acceleration value, overcomes the Coriolis force effect, further improves the measurement accuracy and uniformity, and greatly improves the physical parameter measurement, signal-to-noise ratio and signal-to-noise ratio in the fluorescence detection process in the field of cold atom physics. Measurement accuracy. The invention has the advantages of anti-background light, high signal-to-noise ratio, compact device structure, good stability, low manufacturing cost, convenient use and high adjustment sensitivity.
Description
技术领域technical field
本发明涉及一种用于原子末态荧光收集的装置,属于冷原子干涉物理领域。The invention relates to a device for collecting atomic final state fluorescence, belonging to the field of cold atom interference physics.
背景技术Background technique
近年来冷原子应用方面的研究越来越多,主要是由于冷原子波长较长,冷原子团相干性强,可精细操控,并且当冷原子温度低于凝聚临界温度时,冷原子团形成玻色-爱因斯坦凝聚体,会呈现更多特性。因此冷原子物理研究对量子计算、量子信息存储、量子精密测量、原子干涉测量等领域有着重要的意义。In recent years, there have been more and more studies on the application of cold atoms, mainly due to the long wavelength of cold atoms, strong coherence of cold atomic groups, and fine manipulation, and when the temperature of cold atoms is lower than the condensation critical temperature, cold atomic groups form Bose- Einstein condensates will exhibit more properties. Therefore, the research of cold atom physics is of great significance to the fields of quantum computing, quantum information storage, quantum precision measurement, and atomic interferometry.
冷原子实验中,对冷原子的操控与探测至关重要,以冷原子干涉重力仪为例,在原子团下落过程中由于地球自转会产生东西方向的速度分量,进而产生科里奥利力造成干涉系统额外相移,引起的系统误差可达到10μGal量级,严重影响测量准确度和不确定度,在实际实验中需要进行修正补偿。报道的补偿该系统误差的方法是前后调转测量仪器180度,测量两次重力加速度值,原子的初速度v水平分量前后两次方向相反,求平均值可以将该项抵消,但该方法实际操作比较复杂。因此考虑当荧光探测均匀收集,原子团速度以原子团中心对称时,也可补偿科氏力。现有的荧光探测技术方案,主要分为两大类,普通单象元光电二极管探测器和CCD阵列型探测器。前者主要利用高增益多级放大对称探测实现,但装置复杂实验效果较差;后者使用CCD相机连续拍照探测,不仅耗能大而且装置尺寸也较大。以上传统荧光探测技术极大地限制了科氏力的补偿精度,不能满足冷原子物理领域尤其是量子精密测量方向的使用要求。In the cold atom experiment, the manipulation and detection of cold atoms is very important. Take the cold atom interferometric gravimeter as an example. During the fall of the atomic cluster, the rotation of the earth will generate an east-west velocity component, and then the Coriolis force will cause interference. The extra phase shift of the system can cause a systematic error of the order of 10 μGal, which seriously affects the measurement accuracy and uncertainty, and needs to be corrected and compensated in the actual experiment. The reported method of compensating for this system error is to turn the measuring instrument 180 degrees back and forth, and measure the gravitational acceleration twice. The initial velocity v horizontal component of the atom is in opposite directions, and the average value can cancel this out, but this method actually works. quite complicated. Therefore, it is considered that the Coriolis force can also be compensated when the fluorescence detection is uniformly collected and the atomic group velocity is symmetrical with the atomic group center. The existing fluorescent detection technical solutions are mainly divided into two categories, ordinary single-pixel photodiode detectors and CCD array detectors. The former is mainly realized by high-gain multi-stage amplifying symmetrical detection, but the device is complicated and the experimental effect is poor; The above traditional fluorescence detection technology greatly limits the compensation accuracy of the Coriolis force, and cannot meet the application requirements in the field of cold atom physics, especially in the direction of quantum precision measurement.
