超衍射成像中 双螺旋点扩展函数的三维定位精度

开关效应和单分子定位的结合可以实现样品的超衍射分辨成像, 双螺旋点扩展函数将单分子定位纳米分辨从二维扩展到了三维.本文对双螺旋点扩展函数的三维定位精度展开了探讨.首先, 基于费希尔信息量, 计算了双螺旋点扩展函数的无偏估计, 得出其理论定位精度, 并分析了光子数、背景噪声以及有效像元尺寸大小对其定位精度的影响; 其次, 基于单分子定位实验过程中对于数据分析通常采用的高斯拟合质心定位算法, 通过误差传递函数定律求得双螺旋点扩展函数的轴向定位精度.计算机模拟结果表明, 在光子数大于1000的条件下, 高斯拟合质心定位精度和费希尔信息量理论定位精度符合较好. 本文的讨论不仅为双螺旋点扩展函数的三维定位精度提供了理论依据, 同时也可为实验提供理论指导. 关键词： 双螺旋点扩展函数 费希尔信息量 定位精度 高斯拟合     

High-precision three-dimensional Rydberg atom localization in a four-level atomic system

Rydberg atoms have been widely investigated due to their large size, long radiative lifetime, huge polarizability and strong dipole-dipole interactions. The position information of Rydberg atoms provides more possibilities for quantum optics research, which can be obtained under the localization method. We study the behavior of three-dimensional(3 D)Rydberg atom localization in a four-level configuration with the measurement of the spatial optical absorption. The atomic localization precision depends strongly on the detuning and Rabi frequency of the involved laser fields. A 100% probability of finding the Rydberg atom at a specific 3 D position is achieved with precision of ～0.031λ. This work demonstrates the possibility for achieving the 3 D atom localization of the Rydberg atom in the experiment.     

基于音视频信息融合的目标检测与跟踪算法

针对单一视觉跟踪算法易受遮挡影响的缺陷,提出一种基于音视频信息融合的目标检测与跟踪算法。整个算法框架包括视频检测与跟踪、声源定位、音视频信息融合跟踪3个模块。视频检测与跟踪模块采用YOLOv5m算法作为视觉检测的框架,使用无迹卡尔曼滤波和匈牙利算法实现多目标的跟踪与匹配;声源定位模块采用十字型麦克风阵列获取音频信息,结合各麦克风接收信号的时延计算声源方位;音视频信息融合跟踪模块构建音视频似然函数和音视频重要性采样函数,采用重要性粒子滤波作为音视频融合跟踪的算法,实现对目标的跟踪。在室内复杂环境下对算法性能进行测试,结果表明该算法跟踪准确率达到90.68%,相较于单一模态算法具有更好的性能。     

基于粒子滤波的多普勒信息辅助目标定位跟踪算法

多基地声呐探测系统主要通过测量回波的时延和方位信息进行目标定位与跟踪,定位精度受声速、时延和方位测量误差的影响较大,可以通过多普勒信息辅助进一步提高定位跟踪精度。现有的多普勒信息辅助定位跟踪算法多适用于单基地声呐系统,多基地中的多普勒测量值与目标状态的关系更为复杂,需要研究新的融合方法。该文提出了一种适用于多基地声呐系统的多普勒信息辅助采样重要性重采样目标定位跟踪算法,将多普勒信息融入到粒子滤波的重采样过程,使重采样后的粒子集合更逼近目标的真实状态分布,从而提高了目标定位跟踪精度。数值仿真实验结果表明,提出的目标定位跟踪算法可以有效融合多普勒信息,提升目标定位跟踪精度。     

自适应分层采样辅助粒子滤波在视频跟踪中的应用研究

以视频目标跟踪中粒子滤波的粒子采样优化设计为研究内容,提出一种自适应分层采样辅助粒子滤波算法,以实现保证跟踪准确度和兼顾跟踪鲁棒性的要求.以Bhattacharyya系数为参量设计了粒子数调节函数,能够根据跟踪质量在粒子集中自适应分配用于保证准确度的粒子数和维持鲁棒性的粒子数.以最小二乘法对目标运动的预测点作为产生新粒子集的均值偏移操作起点,使新粒子集更准确的描述目标似然分布并提高算法效率.不同场景下的跟踪实验表明,算法能很好的应用于遮挡和运动方向渐变等情况下的跟踪,处理时间满足实时性要求.     

Three-dimensional tracking of small spheres in focused laser beams: influence of the detection angular aperture

Back-focal-plane interferometry is a method capable of determining the three-dimensional position of a particle with high precision (< 3 nm) at high sampling rates (1 MHz). We investigated theoretically the performance of such a system for dielectric spheres with diameters D = 0.53-3 microm and for metallic spheres with D < or = 300 nm. Good sensitivity and linearity were achieved for a detection angular aperture sin(alpha) of no more than 0.5. A value of sin(alpha) > 0.7 should be used only for dielectric spheres with diameters approximately equal to the laser wavelength. Harmonic optical traps can be calibrated by measurement of the thermal motion of the sphere. We performed Brownian dynamics simulations and subsequent thermal noise analyses to prove that the wrong sin(alpha) incorrectly suggests an increased and nonharmonic axial trapping potential.     

