无衍射光束的产生及其应用

近年来,随着激光技术的快速发展,相继产生了多种在远距离传输后中心光斑保持不变的无衍射光束,包括贝塞尔光束、高阶贝塞尔光束、马丢光束、高阶马丢光束、余弦光束、抛物线光束以及艾里光束.无衍射光束在激光打孔、激光精密准直、光学精密控制、光学微操控、光通信、等离子体导向、光子弹产生、光通信、自聚焦光束的合成以及非线性光学等领域中有着广泛的应用.本文介绍了各类无衍射光束的数学表达式、产生方法及对应的实验结果;就无衍射光束的特性和应用进行了归纳和讨论;并对其在未来的研究与应用前景中发挥的重要作用进行了简要总结与展望.     

Intense Bessel-like beams arising from pyramid-shaped microtips

We show both numerically and experimentally that intense, narrow, and low-divergence beams of light are produced at the apex of dielectric pyramid-shaped microtips. These beams exhibit a Bessel transverse profile but are narrower than the usual Bessel beam, allowing for a significant enhancement of the light intensity inside the beam. They are generated by axicon-like structures with submicrometric height imprinted in glass by combining optical lithography and chemical etching. The resulting beams are experimentally imaged using fluorescence microscopy, in remarkable agreement with numerical computations.     

无衍射贝塞尔光束相干的理论与实验

 分别使用两种不同底角的轴棱锥产生无衍射贝塞尔光束。理论分析了单束贝塞尔光及两束贝塞尔光相干叠加后光场的光强分布,分析了产生的局域空心光束在一个完整周期内的特性。数值模拟了光沿纵向传播时光场的横向光强分布,并给出了相关的实验。对单束贝塞尔光及两束贝塞尔光干涉后的中心光斑的大小进行了测量,测量结果与理论计算结果吻合。     

Phase-shifted Fresnel axicon

We propose an optical element: a phase-shifted Fresnel axicon for generation of multiple Bessel beams. By giving a binary phase modulation to the standard Fresnel axicon, the proposed element is generated. The phase profile of the binary phase modulation is engineered to generate two and three Bessel beams of equal intensities. This composite optical element is fabricated using electron beam direct writing. The performance of the fabricated device is evaluated using a semiconductor laser, and the generation of two and three Bessel beams is successfully demonstrated.     

轴棱锥对无衍射光束的线聚焦特性

基于汉克尔波理论和衍射积分理论详细分析了轴棱锥对无衍射光束的线聚焦特性, 提出了一种产生周期性局域空心光束的新方法, 即无衍射贝塞尔光束经过轴棱锥聚焦后产生具有塔尔博特效应的局域空心光束. 数值模拟了无衍射贝塞尔光束照射轴棱锥后, 沿传输距离变化的光强分布及一个周期内光强的演变和局域空心光束的形成过程. 设计实验系统, 由He-Ne激光经过一套光学系统后透过轴棱锥, 产生近似无衍射贝塞尔光束, 再由第二个轴棱锥对产生的无衍射贝塞尔光束进行线聚焦, 在第二个轴棱锥后面由显微镜观测到周期性局域空心光束, 并用CCD照相机拍摄了两个周期内的光斑图, 实验结果和理论分析相符合. 研究结果可用于多层面微粒的操控, 对周期性局域空心光束在光学微操控领域的应用具有重要的指导意义. 关键词： 贝塞尔光束 轴棱锥 线聚焦 局域空心光束     

像散Bessel光束自重建特性的理论和实验研究

基于菲涅耳衍射积分理论和巴比涅原理,推导出像散Bessel光束经圆形障碍物后的光强分布一般表达式.数值模拟了像散Bessel光束经圆形障碍物遮挡后光场的自重建过程,并设计相关实验进行验证,实验结果与理论模拟基本符合.结果表明：零阶像散Bessel光束经过轴上和离轴障碍物后均会发生光束重建现象.随着传输距离的增加,像散Bessel光束的外轮廓尺寸变大、中心光点阵列数增多,逐渐重建出不同于障碍物前的完整光束.并且观察到光束在重建过程中横向和纵向的重建速度并不一致,存在一定的速度差.利用螺旋相位板产生高阶像散Bessel光束,验证了高阶像散Bessel光束经障碍物遮挡后同样具有自重建特性.研究结果对像散Bessel光束在多层面粒子操纵方面的应用具有参考价值.     

