Influence of the Measurement Volume on the Phase Error in Phase Doppler Anemometry. Part 1: Reflective mode operation

In phase Doppler anemometry (PDA), phase difference errors are caused by the Gaussian intensity distribution of the laser beam and the curvature of the phase fronts outside of the beam waist. This results in erroneous particle sizes. Based on a physical analysis by geometrical optics [1], this phase difference error is evaluated for reflected mode operation (Part I) and for refracted mode operation (Part II). By varying the particle trajectories statistically, the error in determining the particle size and the mass flow can be simulated. By the method described the error in the measured phase difference can easily be estimated.     

高次方涡旋光束经大数值孔径透镜的聚焦特性

为了获得多种类型的波长量级聚焦光斑,研究了一种新型涡旋光束,高次方涡旋光束经过大数值孔径透镜的聚焦。基于矢量德拜积分公式,理论上研究了线偏振的高次方涡旋光束经过大数值孔径透镜的聚焦特性。研究了涡旋光束的拓扑荷数和幂次方数对聚焦平面光强和电场x分量的相位分布的影响。研究结果表明,通过控制涡旋光束的拓扑荷数和幂次方数可以产生不同类型的聚焦光强分布,例如尺寸约为2个波长大小的实心和空心型聚焦光斑。此外,与普通的涡旋光束聚焦不同,高次方涡旋光束聚焦后的奇点并不在焦点处。这些特殊的聚焦光斑有望在微粒的操控等领域中得到应用。     

高功率激光传输过程中散射点对光束质量的影响

为了研究高功率激光传输过程中不透明颗粒引起的光束调制,通过分析这些不透明颗粒的形状和分布特点,建立了位置呈随机分布的高斯状散射点模型,从光束的衍射理论和干涉叠加理论出发,得到该模型下散射点对传输光束质量影响的解析式。数值分析了高斯状散射点的大小、密度、散射面积比及其传输距离对输出光束的近场分布、位相分布和光束透过率的影响,结果显示亚毫米量级散射点的衍射效应引起最大调制可达1．4,光学元件散射面积比小于0．003时才能满足元件透过率大于99．5％的需求。该结果可用于评价高功率激光装置光学元件的加工状况,并对光学元件加工要求和激光装置的洁净度要求有指导意义。     

连续位相板均方根梯度对焦斑匀滑特性的影响

为满足惯性约束聚变(ICF)系统中,对焦斑均匀辐照的条件,研究了连续位相板(CPP)面形特征对远场光斑质量的影响.从波动光学和几何光学两个不同的角度建立分析模型,并利用均方根梯度这一参数将其统一起来.利用所建立的分析模型,通过数值计算研究了CPP面形均方根梯度对低频畸变光束的匀滑效果.结果表明:随着CPP均方根梯度增大,匀滑后的远场焦斑半径增大;光束顶部不均匀性先很快减小,再缓慢降低,最后趋于不变,可见CPP对光束的匀滑效果明显;束匀滑过程对能量利用率的影响先几乎不变,然后逐渐减小.当CPP的相关长度不变,均方根梯度在0.2-0.8 wave/mm范围内时,光斑尺寸、光束顶部不均匀性及能量利用率都在较好的范围. 关键词： 连续位相板 均方根梯度 光束匀滑 聚焦光斑     

轴棱锥产生无衍射光束自再现特性的几何光学分析

由几何光学方法分析轴棱锥产生无衍射光束自再现特性,很好地解释了无衍射光束自再现的形成原理.在菲涅耳近似条件下,利用菲涅耳衍射理论可以对光传输进行很好地描述;而光束经过障碍物后的很小距离内,菲涅耳衍射近似条件已不满足,衍射理论不再适合描述光束的传输特性,这时可以利用几何光学分析光束传输特性.首先从几何光学角度对轴棱锥产生无衍射光束的自再现特性进行了详细的描述,并对光束传输进行仿真,最后通过实验验证轴棱锥产生无衍射光束的自再现特性,实验结果与理论分析相符合. 关键词： 无衍射光束 几何光学 轴棱锥 自再现     

High sensitivity adaptive optics control of laser beam based on interferometric phase-front detection

We present an upgrade of an adaptive optics (AO) system for the control of geometrical fluctuations in a laser beam, based on the interferometric detection of phase front. Acoustic isolation and suitable design of optical system make the present system very sensitive to laser beam geometrical fluctuations and can be an interesting step toward the active correction of the small perturbations of the input beam of gravitational wave interferometric detectors.     

