等衍射超短脉冲厄米高斯光束在自由空间中的传输及其时空耦合效应

从超短脉冲光束的傍轴传输方程出发,得出了描述任意脉冲形式驱动的等衍射超短脉冲厄米高斯光束在自由空间中的解析表达式. 并通过例子研究了超短脉冲厄米高斯光束的传输性质. 结果表明：在传输过程中,由于群速度的空间分布不均匀性,会导致超短脉冲光束的脉冲时间延迟,并进而导致了在脉冲不同位置处光束横向分布严重偏离了厄米高斯函数. 另外,在传输过程中,发现不同阶数的脉冲厄米高斯光束会发生不同次数的极化反转. 并用脉冲光束的群-相速度差对这一现象进行了解释. 关键词： 超短脉冲 厄米高斯光束     

脉冲厄米高斯光束的载波相位分析

采用复q参量法对脉冲厄米高斯光束在自由空间中的传输进行了分析.在振幅O阶和位相一阶近似条件下,得到其传播过程中载波位相近似公式.运用数值方法和近似公式进行对比研究,发现在脉宽大于5 fs或在远场情况下,两者符合较好.采用近似办法,分别研究了厄米函数阶次、束宽与位置对载波相位的影响.研究表明,在光轴上远场,载波相位趋近于-(m+n+1)π/2,其变化快慢与厄米函数阶次(m+n+1)成正比;束腰宽度越大,则载波相位变化越慢;另外,离光轴距离越远,其导致的载波相位越大,且最大位置都出现在z=Z_R(ω_0)/3处.     

脉冲厄米高斯光束的载波相位分析*

采用复q参量法对脉冲厄米高斯光束在自由空间中的传输进行了分析.在振幅0阶和位相一阶近似条件下,得到其传播过程中载波位相近似公式.运用数值方法和近似公式进行对比研究,发现在脉宽大于5 fs或在远场情况下,两者符合较好.采用近似办法,分别研究了厄米函数阶次、束宽与位置对载波相位的影响.研究表明,在光轴上远场,载波相位趋近于－m+n+1π/2,其变化快慢与厄米函数阶次m+n+1成正比|束腰宽度越大,则载波相位变化越慢|另外,离光轴距离越远,其导致的载波相位越大,且最大位置都出现在z=ZRω0/3处.     

强非局域正交偏振双厄米高斯光束的传输特性

依据非局域非线性介质中双光束传输时遵循的非局域非线性薛定谔耦合方程,在强非局域情形下,通过把响应函数作泰勒展开近似取到二阶,运用变分法求出了正交偏振、中心重合的双厄米高斯光束在强非局域介质中传输时各参量演化规律和一个临界功率,并运用分步傅里叶算法数值模拟出了束宽和相位的演化规律。当两光束以临界功率入射时,得到了正交偏振、中心重合的双厄米高斯空间光孤子及其大相移演化规律。当两光束以总临界功率入射,但两束光的入射功率不等时,光束可以形成呼吸子,但随着阶数的增加呼吸子将越来越不稳定。对于各阶呼吸子,功率大的束宽都作周期性压缩振荡变化,功率小的束宽都作周期性展宽振荡变化,且两呼吸子中功率大的相移随传输距离增加更快。在厄米高斯光束阶数小于5时,变分解得到的结果与数值解吻合较好。     

光学系统像差与光场干涉对激光参量测量精度的影响

研究了采用面阵CCD探测器测量光束参量的技术问题,研制了一套高精度激光参量测量系统,对其光学系统像差与光场干涉原因进行了理论分析,实验测量了连续抽运1064nm固体模式发生器产生的基模厄米高斯光束,分析对比了其输出光束带有干涉条纹时对测量精度的影响,对光学系统的设计提出了具体技术要求,为同类装置的研制提供了参考依据。     

非局域克尔介质中厄米高斯光束传输的变分研究

在非局域非线性克尔介质中,通过对介质实对称响应函数的泰勒展开,简化了非局域非线性薛定谔方程所对应的Lagrange密度,进而利用变分法对光束的传输问题进行了分析.求出试探解各个参量的演化方程并得到了自聚焦介质中的厄米高斯型光束的精确解析解,当输入功率达到临界功率时,即形成高阶空间光孤子(厄米高斯孤子),其最低阶(基模光孤子)就是高斯孤子.通过数值模拟发现解析解与数值解符合得很好. 关键词： 非局域克尔介质 变分法 厄米高斯光束 空间光孤子     