Simultaneous 3D localization of multiple MR-visible markers in fully reconstructed MR images: proof-of-concept for subsecond position tracking

Purpose

To determine whether a greatly reduced spatial resolution of fully reconstructed projection MR images can be used for the simultaneous 3D localization of multiple MR-visible markers and to assess the feasibility of a subsecond position tracking for clinical purposes.

Materials and Methods

Miniature, inductively coupled RF coils were imaged in three orthogonal planes with a balanced steady-state free precession (SSFP) sequence and automatically localized using a two-dimensional template fitting and a subsequent three-dimensional (3D) matching of the coordinates. Precision, accuracy, speed and robustness of 3D localization were assessed for decreasing in-plane resolutions (0.6–4.7 mm). The feasibility of marker tracking was evaluated at the lowest resolution by following a robotically driven needle on a complex 3D trajectory.

Results

Average 3D precision and accuracy, sensitivity and specificity of localization ranged between 0.1 and 0.4 mm, 0.5 and 1.0 mm, 100% and 95%, and 100% and 96%, respectively. At the lowest resolution, imaging and localization took ≈350 ms and provided an accuracy of ≈1.0 mm. In the tracking experiment, the needle was clearly depicted on the oblique scan planes defined by the markers.

Conclusion

Image-based marker localization at a greatly reduced spatial resolution is considered a feasible approach to monitor reference points or rigid instruments at subsecond update rates.     

基于时频差的正交容积卡尔曼滤波跟踪算法

针对基于时频差测量的无源跟踪中面临的非线性估计问题, 提出一种正交容积卡尔曼滤波跟踪算法. 该算法在容积卡尔曼滤波算法的基础上, 通过引入特定正交矩阵改进容积采样方法, 在高维状态估计下减小因采样产生的误差, 在没有增加计算量的前提下, 有效提高收敛速度及跟踪精度. 仿真结果表明, 在基于到达时差和到达频差的联合无源跟踪问题中, 与扩展卡尔曼滤波及容积卡尔曼滤波算法相比, 本文所提算法在跟踪性能上有明显提升.     

基于等角度与等时间采样技术扫描成像系统

为满足扫描成像系统对图象配准精度,从理论上分析了在等时间采样方式下,遥感仪器对扫描系统速度稳定度的要求.探讨了等角度这一新型采样方式应用于未来遥感仪器的可行性.并将这两种采样方式成功应用于自行研制的短波红外成像仪.扫描图象表明等角度采样可以避免等时采样所产生的图象畸变.     

Atom Localization Using a Rydberg State

A theoretical study is presented for two-dimensional (2D) and three-dimensional (3D) atom localization in a four-level atomic system involving a Rydberg state. The scheme is based on a mixture of two well-known V- and ladder-type systems illuminated by a weak probe field as well as control and switching laser beams of larger intensity, which could be standing waves. As a result of space-dependent atom? light interaction and due to the effect of Rydberg electromagnetically induced transparency or Rydberg electromagnetically induced absorption, various 2D and 3D localization structures appear. Specifically, the detecting probability and precision of 2D and 3D atom localization can be remarkably enhanced through suitable adjusting the controlling parameters of the system. The proposed scheme may provide a promising approach to achieve high precision and perfect resolution 2D and 3D atom localization.     

Terahertz frequency standard based on three-photon coherent population trapping

A scheme for a terahertz frequency standard based on three-photon coherent population trapping in stored ions is proposed. Assuming the propagation directions of the three lasers obey the phase matching condition, we show that stability of few 10(-14) at 1 s can be reached with a precision limited by power broadening to 10(-11) in the less favorable case. The referenced terahertz signal can be propagated over long distances, the useful information being carried by the relative frequency of the three optical photons.     

深穿透粒子输运问题的自适应抽样方法

屏蔽计算中的深穿透问题一直是蒙特卡罗计算的一个难题,研究了一种发射点作为驿站的随机游动机制,推导了相应的自适应抽样方法。其主要优势在于,在蒙特卡罗方法求解粒子输运的同时,利用已经获得的信息,自适应地控制各次抽样数,不断完善计算进程。通过对碰撞点引进重要性函数,实现发射点作为驿站的重要性抽样,并结合自适应控制达到最佳抽样状态。数值结果表明:基于发射点作为驿站的自适应抽样方法,在一定程度上克服了深穿透计算中估计值偏低现象。相应的重要函数抽样方法获得了满意的结果。     

数字平均对红外单光子探测器中温度控制系统信噪改善比的影响

针对用于量子保密通信中单光子探测器需要高精度温控系统的情况,分析了其温控系统中数字平均方案对系统信噪改善比的影响,给出了信噪改善比与平均次数、采样周期、总采样时间和白噪声带宽的函数关系.针对实际应用中总采样时间有限的情况,分别就平均次数、采样周期两个物理参量对系统信噪改善比的作用进行了计算,给出了总采样时间一定的情况下,信噪改善比的表达式,并定义了最佳的采样次数.     