高斯光束中吸收双层球形微粒的横向光俘获

为了研究吸收双层球形微粒的横向光俘获,基于几何光学模型提出了双层带吸收球形微粒的光俘获模型,对TEM₀₀模式高斯光束照射下外层有光吸收的双层电介质球形微粒受到的横向光俘获力进行了数值模拟,取得了光俘获力特性的一系列结果.结果显示,双层球形微粒的外层吸收系数对包括稳态俘获位置,峰值强度,稳态俘获的刚度等光俘获特性有很大影响.此外,内外径的比率对吸收双层球形微粒的光俘获特性也有调制性的影响.在一定条件下,带吸收的双层球形微粒可以被俘获在光轴上,也可能被俘获在中心在光轴上的圆环上. 关键词： 光俘获 几何光学模型 高斯光束 吸收双层球     

Analysis of Optical Disk Readout Signal Deterioration Caused by Dust on the Substrate

A noise power spectrum estimation method is presented for optical disk readout signal influenced by dust on the substrate. The noise due to dust has been modeled using geometrical optics and assuming the Poisson distribution for the dust particles. The noise power spectrum consists of two components: one comes from the effect of individual dust particles passing across the light beam, and the other comes from the effect of overlapping area of a particle and the inverted image of another particle. The feasibility of a thin-substrate optical disk was studied using this model. Dust will not have a serious effect on the readout signal when a 0.6 mm-thick substrate is used in place of the conventional 1.2 mm-thick substrate.     

DESIGN OF DIFFRACTIVE-PHASE AXICON ILLUMINATED BY A GAUSSIAN-PROFILE BEAM

The diffractive-phase axicon can convert the Gaussian-profile beam into axial uniform intensity distribution with long focal depth and high lateral resolution. Two types of phase-retardation functions for the nonuniform-illuminating axicon are derived in terms of the ray tracing and the geometrical law of energy conservation. Based on the general theory of the amplitude-phase retrieval in optical system and the iteration algorithm, the optimization design of the phase distribution of the diffractive-phase axicon can be achieved. The simulation celculations show that the new approach may successfully offer the design of the desired diffractive-phase axicon with long focal depth and high lateral resolution. A comparison of the performances of the holographic axicon with the phase-retardation functions from the geometrical optics prediction and the diffractive-phase axicon designed by the new approach is also presented.     

The Phase Doppler Method: Analysis,performance evaluations,and applications

This review of the recent developments in the phase Doppler method provides information on the advances made to the method and delineates some potential error sources. Methods used to eliminate these potential error sources are also discussed. It is shown through comparison to the Lorenz-Mie theory and the GLMT that the geometrical optics theory offers a reliable and efficient computational tool for the analysis of the light scattering with the phase Doppler method. The geometrical optics theory was then used to optimize the measurement parameters in the system designs and a significant reduction in the measurement uncertainty was realized. Limitations on the particle concentrations in which the instrument will operate reliably are also addressed. A brief discussion of the instrumentation and, in particular, the signal processing is presented. The advantages in using the Fourier transform approach are discussed. As a demonstration of the capabilities of the instrument, several performance tests were reviewed and examples of the application to spray combustion and turbulent dispersion of particles are given.     

球壳激光窗口附加相移的分析和计算

分析了球壳激光窗口附加相移产生的原因 :窗口本身光路长度不等、窗口材料的热和弹光效应引起的折射率和应变分布不均。用差分法计算了光波阵面附加相移的分布 ,结果表明 ,窗口参数的选择对光束位相分布影响较大。考虑热和弹光效应 ,依据远场光斑中心峰值的大小 ,得到较佳的窗口参数 ,减小了附加相移对光束质量的影响。     

Mitigation of Diffraction Fringe in Quasi-Far Field Pattern Using an Edge-Shaped Plate

A new concept is developed for improving the laser intensity distribution in quasi-far field using geometrical optics of a continuous phase (so-called edge-shaped plate). The diffraction fringe on a quasi-far field beam pattern of a well collimated He-Ne laser beam 5 cm in diameter is mitigated by the insertion of an edge-shaped plate with a super-Gaussian (n=40) surface profile. A diffraction code using Fresnel-Kirchhoff diffraction integration was developed to calculate diffraction patterns of aspherical optical elements. The measured beam profile is in good agreement with the calculated beam pattern.     

提高能量密度的超衍射极限激光光束相位补偿技术

定义了激光光束衍射远场光斑压缩前后的能量比以及能量密度比来衡量超衍射极限激光光束的质量。通过利用反向传递算法设计了合适的补偿相位板,不但对准直放大的单一横模激光光束进行小于光学衍射极限的发散度的压缩,同时又保证光束能量集中于压缩后的远场衍射主瓣中,使压缩后的远场衍射光斑的能量密度增加。给出了相应的实例。这一结论不但解决了光学超分辨中光束压缩与能量损失不可避免这一矛盾,而且为发散度小且能量密度高的超衍射极限激光光束的实验工作以及该类光束的实际应用提供了理论基础。     

