热驱动法测量光阱刚度的蒙特卡罗模拟

在应用光镊测量微米粒子或生物大分子之间力学特性之前,必须对光镊的光阱刚度进行精确标定,选择精确的标定方法对测量的准确性起着决定作用。采用Monte-Carlo方法,模拟了光阱中的一个粒子在5s时间内其位移随时间变化的信号序列,模拟采样频率为105Hz。基于不同程度噪声和光阱偏移量条件下的模拟实验数据,用三种热驱动力分析法对光阱刚度进行标定。结果表明,三种方法的理想误差均小于2.5%;将粒子位移序列的坐标减去其平均值后得到新的位移序列,然后进行刚度标定,可以消除光阱偏移引入的误差;均方位移法比功率谱法和玻尔兹曼分布法具有更好的抗噪声干扰能力。     

时间飞行法测量光阱刚度的实验研究

传统的测量光阱刚度的方法如功率谱法是基于微粒的布朗运动,适用于直径范围几百纳米到几微米的微球,在几微米以上并不具有明显优势．本文发展一种时间飞行的方法测量光阱对微球的刚度．该方法是基于跟踪微粒的运动轨迹获得光阱刚度．通过比较不同功率下,不同大小以及不同材料的微球的光阱刚度和误差,结果表明时间飞行法适用于直径范围5—10μm的微球;论文中用功率谱法和均方位移法测量了5μm标准聚苯乙烯小球的光阱刚度与时间飞行法测得的结果作为对比,由于受相机采集速率的影响,所测刚度值比理想值偏高,比较而言,时间飞行法的测量结果更加接近于真实值,对于光阱刚度的快速标定有着重要意义．该方法可以应用在特殊光场分布的激光阱中测量微球的光阱刚度;在实现细胞层次的力学特性测量中它可避免使用微球作为探针,为更深层次研究细胞上的复杂单分子过程提供了一个研究手段．     

功率谱密度法标定光镊的三维光阱刚度

采用四象限探测器和功率谱密度法,搭建了一套快速标定光镊三维光阱刚度的测量系统.实验中,用四象限探测器记录微粒做受限布朗运动时的位置信息,用功率谱密度法标定光阱刚度,测得了直径0.97μm SiO2小球和直径1μm PMMA小球的光阱刚度与激光功率的关系.结果表明:对于SiO2小球,当激光功率为50~120mW时,光阱刚度与激光功率成正比;对于PMMA小球,当激光功率为80~130mW时,光阱刚度与激光功率成正比.该光镊系统可用于生物、物理等微观领域研究的高准确度测力系统.     

低频响及低采样频率下用布朗运动分析法测量光阱刚度

布朗运动法测量光阱刚度因其简便易行而成为光镊系统参数测量的一种常用的方法，但是由于在低频响或低采样频率时测量结果误差很大，所以主要用在频响及采样频率较高的情况下.将在功率谱分析及实验的基础上，讨论如何在低频响及低采样频率下，用布朗运动法测量光阱刚度. 关键词： 布朗运动 光阱刚度 光镊 功率谱     

基于自回归模型的超细颗粒动态光散射模拟

为了获取超细颗粒动态散射光模拟信号, 在分析超细颗粒动态散射光信号特性的基础上, 通过建立动态光散射随机过程的自回归(AR)模型, 利用Levison-Durbin递推算法确定模型参数, 并给出了单峰、双峰分布颗粒信号模拟的模型阶数确定方法, 从而提出了一种基于AR模型的态光散射信号模拟方法。分别对50 nm, 300 nm, 1000 nm, 50 nm与1000 nm, 100 nm与500 nm, 300 nm与1000 nm的单峰、双峰分布颗粒在模型阶数分别为1, 1, 1, 57, 28, 40时进行了模拟, 得到的模拟信号的光强自相关函数与理论值吻合, 用累积法对单峰分布颗粒反演和双指数法对双峰分布颗粒反演, 相对误差分别小于0.58%和3.7%, 因此, 单峰分布颗粒信号模拟需一阶模型, 双峰分布颗粒信号模拟粒径不同所需阶数不同。     

采用超连续谱激光的双光束光纤光阱实验

以超连续谱激光器作为捕获光源,首次提出并搭建了超连续谱双光束光纤光阱实验系统,实现了聚苯乙烯微球的捕获和操控。通过改变光纤端面间隔和调整捕获光功率的方式精确控制微球的位置,采用CCD图像分析方法实现了微球位置的精确测量。对微球受限布朗运动下的位置变化进行傅里叶变换,计算得到功率谱,与理论功率谱函数拟合后求出了其光阱刚度。结果表明,捕获光束的功率为28 mW时,光阱刚度达到1.3×10-6N/m,高于相同实验条件下单波长光纤光阱的刚度。与传统采用单色光作为捕获光源的光镊系统不同,超连续谱双光束光阱系统利用其宽谱优势,通过研究被捕获微粒的散射光谱信息可获取其尺寸、折射率等物理特征参数。     

轴向多光阱微粒捕获与实时直接观测技术

传统的光镊技术使用单个物镜同时进行光学捕获与显微成像,使得捕获与成像区域被限制在物镜焦平面附近,无法同时观察到沿光轴方向(即Z向)捕获的多个微粒.本文提出一种轴平面(XZ平面)GerchbergSaxton迭代算法来产生沿轴向分布的多光阱阵列,将轴平面成像技术与光镊结合,实现了沿轴向对二氧化硅微球的多光阱同时捕获与实时观测.通过视频分析法测量了多个二氧化硅微球在轴向光镊阵列中的布朗运动,并标定了光阱刚度.本文提出的轴向多光阱微粒捕获与实时观测技术为光学微操纵提供了一个新的观测视角和操纵方法,为生物医学、物理学等相关领域研究提供了一种新的技术手段.     