Review of non-diffracting Bessel beam experiments

The theory of non-diffracting Bessel beam propagation and experimental evidence for nearly-non-diffracting Bessel beam propagation are reviewed. The experimental results are analysed to show that the observed propagation distances are characteristic of the optical systems used to transport the beams, and are not unique to the Bessel beam intensity profiles. The results indicate that, despite the innovative techniques employed to generate finite radius Bessel beam distributions, nearly-non-diffracting Bessel beam propagation has not yet been conclusively demonstrated.     

Self-action of Bessel light beams in cubic gyrotropic photorefractive crystals

We have studied conversion and interaction of a Bessel laser beam of zero order in photorefractive crystals. We have established that in a cubic gyrotropic crystal, two Bessel light beams propagate with different wave vectors and cone angles, but with identical conicity parameters. As the power in the Bessel light beam increases, we have experimentally observed a new optical effect: self-action of a Bessel light beam. We have studied the effect of external influences and the parameters of the beam itself on the process of self-refraction in photorefractive crystals. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 73, No. 4, pp. 488–493, July–August, 2006.     

Dynamic optical manipulation with a higher-order fractional bessel beam generated from a spatial light modulator

Higher-order Bessel beams have been demonstrated to have the ability to trap and rotate low- and high-index particles simultaneously [Phys. Rev. A 66, 063402 (2002)]. The rotation and trapping is caused by the presence of orbital angular momentum arising from its azimuthal phase variation (that changes at integer multiples of 2pi) and the concentric rings of the Bessel mode. We demonstrate for the first time to our knowledge a branch from the family of higher-order Bessel beams that has fractional azimuthal variation at its beam axis. This new family of laser beams has the ability to perform dynamic optical manipulation with dynamic control of a spatial light modulator. Furthermore, we take the opportunity to explore the propagation characteristics of higher-order Bessel beams for which the azimuthal phase changes at noninteger multiples of 2pi.     

瑞利粒子在贝塞尔光束中的横向受力

 为寻找捕获瑞利粒子的最佳光场,利用电磁模型推导了贝塞尔光束捕获粒子的最小半径的表达式,并数值计算了瑞利粒子在贝塞尔光束和高斯光束中所受的横向力和势阱的深度。结果表明:当激光功率为4 W时,贝塞尔光束仅能在光轴处稳定地捕获瑞利粒子;当激光功率达到6 W时,贝塞尔光束能够在光轴和次极大位置捕获瑞利粒子。在相同的激光参数条件下,高斯光束无法克服布朗运动的影响稳定地捕获瑞利粒子,贝塞尔光束更有利于捕获瑞利粒子。     

Diffraction of optical waves by nonlinearly induced cylinders

The diffraction of optical waves by transparent and opaque cylinders formed by laser beams in defocusing nonlinear media has been investigated for the first time. The wave flow around a single beam (cylinder) and wave signal percolation through the slits formed by closely spaced laser beams have been numerically modeled.     

非偏振贝塞尔高斯光束的球散射

无衍射光束球散射性质的研究目前一般采用贝塞尔光束,但是贝塞尔光束在物理上是不可实现的。贝塞尔高斯光束作为近似无衍射光束,是亥姆霍兹方程在傍轴条件下的解,并且可以用激光振荡器直接产生,但其光束宽是有限的。应用傅里叶变换,平面波谱展开和球面矢量波函数展开法,推导了非偏振贝塞尔高斯光束的球散射远场的无量纲散射函数。通过数值模拟,对非偏振的贝塞尔高斯光束与贝塞尔光束,高斯光束的球散射远场进行了比较,比较发现:当球散射体偏离光轴时,非偏振贝塞尔高斯光束跟贝塞尔光束散射远场的差异主要是散射强度的差异,但是散射极点所在的方向基本保持不变;贝塞尔高斯光束和贝塞尔光束的散射在光束圆锥角方向上比较显著,但高斯光束的前向散射比较显著。     