新型锥透镜产生局域空心光束

首次提出产生局域空心光束(Bottle beam)的另一类新型锥透镜模型.讨论了凹凸两种模型,分别是在传统轴棱锥的底部磨削和胶合圆台结构形成.研究结果表明平面波正入射新型凹锥透镜可产生单个Bottle beam,正入射新型凸锥透镜可形成具有周期性的Bottle beam.通过几何光学分析了产生Bottle beam的原理,计算了Bottle beam的相关参数.由衍射积分理论分析和模拟了新型锥透镜后的光强分布特性,所得分析结果与几何光学分析基本符合. 关键词： 新型锥透镜 Bottle beam 轴棱锥 Bessel光     

晶体几何结构及入射角度对自抽运相位共轭特性影响的研究

基于两块不同尺寸的Cu∶KNSBN晶体自抽运相位共轭实验,研究了光折变晶体的几何结构及入射角度对自抽运相位共轭特性的影响,得到在入射位置不变化的情况下,随着入射角度的变化相位共轭光输出有最大值,几何结构不同对应的最大值不同。并从理论上分析了晶体结构及入射角度在双作用区自抽运相位共轭机理中的作用,指出几何结构、入射角度与自抽运光通道、耦合系数的关系,及在自抽运相位共轭效应中存在一个最佳入射角度,这时相位共轭光输出最大。最后,对理论上的相位共轭反射率公式进行了修正。对自抽运相位共轭实际应用中,选择最佳入射角度提供了理论和实验依据。     

The origin of the Gouy phase anomaly and its generalization to astigmatic wavefields

One of the most poorly understood subjects in physical optics is the origin of the Gouy phase (sometimes called “the phase anomaly near focus”). This is evident from the large number of publications on the subject, many of which attribute it to quite different causes. In this paper we show that the Gouy phase anomaly can be clearly understood from elementary properties of normal congruences of light rays and from the relationship between geometrical optics and physical optics. We also show that the Gouy phase anomaly may be regarded as a degenerate case of a rapid π/2 phase change that is found to occur at each focal line of an astigmatic pencil of rays. The intensity distribution in the region of the phase changes is also presented. Furthermore, symmetry relations for both the phase anomaly and the intensity distribution are derived.     

Characteristics of the angular intensity distribution of the multiphoton fluorescence excited in spherical drops

Angular distribution of spontaneous fluorescence excited by femtosecond laser radiation inside of a spherical microparticle is considered. The optical field distribution inside the particle is investigated for multiphoton excitation of the process. The location and effective volume of fluorescence sources radiating inside the particle are calculated numerically as functions of the particle radius in the case of one-, two-, and three-photon fluorescence. Within the framework of the geometrical optics approximation, an expression for the ratio of the average fluorescence brightness values for the forward and backward hemispheres of the particle is derived. It is demonstrated that asymmetry arises in the angular spontaneous fluorescence distribution in the forward/backward directions when the fluorescence source is localized near the shadowed hemisphere of the particle. The asymmetry becomes more pronounced with increasing order of the multiphoton process. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 19–25, December, 2007.     

On focal shift and phase Fresnel lens

A physical interpretation of the focal shift is given based on geometrical optics. The results of an analytical study of the focal shift depending on the Fresnel numbers are presented. The effect of the aperture diameter and the width of the central zone of the phase Fresnel lens on the distribution of the light intensity along the axis upon illumination by a convergent light beam is analyzed.     

Coherent Scattering by Multiple Particles in Phase Doppler Interferometry

A theoretical model has been developed for studying the response of the phase Doppler interferometer when multiple particles are simultaneously present within the measurement probe volume. The developed model incorporates the geometrical optics theory for describing the coherent interaction between the scattered light signals of multiple particles, eachhaving different size, velocity, trajectory, and arrival time. The resulting Doppler signal is processed by a theoretical signal processor which can simulate the performance characteristic of different signal processing schemes that are widely used in phase Doppler interferometry, namely, zero-crossing counter, covariance, autocorrelation and DFT parocessors. The application of the developed model for studying the coherent scattering by two particles has been specifically addressed in this paper. It has been shown that a DFT processor can be used to simultaneously measure the size and velocity of the two particles in most instances. However, for more than two particles, the signal processing scheme becomes more complex because of a quadratic increase in the beat frequency components.     

General design basis for a final optics assembly to decrease filamentary damage

The high-power laser beam in the final optics assembly of high-power laser facilities is often modulated by contamination particles, which may cause local high light intensity, thereby increasing the filamentary damage probability for optical components. To study the general design basis for a final optics assembly to decrease the risk of filamentary damage,different-sized contamination particles deposited on a component surface are simulated to modulate a 351-nm laser beam based on the optical transmission theory, and the corresponding simulation results are analyzed statistically in terms of the propagation characteristic and the light field intensity distribution of the modulated laser beam. The statistical results show that component thickness and distance between components can to some extent be optimized to reduce the appearance of local high light intensity, and the general design basis of component thickness and arrangement are given for different control levels of particle sizes. Moreover, the statistical results can also predict the laser beam quality approximately under the existing optics design and environmental cleanliness. The optimized design for final optics assembly based on environmental cleanliness level is useful to prolong the lifetime of optics and enhance the output power of high-power laser facilities.