Uniform distribution of projection data for improved reconstruction quality of 4D EPR imaging

In continuous wave (CW) electron paramagnetic resonance imaging (EPRI), high quality of reconstruction in a limited acquisition time is a high priority. It has been shown for the case of 3D EPRI, that a uniform distribution of the projection data generally enhances reconstruction quality. In this work, we have suggested two data acquisition techniques for which the gradient orientations are more evenly distributed over the 4D acquisition space as compared to the existing methods. The first sampling technique is based on equal solid angle partitioning of 4D space, while the second technique is based on Fekete points estimation in 4D to generate a more uniform distribution of data. After acquisition, filtered backprojection (FBP) is applied to carry out the reconstruction in a single stage. The single-stage reconstruction improves the spatial resolution by eliminating the necessity of data interpolation in multi-stage reconstructions. For the proposed data distributions, the simulations and experimental results indicate a higher fidelity to the true object configuration. Using the uniform distribution, we expect about 50% reduction in the acquisition time over the traditional method of equal linear angle acquisition.     

透过率起伏光谱分析法测粒技术

提出的透过率起伏光谱分析法是一种新的颗粒测量方法。采用一细小光束照射匀速流动的颗粒系统,通过采集透射光起伏信号,经统计处理得到透过率的平均值与起伏谱。通过求解逆问题,从透过率的起伏谱中得到颗粒粒径分布信息,再结合透过率的平均值得到颗粒的体积分数信息。给出了关于单层颗粒透过率的平均值与起伏谱的理论表达式,并推广到三维单分散和多分散的颗粒系统。对粒径在32~425μm内的稀薄颗粒系进行了部分实验测试和模拟计算,结果表明该方法可同时对颗粒粒径分布和体积分数进行有效测量。     

High-resolution three-dimensional atomic microscopy via double electromagnetically induced transparency

We aim to present a new scheme for high-dimensional atomic microscopy via double electromagnetically induced transparency in a four-level tripod system. For atom–field interaction, we construct a spatially dependent field by superimposing three standing-wave fields(SWFs) in 3 D-atom localization. We achieve a high precision and high spatial resolution of an atom localization by appropriately adjusting the system variables such as field intensities and phase shifts. We also see the impact of Doppler shift and show that it dramatically deteriorates the precision of spatial information on 3 D-atom localization. We believe that our suggested scheme opens up a fascinating way to improve the atom localization that supplies some practical applications in atom nanolithography, and Bose–Einstein condensation.     

Magnetic sublevel coincidence spectroscopy and characterisation of the 31D state of Helium

Instrumentation, techniques and a statistical analysis are described for the accurate observation of the two, and three, particle coincidences of the scattered energy loss electrons with the two sequential cascading photons from the 3¹D state of helium excited by incident electrons. A three-dimensional histogram data accumulation system enables the two, and three, particle true and random coincidences to be analysed. These observations yield information not obtainable in other ways and were used to deduce the scattering amplitudes, relative phases and their various combinations for the excited 3¹D state. The measured values agree with the best convergent close coupling calculations within one standard deviation experimental uncertainty.     

Temporal coherence of photons emitted by single nitrogen-vacancy defect centers in diamond using optical Rabi-oscillations

Photon interference among distant quantum emitters is a promising method to generate large scale quantum networks. Interference is best achieved when photons show long coherence times. For the nitrogen-vacancy defect center in diamond we measure the coherence times of photons via optically induced Rabi oscillations. Experiments reveal a close to Fourier-transform (i.e., lifetime) limited width of photons emitted even when averaged over minutes. The projected contrast of two-photon interference (0.8) is high enough to envisage applications in quantum information processing. We report 12 and 7.8 ns excited state lifetimes depending on the spin state of the defect.     

Robust quantum enhanced phase estimation in a multimode interferometer [corrected

By exploiting the correlation properties of ultracold atoms in a multimode interferometer, we show how quantum enhanced measurement precision can be achieved with strong robustness to particle loss. While the potential for enhanced measurement precision is limited for even moderate loss in two-mode schemes, multimode schemes can be more robust. A ring interferometer for sensing rotational motion with noninteracting fermionic atoms can realize an uncertainty scaling of 1/(N√η) for N particles with a fraction η remaining after loss, which undercuts the shot-noise limit of two-mode interferometers. A second scheme with strongly interacting bosons achieves a comparable measurement precision and improved readout.     

The sampling limit in fluorescence microscopy

Sampling in fluorescence microscopy is treated using the concept of the three-dimensional (3D) optical transfer function (OTF). The border of the OTF frequency surface defines the required minimum sampling. The shape of the OTF is derived from simple considerations and valid for far-field high numerical aperture, vector theory. Optimal regular sampling is achieved by a hexagonal grid in 2D, and corresponding hexagonal structures, body-centered cubic (bcc) and hexagonal close-packed (hcp) structures, in 3D. As compared to standard (rectilinear grid) sampling a reduction of 13.4% in 2D and 29.3% in 3D can be achieved with optimized sampling. This reduction in data size is also accompanied by an imaging speed improvement, a reduction of sample bleaching, and can lead to imaging with better signal to noise ratio.