自加速类贝塞尔-厄米-高斯光束的理论和实验研究

空间相位调制一直是设计新型自加速光束的重要方法.参照类贝塞尔光束产生的思路,从理论上提出了一种新型的自加速无衍射类贝塞尔-厄米-高斯光束,并从数值模拟和实验两个方面研究此光束沿不同轨道的演化.理论上通过对厄米-高斯光束进行相位调制,产生了不同模式的自加速类贝塞尔-厄米-高斯光束.采用分步傅里叶算法模拟了(0,1),(1,0),(1,1)和(1,2)阶类贝塞尔-厄米-高斯光束沿预设轨道的传输过程.采用计算全息和空间光调制技术在实验中观察了类贝塞尔-厄米-高斯光束沿预设轨道的传输,例如抛物、双曲、双曲正割和三维轨道.实验观察与理论结果符合得很好.实验验证了不同阶类贝塞尔-厄米-高斯光束的奇特光斑结构,验证了光束的非衍射特性及传输轨道的可控性,且理论模拟验证了光束的自修复特性.作为此前研究的类贝塞尔光束的一般形式,本文所得到的光束可用于构造出更加新型实用的光束.     

超短脉冲复宗量厄米高斯光束

从超短高斯脉冲光束出发,根据复宗量厄米函数的性质,用理论解析推导的方法,给出了一组新的超短脉冲光束的解析解,称为超短复宗量厄米高斯脉冲光束。此脉冲光束解的每个频率分量都是复宗量厄米高斯光束,时间脉冲的形状是任意的,具有相同的衍射距离参量,并且可以描述短于一个光学周期的超短脉冲。对这种超短脉冲光束及其在自由空间中的传输过程进行了较为细致的研究,分析了超短复宗量厄米高斯脉冲光束的轴上光强、光强的横向分布、等衍射性质、脉冲极性反转、脉冲延迟等基本性质。讨论了引入缓变包络近似后出现的时空奇异性。     

基于高阶厄米高斯模倾角测量

本文主要对高阶厄米高斯模式的倾角测量进行了理论分析,提出了利用高阶厄米高斯模式可以进一步提高倾角测量的方案,并对不同模式进行倾角测量的精度进行了对比。计算结果表明,采用的模式的阶数越高,倾角测量的精度越高,这一结果为进一步提高倾角测量实验提供理论依据。     

干涉条纹相位锁定系统分析及其控制

干涉条纹的相位变化与干涉条纹中某一固定点的光强密切相关,基于这一原理,通过对干涉场光强分析,提出并设计了一种用于干涉条纹相位锁定的控制系统.光电探测器检测干涉条纹中固定目标点的光强,并以该光强电压作为反馈控制信号,利用声光调制器对干涉系统中两束高斯光束中的一束进行实时频率调制,将光强电压控制在一个固定值,实现干涉条纹的相位锁定.构建了条纹锁定控制系统控制对象的理论模型,通过实验进行了验证,并基于该模型的特点设计了条纹锁定控制器.实验结果表明:在400Hz的控制频率下,干涉条纹相位漂移不超过±0.04个条纹周期,满足干涉光刻的曝光需求.     

激光光场的大行程相位锁定及控制系统

提出了一种实现大行程飞秒激光脉冲对相位控制的方法。其设计思想是:在迈克耳孙干涉仪中,利用改变激光偏振态的方法改变输出两光束的光程差因子。在对He-Ne激光输出的两束光实现相位锁定的基础上,进而提出了一种可对于超短激光双脉冲相对相位差实现超大行程控制的方法。对He-Ne激光的动态相位锁定、以及飞秒激光脉冲对的相对相位差控制分别作了实验验证。对He-Ne激光的静态相位锁定结果表明干涉仪两臂光程差可以控制在纳米精度;而飞秒激光脉冲测量自相关曲线与理论拟合结果非常接近,经傅里叶变换可得到较好的单峰谱图。该系统能够在实验范围中几乎无行程限制地实现飞秒激光脉冲对的相对相位动态稳定控制。     

Wavelength-Tunable Laser-Diode Interferometer

Laser diodes (LDs) have been applied to a phase-measuring interferometer through the wavelength tunability of LDs by controlling their currents. Laser-diode interferometers based on a heterodyne technique are reviewed. A two-wavelength laser-diode interferometer is demonstrated with current control of dual LDs in opposite directions. A synthetic wavelength makes it possible to extend the range of interferometric measurements. The wavelength is controlled by the laser injection current and is stepwise or rampwise changed to introduce a time-varying phase difference between the two beams of an interferometer with unbalanced optical path lengths. The optical output is demodulated with a phase-extraction algorithm. Systematic phase errors caused by the LD-power variation and by the difference between the beat frequency and ramp frequency are analyzed. A feedback interferometer with electronics is used to eliminate the phase error by locking the interferometer on a preset phase. Typical experimental results are shown.     

Interferometric generation of dark spatial solitons in a photorefractive Bi12TiO20 crystal

We present an interferometric way to generate dark spatial solitons by propagating two coherent beams in a photorefractive Bi₁₂TiO₂₀ crystal under application of an external electric field. Our results shown that the initial width, initial separation, and relative phase between the beams allow to control the type of dark soliton generated.     