Generation of Bessel Beams at mm- and Sub mm-wavelengths by Binary Optical Elements

In this paper, binary optical elements (BOE’s) are designed for generating Bessel beams at mm- and sub mm- wavelengths. The design tool is to combine a genetic algorithm (GA) for global optimization with a two-dimension finite-difference time-domain (2-D FDTD) method for rigorous electromagnetic computation. The design process for converting a normally incident Gaussian beam into a Bessel beam is described in detail. Numerical results demonstrate that the designed BOE’s can not only successfully produce arbitrary order Bessel beams, but also have higher diffraction efficiencies when compared with amplitude holograms.     

经光阑衍射的高阶贝塞耳光束位相奇点演化特性

推导出了高阶贝塞耳光束通过有光阑近轴ABCD光学系统传输的解析公式,用以研究了高阶贝塞耳光束被光阑衍射位相奇点的演化特性.结果表明:高阶贝塞耳光束经光阑系统衍射后,中心光涡旋始终存在,拓扑电荷守恒,但涡旋核大小会随光阑半径、传输距离和光束阶数而变化;随光阑半径和传输距离变化,圆刃型位错会消失或产生.     

Bessel and annular beams for materials processing

Non‐Gaussian beam profiles such as Bessel or annular beams enable novel approaches to modifying materials through laser‐based processing. In this review paper, properties, generation methods and emerging applications for non‐conventional beam shapes are discussed, including Bessel, annular, and vortex beams. These intensity profiles have important implications in a number of technologically relevant areas including deep‐hole drilling, photopolymerization and nanopatterning, and introduce a new dimension for materials optimization and fundamental studies of laser‐matter interactions.     

被动方式产生近似无衍射贝塞尔光技术

无衍射光束具有中心光斑小且不随传播距离变化、自再现、产生局域空心光等特点,由于这些特殊的光束特性而在许多领域,如计量学,经典光学,非线性光学和生命科学等领域中得到广泛的应用。无衍射光束的产生与变换是目前的一个研究热点。通过衍射理论、干涉理论和几何光学方法可对无衍射光进行描述。实现无衍射贝塞尔光束的方法可分为主动式和被动式。本文主要综述地介绍了几种被动式产生近似无衍射贝塞尔光束的最新技术,通过分析其优缺点,给出了这些技术的适用范围。     

相干贝塞尔光产生具有塔尔博特效应的局域空心光束

提出一种由轴棱锥产生的贝塞尔光干涉整形得到具有自成像塔尔博特效应的近似无衍射局域空心光束的新方法。详细分析了两束相干同频率贝塞尔光的相互作用原理及其如何控制局域空心光束的空间尺寸。数值模拟了干涉叠加后光场沿传输距离变化的光强分布及一个完整周期内光强的演变和局域空心光束的形成过程,给出了相干贝塞尔光产生局域空心光束的个数及局域空心光束最大无衍射距离的表达式。     

Optical levitation by means of two horizontal laser beams: A theoretical and experimental study

Stable optical levitation of transparent solid glass spheres has been demonstrated using two horizontal TEM00 laser beams. The experimental results agree with a theoretical calculation which gives the value of the lateral force pushing the sphere towards the region of maximum light intensity and maintaining it on the axis of the beam.     

Electron acceleration using two crossed Bessel beams in vacuum

The direct acceleration of electrons by using two crossed linearly polarized Bessel beams with equal frequency and amplitude in vacuum is studied and compared with the case of single linearly polarized Bessel beam. It is found that two zeroth- and first-order Bessel beams with π-rad phase difference have a nonvanishing longitudinal electric field on the z-axis, which can be maximized under certain conditions and used to accelerate electrons. Two crossed zeroth- and first-order Bessel beams have a larger maximum longitudinal electric field on the z-axis than that of a single first-order Bessel beam, and are suited for laser electron acceleration.