细胞光阱刚度与折射率关系理论计算

为了探讨用光镊技术进行细胞折射率的测量方法,用几何光线理论对可作为米氏粒子模型的生物细胞(半径a=10μm,折射率n=1.35~1.70),在单光束梯度力光阱[激光波长λ=780 nm,功率P=6 mW,焦斑半径w(0)=0.6μm、0.8μm和1.0μm]中的轴向光阱刚度与细胞折射率关系进行了数值计算。结果表明,光阱刚度随折射率的变化关系与三次多项式曲线拟合得较好;用测量光阱刚度计算细胞的折射率时,需要用折射率已知的四种标准粒子对三次多项式曲线进行标定。     

激光功率对光镊光阱刚度标定的影响

光阱刚度是描述光镊对粒子进行操控的重要力学指标,实际使用过程中会受到激光功率的影响。采用均方位移法及玻尔兹曼统计法对搭建的光镊系统进行光阱刚度的标定,利用图像采集方法进行微粒位移的测量,并对两种方法的测量结果进行了比较。为了提高光阱刚度的标定结果的准确性,分析了光路放大倍数、温度变化对最后标定结果的精度影响。结果表明,两种方法进行标定的结果基本相同;光阱刚度在低激光功率（1 mW ~20 mW）范围时随功率近似线性增加,在高功率情况下（25 mW~60 mW）随功率增加不再线性增加,而是趋于一个饱和值。此外,光路放大倍数标定的精确性对标定的精度影响较大,10%的相对误差时,标定结果产生23%的变化,温度对标定的精度影响较小,0.1 ℃的温度变化导致标定结果0.034%的变化。     

不同偏振态光镊三维光阱刚度的比较研究

为了研究激光偏振态对光阱刚度的影响,本文比较了四种不同偏振态光场(方位角偏振光、径向偏振光、线偏振光、圆偏振光)捕获不同尺寸SiO_2微粒的三维光阱刚度.研究结果表明:当SiO_2微粒的尺寸和激光波长相近时,圆偏振光和线偏振光的三维光阱刚度大于径向偏振光和方位角偏振光的三维光阱刚度;而随着SiO_2微粒尺寸的增加,方位角偏振光和径向偏振光的三维光阱刚度大于圆偏振光和线偏振光的三维光阱刚度.此外,实验也表明:使用浸油物镜捕获微粒时,物镜匹配油的折射率和水的折射率不一致引起的球差,会降低系统对物镜数值孔径的利用.通过这些研究工作,可以为不同偏振态光场的测力研究提供一定的指导和参考.     

Monte-Carlo simulation of optical trap stiffness measurement

The high precision calibration of optical trap stiffness is the foundation of the weak force measurement in an optical tweezers system. And the accuracy of the trap stiffness measurement is limited by the bandwidth of the acquisition system. In this article, such an influence is analyzed and discussed. The stiffness measuring process using an acquisition system with a finite acquisition time is numerically simulated by using Monte-Carlo method. Then the simulated results are analyzed by thermal motion analysis method to deduce the trap stiffness for different trapping system and for measuring systems with different acquisition time. As a comparison the power spectrum analysis method is used to study the thermal motion of the bead and to compute the trap stiffness for the same acquisition system, from which it is concluded that the bandwidth of the acquisition system is determined by its acquisition time, not the sampling frequency. The influence of the finite acquisition time or the limited bandwidth on the trap stiffness measurement is discussed. The numerical simulation shows that the measured position, which is here the average position within the acquisition time, shifts to the trap center due to the trapping force, which gives an alternative interpretation for the deviation of the measured stiffness from the true trap stiffness.     

Monte-Carlo simulation of effective stiffness of time-sharing optical tweezers

<正>The Brownian motion of a polystyrene bead trapped in a time-sharing optical tweezers(TSOT) is numerically simulated by adopting Monte-Carlo technique.By analyzing the Brownian motion signal,the effective stiffness of a TSOT is acquired at different switching frequencies.Simulation results confirm that for a specific laser power and duty ratio,the effective stiffness varies with the frequency at low frequency range,while at high frequency range it keeps constant.Our results reveal that the switching frequency can be used to control the stability of time-sharing optical tweezers in a range.     