发明内容SUMMARY OF THE INVENTION
为解决现有荧光探测装置探测不均匀的缺点,提高荧光探测的精度,以满足其在冷原子物理领域的使用需求,本发明的主要目的是提供一种荧光收集中补偿科氏力效应的方法及装置,提高荧光探测的探测精度和均匀性,大幅度提升冷原子物理领域荧光探测过程中的物理参数测量、信噪比和测量准确度。本发明具有结构稳定、紧凑、易调节等优点。In order to solve the shortcomings of uneven detection of the existing fluorescence detection devices, improve the accuracy of fluorescence detection, and meet the needs of its use in the field of cold atom physics, the main purpose of the present invention is to provide a method for compensating the Coriolis force effect in fluorescence collection. And the device can improve the detection accuracy and uniformity of fluorescence detection, and greatly improve the physical parameter measurement, signal-to-noise ratio and measurement accuracy in the process of fluorescence detection in the field of cold atom physics. The invention has the advantages of stable structure, compactness, easy adjustment and the like.
本发明的目的是通过下述技术方案实现的:The purpose of this invention is to realize through following technical scheme:
本发明公开的一种荧光收集中补偿科氏力效应的方法,包括如下步骤:A method for compensating the Coriolis force effect in fluorescence collection disclosed in the present invention comprises the following steps:
步骤一、多象元阵列探测器将采集到的原子团的荧光光强信号转换为电压信号。Step 1: The multi-pixel array detector converts the collected fluorescence light intensity signal of the atomic group into a voltage signal.
原子团荧光光强为I0,单位为nW,探测器的转换效率为γ,单位为W/A,探测器的增益系数为ε,则电压值U=γ·ε·I0。The fluorescence intensity of the atomic group is I 0 , the unit is nW, the conversion efficiency of the detector is γ, the unit is W/A, and the gain coefficient of the detector is ε, then the voltage value U=γ·ε·I 0 .
步骤二、计算原子团半径xi。Step 2: Calculate the atomic group radius x i .
Ti时刻,多象元阵列探测器每个象元提供一个电压值,拟合出公式,得到曲线Uxi,进一步得到原子团半径xi。At time Ti, each pixel of the multi-pixel array detector provides a voltage value, and a formula is fitted to obtain the curve Uxi , and further obtain the radius of the atomic group xi .
步骤三、计算原子团水平速度v0。Step 3: Calculate the horizontal velocity v 0 of the atomic group.
原子团中心位置为x0,水平初速度为v0,对应两层探测有如下关系,The center position of the atomic group is x 0 , and the initial horizontal velocity is v 0 . The relationship between the two layers of detection is as follows:
x0+v0ti=xi x 0 +v 0 t i = xi
步骤四、计算重力加速度偏差值Δg。Step 4: Calculate the gravitational acceleration deviation value Δg.
由于在地球表面使用原子干涉仪测量重力加速度时,由于地球自转影响导致Raman光有效波矢keff的方向在惯性坐标系中发生转动,从而引入科里奥利力(Coriolis)效应,最终会影响测量重力值,引起的偏差为Δg:Since the direction of the effective wave vector k eff of the Raman light is rotated in the inertial coordinate system due to the influence of the earth's rotation when the gravitational acceleration is measured using an atomic interferometer on the earth's surface, the Coriolis effect is introduced, which will eventually affect The gravity value is measured, resulting in a deviation of Δg:
其中ΩE为地球自转角速度,v为原子团速度,keff为Raman光有效波矢,一般情况下沿着垂线方向,重力测量偏差主要由原子团的水平方向速度引起。where Ω E is the angular velocity of the earth's rotation, v is the velocity of the atomic group, and k eff is the effective wave vector of Raman light. Generally, along the vertical direction, the gravity measurement deviation is mainly caused by the horizontal velocity of the atomic group.
步骤五、结合实验测试值完成实现重力加速度值的科氏力效应补偿,即有效克服科里奥利力效应,提高荧光探测探测精度和均匀性,大幅度提升冷原子物理领域荧光探测过程中的物理参数测量信噪比和测量准确度。Step 5: Compensation of the Coriolis force effect of the gravitational acceleration value is completed in combination with the experimental test values, that is, to effectively overcome the Coriolis force effect, improve the detection accuracy and uniformity of fluorescence detection, and greatly improve the fluorescence detection process in the field of cold atom physics. Physical parameters measure signal-to-noise ratio and measurement accuracy.