Effect of mutual-injection ways on phase locking of arrays of two mutually injected fiber lasers: theoretical investigation

The effect of mutual-injection ways on phase locking of arrays of two mutually injected fiber lasers is studied theoretically. The phase-locked states of arrays with different ways of mutual injection are given analytically. It is found that different ways of mutual injection will result in different phase-locked states. The relationships between phase locking and ways of mutual injection are also discussed. The results indicate that the unconditionally phase-locked states can only be formed at the reflectors (i.e., fiber Bragg gratings [FBGs] or output faces) linking directly with the couplers. It is also found that only some of these arrays can make two output laser beams phase-locked unconditionally, while the other arrays can only make two output laser beams phase-locked with some conditions satisfied.     

基于公共环形腔耦合的光纤激光器相干合成技术

 为提高光纤激光器无源自调整相干合成阵列的效率、稳定性和可扩展性,提出了基于公共光纤环形腔耦合与单模光纤滤波的光纤激光器相干合成方案。将多个2×2的光纤耦合器分别插入各单元激光器的谐振腔,利用耦合器余下的端口,两两相连构成公共环形耦合腔。采用单模光纤滤波技术,提高了各输出激光束之间相位锁定的稳定性。利用该方案在实验上实现了三路光纤激光器的被动锁相输出,实验测得的远场干涉光斑、输出功率及光谱均表明该方案适于构建性能较好的光纤激光器相干合成阵列。     

Ultrasensitive optical measurement of thermal and quantum noises

We have developed an experiment of ultrasensitive interferometric measurement of small displacements based on a high-finesse Fabry-Perot cavity. We have observed the internal thermal noise of mirrors and fully characterized their acoustics modes with a sensitivity of 3 × 10⁻²⁰ m/Hz^1/2. This unique sensitivity is a step towards the first observation of the radiation pressure effects and the resulting standard quantum limit in interferometric measurements. Our experiment may become a powerful facility to test quantum noise reduction schemes such as the use of squeezed light or quantum locking of mirrors. As a first result, we present the observation of a cancellation of radiation pressure effects in our cavity. This back-action noise cancellation was first proposed within the framework of gravitational-wave detection with dual resonators, and may drastically improve the sensitivity of such measurements. The text was submitted by the authors in English.     

Talbot外腔锁相相位补偿元件的理论计算

 在菲涅耳衍射公式和模耦合理论的基础上，对有相位补偿的 Talbot外腔锁相在腔内场的分布进行了数值计算。计算结果表明：理想的相位补偿元件模式选择镜能够消除由于边缘效应引起的近场幅度不均匀，而且同相模的衍射损耗非常小，能有效地起到选择同相模的作用。实用的相位补偿元件相位型光栅对近场的幅度没有影响，也能够明显地减小同相模的衍射损耗，起到选择同相模的作用。     

拉盖尔-高斯模叠加而成的部分相干光的相干涡旋

对Bogatyryova等人近来提出的一种可分离位相的部分相干光的相干涡旋作了详细研究.这类新的光束由相同角向指数的拉盖尔-高斯(LG)模非相干叠加而成.研究表明，叠加LG模式的模指数，权重因子和参考点位置的选择都会影响圆刃型位错出现的位置，使得涡旋消失或出现多个相干涡旋.而且，LG模叠加而成的位相不可分离的部分相干光也存在相干涡旋. 关键词： 奇点光学 一类新的部分相干光束 相干涡旋 圆刃型位错     

Common-path phase-shifting lensless holographic microscopy

We present an approach capable of high-NA imaging in a lensless digital in-line holographic microscopy layout even outside the Gabor's regime. The method is based on spatial multiplexing at the sample plane, allowing a common-path interferometric architecture, where two interferometric beams are generated by a spatial light modulator (SLM) prior to illuminating the sample. The SLM allows phase-shifting interferometry by phase modulation of the SLM diffracted beam. After proper digital processing, the complex amplitude distribution of the diffracted object wavefront is recovered and numerically propagated to image the sample. Experimental results are reported that validate the proposed method.     

The influence of misaligned holophote of the axisymmetric-fold-combination CO2 laser on phase locking

Under the condition of ideal phase locking, output beams with excellent coherence from improved axisymmetric-fold-combination (ASFC) CO₂ laser can be obtained. Unfortunately, misalignments are inevitable. The influence of the misalignment of holophote of fold cavity on phase locking is analyzed, and the light intensity distributions are given by numerical simulation. The conclusion is demonstrated that the method of phase locking of the CO₂ laser is fully feasible under the conditions of the ideal and the misaligned. The results have shown that the effect of phase locking is still excellent when the misalignment angle is in the range of tolerance.