Trap position control in the vicinity of reflecting surfaces in optical tweezers

Shift of the trap position from the laser beam waist of optical tweezers is studied experimentally in the presence of a reflecting surface in the vicinity of the focal plane. A standing wave is formed owing to the interference of waves forming the waist and reflected from the surface. The standing wave is shown to affect significantly the resulting trap position. The distance between the surface and the stable optical trap as a function of the trapped particle size is studied numerically. A new method to stabilize the position of the microparticle relative to the surface is proposed. The localization accuracy is determined by the Brownian fluctuations in optical tweezers and is about 10 nm for effective trap stiffness of 4 × 10^?5 N/m.     

光阱中布朗粒子动力学分析

通过对光阱中的布朗粒子进行动力学方程求解,由解的结果分析得到观测系统的性能要求．结果表明：光阱中布朗颗粒服从Boltzmann分布;对其运动的观测需要纳米量级的空间分辨率和毫秒量级的时间分辨率．     

双峰分布的超细颗粒动态光散射信号模拟及精度分析

为获取双峰分布超细颗粒的动态光散射模拟信号,通过建立动态光散射随机过程的AR模型,利用修正的Levison Durbin递推算法确定模型参数和阶数的方法模拟光散射信号.分别对10 nm与90 nm,200 nm与1 000 nm双峰分布颗粒的动态光散射信号进行模拟,得到的模拟信号光强自相关函数与理论值吻合,用双指数法对颗粒粒径反演,相对误差小于3.55%.通过分析模型阶数、采样时间、采样频率、模拟数据长度等参数对模拟精度的影响,得出双峰分布颗粒光散射信号的模拟精度与各参数的关系:在低于阈值阶数时,模型阶数选择对精度影响大,模型阶数越高,信号模拟的精度越高,高于阈值阶数时,模型阶数选择对精度影响不大,可选阈值阶数模型模拟信号.选定一定的采样时间,采样频率越高,模拟数据长度越长,模拟精度越高.     

EFFECT OF NUCLEAR VISCOSITY ON FISSION PROCESS

According to the fission diffusion model,the deformation motion of fission nucleues is regarded as a diffusion process of quasi-Brownian particles under fission potential,Through simulating such Brownian motion in two dimensional phase space by Monte-Carlo method,the effect of nuclear viscosity on Brownian particle diffusion is studied,Dynamical quantities,suchas fission rate,kinetic energy distribution on scission,and so on are numerally calculated for various viscosity coefficients,The results are reasonable in physics,This method can be easily extended to deal with multi-dimensional diffusion problems.     

Theoretical analysis of ferromagnetic microparticles in streaming liquid under the influence of external magnetic forces

The microsphere based detoxification system (MDS) is designed for high specific toxin removal in extracorporeal blood purification using functionalized microparticles. A thin wall hollow fiber membrane filter separates the microparticle-plasma suspension from the bloodstream. For patient safety, it is necessary to have a safety system to detect membrane ruptures that could lead to the release of microparticles into the bloodstream. A non-invasive optical detection system including a magnetic trap is developed to monitor the extracorporeal venous bloodstream for the presence of released microparticles. For detection, fluorescence-labeled ferromagnetic beads are suspended together with adsorbent particles in the MDS circuit. In case of a membrane rupture, the labeled particles would be released into the venous bloodstream and partly captured by the magnetic trap of the detector.A physical model based on fluidic, gravitational and magnetic forces was developed to simulate the motion and sedimentation of ferromagnetic particles in a magnetic trap. In detailed simulation runs, the concentrations of accumulated particles under different applied magnetic fields within the magnetic trap are shown. The simulation results are qualitatively compared with laboratory experiments and show excellent accordance. Additionally, the sensitivity of the particle detection system is proofed in a MDS laboratory experiment by simulation of a membrane rupture.     

Trapping colloidal dielectric microparticles with overlapping evanescent optical waves

We experimentally demonstrate the creation of a stable surface trap for colloidal microparticles in a high-intensity evanescent optical field that is produced by total internal reflection of two counter-propagating and mutually incoherent laser beams. While the particles confined in the trap undergo fast Brownian motion, they never “stick” to the surface – not even at high optical powers – but rather levitate above the surface. If many particles are stored in the trap, they tend to form a well ordered self-organized array. We apply a numerical model based on the general energy-momentum tensor formalism to evaluate the overall optical force acting on a trapped particle. The optical-field parameters are calculated using the finite element method. The simulations show that for small particles a sharp repulsive potential at the surface – required for the levitation – can have neither optical nor light-induced thermal origin. Among the possible non-optical forces, electrostatic double-layer repulsion is often considered to be the origin of the levitation. We find, however, that the experimentally observed levitation of small particles in a high-intensity evanescent-wave trap cannot be explained by this effect.     

Power spectral density of self-mixing signals from a flowing Brownian motion system

An analytical expression for the power spectral density of the self-mixing signals from a flowing Brownian motion system irradiated by a focused Gaussian field is derived from the time autocorrelation function of the signals. The power spectral density is composed of two Voigt functions. An improved series summation method (SSM) is proposed to calculate the Voigt function. The characteristics of the power spectral density are analyzed according to the numerical results. The power spectral density can hopefully be used for measuring the flow velocity and the particle size.