科氏力引入的系统误差经计算得Δg,补偿后的重力加速度值为g:The systematic error introduced by Coriolis force is calculated as Δg, and the compensated gravitational acceleration value is g:
g=g0+Δgg=g 0 +Δg
其中g0为原子重力仪实验测得干涉条纹所得重力加速度值。where g 0 is the gravitational acceleration value obtained from the interference fringes measured by the atomic gravimeter experiment.
步骤一所述多象元阵列探测器将采集到的荧光光强信号时,需保证所述多象元阵列探测器位于原子团的东西方向;In step 1, when the multi-pixel array detector collects the fluorescent light intensity signal, it is necessary to ensure that the multi-pixel array detector is located in the east-west direction of the atomic group;
步骤二所述拟合出曲线Uxi的方法为:The method for fitting the curve Uxi described in step 2 is:
步骤2.1:计算原子数目。Step 2.1: Count the number of atoms.
把冷原子团等效为一个点,将原子团作为圆心,探测器的探测面所张开的立体角为:The cold atomic group is equivalent to a point, and the atomic group is taken as the center of the circle, the solid angle opened by the detection surface of the detector is:
其中,l为探测器中心与原子团中心的距离,r为探测器探测区域半径。为了消除背景光的影响,必须探测两次,一次有原子团,一次没有原子团,两次探测的数值相减得到净的荧光光强。并且要对光电二极管进行标定,用一束己知强度的激光照射光电二极管测出光电管的量子效应(a=电子数/光子数),单位时间单位立体角原子团发出的电子数为NRsca,则单位立体角的电流为NRscae,其中e为电子电荷。Among them, l is the distance between the center of the detector and the center of the atomic group, and r is the radius of the detection area of the detector. In order to eliminate the influence of background light, it must be detected twice, once with atomic groups and once without atomic groups, and subtract the values of the two detections to obtain the net fluorescence intensity. And to calibrate the photodiode, irradiate the photodiode with a beam of known intensity of laser light to measure the quantum effect of the photodiode (a = number of electrons/number of photons), the number of electrons emitted by the unit solid angle atomic group per unit time is NR sc a , the current per unit solid angle is NR sc ae, where e is the electron charge.
放大器的输出电压与输入的电流之间有:ΔU=β·ΔI,其中β的单位为v/mA,则探测器的电压示数:The output voltage of the amplifier and the input current are: ΔU=β·ΔI, where the unit of β is v/mA, then the voltage indication of the detector is:
则原子团内的原子数为:Then the number of atoms in the atomic group is:
其中Rsc为光散射率,Ω为测量区域所张立体角。where R sc is the light scattering rate, and Ω is the solid angle of the measurement area.
步骤2.2:计算原子团密度。Step 2.2: Calculate the atomic group density.
测出原子数目以后,再根据原子团下落过程持续探测,磁光阱里的原子在三维空间的分布遵循高斯密度分:After the number of atoms is measured, and then continue to detect according to the falling process of the atomic group, the distribution of atoms in the magneto-optical trap in three-dimensional space follows the Gaussian density score:
其中σx,σy,σz是在x,y,z方向上原子云的密度下降到最高值的1/e处时的半径(原子团半径)。n0是密度的最大值,它与原子团中的原子总数目有如下的关系:where σ x , σ y , and σ z are the radii (radius of atomic clusters) at which the density of the atomic cloud in the x, y, and z directions drops to 1/e of the highest value. n 0 is the maximum density, which is related to the total number of atoms in the group as follows:
尽管MOT在xoy上的分布并不是完全对称的,为方便原子团密度,作如下简化:σx=σy。只需要知道原予团中的原子总数目、x方向上原子团半径和z方向上原子团半径,即能够计算原子团密度。最大电压值时原子团最亮,粗略设定下落速度不变,即能够算出等效原子团半径,进而得到原子团的密度。Although the distribution of MOT on xoy is not completely symmetrical, for the convenience of the atomic group density, the following simplification is made: σ x =σ y . Only need to know the total number of atoms in the original group, the radius of the atomic group in the x direction and the radius of the atomic group in the z direction, that is, the density of the atomic group can be calculated. At the maximum voltage value, the atomic group is the brightest, and the falling speed is roughly set to remain unchanged, that is, the equivalent atomic group radius can be calculated, and then the density of the atomic group can be obtained.
步骤2.3:建立拟合公式;Step 2.3: Establish a fitting formula;
步骤2.4:通过近似高斯曲线拟合出曲线Uxi。Step 2.4: Fit the curve Uxi by approximate Gaussian curve.
本发明还公开一种荧光收集中补偿科氏力效应的装置,用于实现所述一种荧光收集中补偿科氏力效应的方法。所述一种荧光收集中补偿科氏力效应的装置包括一组用于的降低杂散光影响的透镜套组单元和一个定位原子空间位置的多象元硅PIN光电二极管;通过探测真空腔内原子团受激辐射发出的荧光信号经过透镜组,增强后的荧光信号被多象元阵列探测器采集,通过近似高斯曲线拟合得到原子团半径,然后再经过科氏力公式求算出重力加速度偏值,结合实验测试值完成重力加速度值得补偿,即有效克服科里奥利力效应,进一步提高测量精度和均匀性,大幅度提升冷原子物理领域荧光探测过程中的物理参数测量信噪比和测量准确度。The invention also discloses a device for compensating Coriolis force effect in fluorescence collection, which is used for realizing the method for compensating Coriolis force effect in fluorescence collection. The device for compensating the Coriolis force effect in fluorescence collection includes a set of lens set units for reducing the influence of stray light and a multi-pixel silicon PIN photodiode for locating the spatial position of atoms; by detecting atomic groups in a vacuum cavity The fluorescence signal emitted by the stimulated radiation passes through the lens group, and the enhanced fluorescence signal is collected by the multi-pixel array detector. The radius of the atomic group is obtained by fitting the approximate Gaussian curve, and then the gravitational acceleration deviation is calculated by the Coriolis force formula. The experimental test value completes the gravitational acceleration worth compensation, that is, effectively overcomes the Coriolis force effect, further improves the measurement accuracy and uniformity, and greatly improves the physical parameter measurement signal-to-noise ratio and measurement accuracy in the fluorescence detection process in the field of cold atom physics.
通过探测真空腔内自由下落的原子团受激辐射发出的荧光,通过二次成像透镜套组单元,比单次成像尺寸大幅缩短,解决荧光探测装置尺寸过大得问题。并且有效降低背景原子和杂散光的影响,提升光强信号的有效收集率,实现原子末态探测。By detecting the fluorescence emitted by the stimulated radiation of the free-falling atomic groups in the vacuum cavity, the secondary imaging lens set unit can greatly shorten the size of the single imaging, and solve the problem of the excessively large size of the fluorescence detection device. And effectively reduce the influence of background atoms and stray light, improve the effective collection rate of light intensity signals, and realize the detection of atomic final states.
由于原子受激辐射出的荧光信号较弱,通过高增益探测装置多象元阵列探测器实现光电信号转换,通过二级放大电路大幅提高探测器的增益,提升探测到微弱光强信号的能够,进而有效提升信噪比。Since the fluorescence signal emitted by the excited atom is weak, the photoelectric signal conversion is realized by the multi-pixel array detector of the high-gain detection device, and the gain of the detector is greatly improved by the secondary amplifier circuit, and the ability to detect weak light intensity signals is improved. This effectively improves the signal-to-noise ratio.
作为优选,所述一种荧光收集中补偿科氏力效应的装置,主要由真空腔窗口、原子团、荧光出射、集成镜筒、透镜固定卡环、第一透镜、透镜固定卡环二、第二透镜、透镜固定卡环三、第三透镜、透镜固定卡环四、荧光汇聚、多象元阵列探测器、信号采集处理显示器组成。原子团通过真空腔窗口发射出的荧光,打到集成镜筒的前端,镜筒内的透镜固定卡环一、第一透镜、透镜固定卡环二、第二透镜、透镜固定卡环三、第三透镜、透镜固定卡环四依次共轴排布;第二透镜采取与第一透镜性能参数一致的双胶合透镜镜像摆放,第三透镜使用正弯月透镜,减小荧光收集损失,并且缩短整个装置单元的轴向长度。原子团发射出的荧光经过二次成像透镜套组单元结构使荧光汇聚到多象元阵列探测器上,通过信号采集处理显示器完成数据转换处理。通过二次成像透镜套组单元,比单次成像尺寸大幅缩短,解决荧光探测装置尺寸过大的问题,并且有效降低背景原子和杂散光的影响,提升光强信号的有效收集率,实现原子末态探测。Preferably, the device for compensating the Coriolis force effect in fluorescence collection is mainly composed of a vacuum cavity window, atomic groups, fluorescence emission, integrated lens barrel, lens fixing snap ring, first lens, lens fixing snap ring II, and second lens fixing snap ring. Lens, lens fixing snap ring 3, third lens, lens fixing snap ring 4, fluorescence convergence, multi-pixel array detector, signal acquisition and processing display. The fluorescence emitted by the atomic group through the vacuum cavity window hits the front end of the integrated lens barrel. The lens fixing snap ring 1, the first lens, the lens fixing snap ring 2, the second lens, the lens fixing snap ring 3, the third lens fixing ring in the lens barrel The lens and the lens fixing ring are arranged coaxially in turn; the second lens adopts a doublet lens with the same performance parameters as the first lens, and the third lens uses a positive meniscus lens to reduce the loss of fluorescence collection and shorten the entire The axial length of the device unit. The fluorescence emitted by the atomic group passes through the unit structure of the secondary imaging lens set, so that the fluorescence is concentrated on the multi-pixel array detector, and the data conversion processing is completed through the signal acquisition and processing display. Through the secondary imaging lens set unit, the size of the single imaging is greatly shortened, which solves the problem that the size of the fluorescence detection device is too large, and effectively reduces the influence of background atoms and stray light, improves the effective collection rate of light intensity signals, and realizes atomic end state detection.
有益效果:Beneficial effects:
1、本发明公开的一种荧光收集中补偿科氏力效应的方法及装置,基于具有精确定位原子团中心的荧光收集装置实现,在冷原子物理实验中荧光探测不均匀会严重影响原子团数目的测算,本装置具有较高的探测均匀性,提高现有荧光探测技术的探测精度,大幅度提升冷原子物理领域荧光探测过程中的物理参数测量、信噪比和测量准确度。1. A method and device for compensating for the Coriolis force effect in fluorescence collection disclosed in the present invention is realized based on a fluorescence collection device with precisely positioned atomic group centers. In a cold atom physics experiment, uneven fluorescence detection will seriously affect the calculation of the number of atomic groups. The device has high detection uniformity, improves the detection accuracy of the existing fluorescence detection technology, and greatly improves the physical parameter measurement, signal-to-noise ratio and measurement accuracy in the fluorescence detection process in the field of cold atom physics.
2、本发明公开的一种荧光收集中补偿科氏力效应的方法及装置,通过探测真空腔内自由下落的原子团受激辐射发出的荧光,通过二次成像透镜套组单元,比单次成像尺寸大幅缩短,解决荧光探测装置尺寸过大的问题,并且有效降低背景原子和杂散光的影响,提升光强信号的有效收集率,最终完成原子末态探测过程。2. A method and device for compensating for the Coriolis force effect in fluorescence collection disclosed in the present invention, by detecting the fluorescence emitted by the stimulated radiation of free-falling atomic groups in a vacuum cavity, and passing through the secondary imaging lens set unit, compared with a single imaging The size is greatly shortened, which solves the problem that the size of the fluorescence detection device is too large, and effectively reduces the influence of background atoms and stray light, improves the effective collection rate of light intensity signals, and finally completes the atomic final state detection process.
3、本发明公开的一种荧光收集中补偿科氏力效应的方法及装置,由于原子受激辐射出的荧光信号较弱,通过高增益探测装置实现光电信号转换,通过二级放大电路,能够大幅提高探测器的增益,更好的探测到微弱光强信号,信噪比得到有效提升。3. A method and device for compensating the Coriolis force effect in fluorescence collection disclosed in the present invention, because the fluorescence signal emitted by atoms excitedly radiated is weak, the photoelectric signal conversion is realized by the high gain detection device, and the secondary amplifier circuit can be used to convert the photoelectric signal. The gain of the detector is greatly improved, the weak light intensity signal is better detected, and the signal-to-noise ratio is effectively improved.
4、本发明公开的一种荧光收集中补偿科氏力效应的方法及装置,由于地球自转产生的科里奥利力造成的重力测量系统偏差,通过多象元阵列探测器,能够精确拟合出原子团中心位置,从而获得原子团空间位置分布,实现重力测量值的有效补偿,直接提高重力测量的准确性。整体装置结构稳定、紧凑、易调节,便于实验使用。4. A method and device for compensating the Coriolis force effect in fluorescence collection disclosed in the present invention can accurately fit the deviation of the gravity measurement system caused by the Coriolis force generated by the earth's rotation through a multi-pixel array detector. The center position of the atomic group can be obtained, so as to obtain the spatial position distribution of the atomic group, realize the effective compensation of the gravity measurement value, and directly improve the accuracy of the gravity measurement. The overall structure of the device is stable, compact, and easy to adjust, which is convenient for experimental use.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动性的前提下,还可以根据这些附图获得其他的附图。In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention, and for those of ordinary skill in the art, other drawings can also be obtained from these drawings without any creative effort.
图1为本发明实施例提供的一种荧光收集中补偿科氏力效应的方法及装置中的装配图;1 is an assembly diagram of a method and device for compensating for Coriolis force effect in fluorescence collection according to an embodiment of the present invention;
图2为本发明实施例提供的一种荧光收集中补偿科氏力效应的方法及装置中科氏力影响原子团速度示意图;2 is a schematic diagram of the Coriolis force affecting the speed of the atomic group in a method and device for compensating for the Coriolis force effect in fluorescence collection provided by an embodiment of the present invention;
图3为本发明实施例提供的一种荧光收集中补偿科氏力效应的方法及装置的步骤流程图。3 is a flow chart of steps of a method and apparatus for compensating for Coriolis force effect in fluorescence collection according to an embodiment of the present invention.
其中,1-真空腔窗口;2-原子团;3-荧光出射;4-集成镜筒;5-透镜固定卡环一;6-第一透镜;7-透镜固定卡环二;8-第二透镜;9-透镜固定卡环三;10-第三透镜;11-透镜固定卡环四;12-荧光汇聚;13-多象元阵列探测器;14-信号采集处理显示器。Among them, 1-vacuum cavity window; 2-atomic group; 3-fluorescence emission; 4-integrated lens barrel; 5-lens fixing snap ring 1; 6-first lens; 7-lens fixing snap ring 2; 8-second lens ; 9-lens fixing snap ring three; 10-third lens; 11-lens fixing snap ring four; 12-fluorescence convergence; 13-multi-pixel array detector; 14-signal acquisition and processing display.
具体实施方式Detailed ways
为了更好的说明本发明的目的和优点,下面结合附图和实例对发明内容做进一步说明。In order to better illustrate the purpose and advantages of the present invention, the content of the invention will be further described below with reference to the accompanying drawings and examples.
实施例1:Example 1:
如图1所示,本实施例公开的一种荧光收集中补偿科氏力效应的方法及装置,由真空腔窗口1、原子团2、荧光出射3、集成镜筒4、透镜固定卡环一5、第一透镜6、透镜固定卡环二7、第二透镜8、透镜固定卡环三9、第三透镜10、透镜固定卡环四11、荧光汇聚12、多象元阵列探测器13、信号采集处理显示器14组成。其中,原子团2通过真空腔窗口1发射出的荧光3,打到集成镜筒4的前端,镜筒内的透镜固定卡环一5、第一透镜6、透镜固定卡环二7、第二透镜8、透镜固定卡环三9、第三透镜10、透镜固定卡环四11依次共轴排布。第二透镜8采取与第一透镜6性能参数一致的双胶合透镜镜像摆放,第三透镜10使用正弯月透镜,减小荧光收集损失,并且缩短整个装置单元的轴向长度。原子团发射出的荧光经过二次成像透镜套组单元结构使荧光汇聚12到多象元阵列探测器13上,通过信号采集处理显示器14完成数据转换处理。通过二次成像透镜套组单元,比单次成像尺寸大幅缩短,解决荧光探测装置尺寸过大得问题,并且有效降低背景原子和杂散光的影响,提升光强信号的有效收集率,实现原子末态探测。As shown in FIG. 1 , a method and device for compensating the Coriolis force effect in fluorescence collection disclosed in this embodiment includes a vacuum cavity window 1 , an atomic group 2 , a fluorescence emission 3 , an integrated lens barrel 4 , and a lens fixing snap ring 1 5 , the first lens 6, the lens fixing ring 2 7, the
所述科氏力影响原子团速度分布请参照图2,本实施例公开的一种荧光收集中补偿科氏力效应的方法,通过以下步骤实现:Please refer to FIG. 2 for the Coriolis force to affect the velocity distribution of the atomic group. A method for compensating for the Coriolis force effect in fluorescence collection disclosed in this embodiment is realized by the following steps:
步骤一、多象元阵列探测器将采集到的原子团的荧光光强信号转换为电压信号;原子团荧光光强为I0,单位为nW,探测器的转换效率为γ,单位为W/A,探测器的增益系数为ε,则电压值U=γ·ε·I0。Step 1. The multi-pixel array detector converts the collected fluorescence light intensity signal of the atomic group into a voltage signal; the fluorescence light intensity of the atomic group is I 0 , the unit is nW, the conversion efficiency of the detector is γ, the unit is W/A, The gain coefficient of the detector is ε, then the voltage value U=γ·ε·I 0 .
步骤二、计算原子团半径xi;Ti时刻,多象元阵列探测器每个象元提供一个电压值,拟合出公式,得到曲线Uxi,进一步得到原子团半径xi。Step 2: Calculate the radius x i of the atomic group; at the time of Ti, each pixel of the multi-pixel array detector provides a voltage value, and a formula is fitted to obtain the curve Uxi , and further obtain the radius of the atomic group xi .
步骤三、计算原子团水平速度v0;原子团中心位置为x0,水平初速度为v0,对应两层探测有如下关系,x0+v0ti=xi。Step 3: Calculate the horizontal velocity v 0 of the atomic group; the central position of the atomic group is x 0 , and the initial horizontal velocity is v 0 , corresponding to the two-layer detection, the following relationship is: x 0 +v 0 t i = xi .
步骤四、计算重力加速度偏差值Δg;由于在地球表面使用原子干涉仪测量重力加速度时,由于地球自转影响导致Raman光有效波矢keff的方向在惯性坐标系中发生转动,从而引入科里奥利力(Coriolis)效应,最终会影响测量重力值,引起的偏差为Δg:其中ΩE为地球自转角速度,v为原子团速度,keff为Raman光有效波矢,一般情况下沿着垂线方向,重力测量偏差主要由原子团的水平方向速度引起。Step 4: Calculate the gravitational acceleration deviation value Δg; when the gravitational acceleration is measured by the atomic interferometer on the surface of the earth, the direction of the effective wave vector k eff of the Raman light rotates in the inertial coordinate system due to the influence of the earth's rotation, thus introducing Corio The Coriolis effect will eventually affect the measured gravity value, resulting in a deviation of Δg: where Ω E is the angular velocity of the earth's rotation, v is the velocity of the atomic group, and k eff is the effective wave vector of Raman light. Generally, along the vertical direction, the gravity measurement deviation is mainly caused by the horizontal velocity of the atomic group.
步骤五、重力加速度值的补偿;科氏力引入的系统误差经计算可得Δg,最后的重力加速度值为g:g=g0+Δg。其中g0为原子重力仪实验测得干涉条纹所得重力加速度值。Step 5. Compensation of the gravitational acceleration value; the system error introduced by the Coriolis force can be calculated to obtain Δg, and the final gravitational acceleration value is g: g=g 0 +Δg. where g 0 is the gravitational acceleration value obtained from the interference fringes measured by the atomic gravimeter experiment.
其中步骤一所述多象元阵列探测器将采集到的荧光光强信号时,需保证所述多象元阵列探测器位于原子团的东西方向;Wherein, in step 1, when the multi-pixel array detector collects the fluorescence light intensity signal, it is necessary to ensure that the multi-pixel array detector is located in the east-west direction of the atomic group;
其中步骤二所述拟合曲线Uxi通过以下方法实现:Wherein the fitting curve Uxi described in step 2 is realized by the following method:
1)计算原子数目1) Calculate the number of atoms
把冷原子团看作—个点,将原子团作为圆心,探测器的探测面所张开的立体角为:Taking the cold atomic cluster as a point, and taking the atomic cluster as the center of the circle, the solid angle opened by the detection surface of the detector is:
其中,l为探测器中心与原子团中心的距离,r为探测器探测区域半径。为了消除背景光的影响,必须探测两次,一次有原子团,一次没有原子团,两次探测的数值相减得到净的荧光光强。并且要对光电二极管进行标定,用一束己知强度的激光照射光电二极管测出光电管的量子效应(a=电子数/光子数),单位时间单位立体角原子团发出的电子数为NRsca,则单位立体角的电流为NRsca,其中e为电子电荷。Among them, l is the distance between the center of the detector and the center of the atomic group, and r is the radius of the detection area of the detector. In order to eliminate the influence of background light, it must be detected twice, once with atomic groups and once without atomic groups, and subtract the values of the two detections to obtain the net fluorescence intensity. And to calibrate the photodiode, irradiate the photodiode with a beam of known intensity of laser light to measure the quantum effect of the photodiode (a = number of electrons/number of photons), the number of electrons emitted by the unit solid angle atomic group per unit time is NR sc a , the current per unit solid angle is NR sc a, where e is the electron charge.
若放大器的输出电压与输入的电流之间有:ΔU=β·ΔI,其中β的单位为v/mA,则探测器的电压示数:If there is a difference between the output voltage of the amplifier and the input current: ΔU=β·ΔI, where the unit of β is v/mA, the voltage indication of the detector is:
则原子团内的原子数为:Then the number of atoms in the atomic group is:
其中Rsc为光散射率,Ω为测量区域所张立体角。where R sc is the light scattering rate, and Ω is the solid angle of the measurement area.
2)原子团密度2) Density of atomic groups
测出原子数目以后,再根据原子团下落过程持续探测,磁光阱里的原子在三维空间的分布遵循高斯密度分布,After the number of atoms is measured, and then continue to detect according to the falling process of the atomic group, the distribution of atoms in the magneto-optical trap in three-dimensional space follows the Gaussian density distribution,
其中σx,σy,σz是在x,y,z方向上原子云的密度下降到最高值的1/e处时的半径(原子团半径)。n0是密度的最大值,它与原子团中的原子总数目有如下的关系:where σ x , σ y , and σ z are the radii (radius of atomic clusters) at which the density of the atomic cloud in the x, y, and z directions drops to 1/e of the highest value. n 0 is the maximum density, which is related to the total number of atoms in the group as follows:
尽管MOT在xoy上的分布并不是完全对称的,为简单起见我们假定σx=σy。这样我们只需要知道原予团中的原子总数目、x方向上原子团半径和z方向上原子团半径,就可以计算密度。最大电压值时原子团最亮,粗略设定下落速度不变,即可算出等效原子团半径,最终方可知道原子团的密度。Although the distribution of MOT over xoy is not completely symmetric, we assume σ x =σ y for simplicity. In this way, we only need to know the total number of atoms in the original group, the radius of the atomic group in the x direction and the radius of the atomic group in the z direction, and then we can calculate the density. At the maximum voltage value, the atomic group is the brightest, and the falling speed is roughly set to remain unchanged, and the equivalent atomic group radius can be calculated, and finally the density of the atomic group can be known.
3)建立拟合公式;3) Establish a fitting formula;
4)通过近似高斯曲线拟合出曲线Uxi。4) Fitting the curve Uxi by approximating the Gaussian curve.
以上所述的具体描述,对发明的目的、技术方案和有益效果进行了进一步详细说明,所应理解的是,以上所述仅为本发明的具体实施例而已,并不用于限定本发明的保护范围,凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above-mentioned specific descriptions further describe the purpose, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above-mentioned descriptions are only specific embodiments of the present invention, and are not intended to limit the protection of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.
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