Calculation of the vectorial field distribution of an axicon illuminated by a linearly polarized Guassian beam

An analytical expression describing the vectorial field distribution of Gaussian light beams diffracted by an axicon is obtained. The theoretical analysis and simulation calculation show that for the linearly x-polarized light incident on an axicon, the y-component of the diffraction field is very small and the x-component dominates. The intensity of the z-component along the propagation direction is related with the open angle and index of axicon. The open angle plays the more important role in determining the polarization than does the index. For a small open angle, the z-polarized effect can be neglected and the scalar method is simple and valid to evaluating the diffraction field distribution of axicon. However, the vectorial method has to be used for great open angle.     

Fresnel biprism as a 1D refractive axicon

Fresnel biprism is a one dimensional refractive element that has a lateral linear phase. Having been considered this element as a refractive axicon, its focal depth was evaluated theoretically and experimentally by means of Fresnel–Kirchhoff integral. It is shown that its focal length is a function of its refractive index and its apex angle. Experimental results are in very good agreement with theoretical work.     

Tunable double annular shaped cylindrical vector beam generator

Cylindrical vector beam has gained amounts of interest in recent years due to its unique focusing characteristic. In this paper, a novel optical setup based on axicons is proposed to convert linearly polarized beam into cylindrical vector beam directly. The radius of the output beam can be adjusted by changing the distance of axicons. We clarify the design philosophy in details and certify the feasibility of the proposed structure by using LightTools™ software. This work is important for micro-manipulation and microscope.     

衍射和干涉理论对Bessel光传输的描述

 采用衍射积分理论和干涉理论分别对轴棱锥产生的Bessel光的传输特性进行描述,并讨论了其适用条件和优缺点。数值模拟了光传输的3维强度分布,同时进行相关参数的实验测定。数值模拟和实验结果表明：在最大无衍射距离内,衍射理论能很好地描述Bessel光的轴上光强分布,当接近或超出最大无衍射距离时,干涉理论也能较好地描述Bessel 光的强度分布,实验结果和理论分析基本吻合。     

The generation of Bessel beams at millimetre-wave frequencies by use of an axicon

An axicon is used to generate a Bessel beam at 90 GHz in the millimetre-wave region of the spectrum. The Bessel beam has a central intensity maximum of approximately 4 mm in diameter that is maintained over a propagation distance greater than 60 mm.     

Remote control of extended depth of field focusing

We propose a novel system allowing remote control of the location of the extended focal depth region. This system may find applications in situations where controllable optical access to an enclosure is needed and it is desirable to minimize the movement of the focusing lens. Our scheme uses three axicons, two external ones generating a ring and an internal one producing the focal region. We present a proof of concept of this system, consisting of measurements of the longitudinal and transverse intensity distributions, for a reference configuration and one with a displaced position of the extended depth of field focus.     

可调空间分辨USEDCARS技术研究

相干反斯托克斯拉曼散射（CARS）技术是一种非常重要的燃烧诊断技术,该技术具有非常强的抗干扰能力和非常高的测量精度。但空间分辨力不足会使CARS技术产生很强的空间平均效应,引起成CARS光谱畸变,进而造成CARS光谱分析困难,无法通过CARS光谱反演燃烧场参数。针对非稳腔空间增强探测CARS（USEDCARS）技术存在的空间分辨不足以及空间分辨力不易改变的特点,分析了影响USEDCARS技术测量空间分辨力的各种因素,采用一组轴棱锥对USEDCARS系统中的泵浦激光进行环状光束整形,并通过调节轴棱锥之间的距离获得了不同直径的环状光束,在此基础上,建立了空间分辨可调USEDCARS诊断系统。开展了空间分辨力分析实验,获得了CARS信号强度随空间位置的分布数据,以CARS信号总强度95%包含的空间区域代表CARS的纵向空间分辨力,以此计算得到了CARS系统空间分辨力为1.7～6.5 mm连续可调。其中,高分辨力情况,达到了现有BOXCARS技术的空间分辨力。利用所建立的空间分辨可调USEDCARS诊断系统测量了酒精/空气预混火焰温度参数,获得了不同空间分辨条件下的CARS光谱。空间分辨力为1.7 mm时,获得了高质量CARS光谱,通过光谱拟合给出了所测火焰的温度信息。分辨力分别为4.9和6.5 mm时获得了较强的CARS信号,但存在光谱畸变。结果显示,空间分辨力对CARS信号的强度和空间平均效应有很大地影响,提高测量的空间分辨力可以有效消除空间平均效应,获得准确的CARS光谱,增强光谱拟合精度,同时空间分辨可调的特性使该系统能够更好地适应不同实验条件下的诊断工作。     

Bessel beam spatially truncated

We present a study of spiral structures generated by superposition of a truncated Bessel beam and a plane wave. One of the main characteristics of spiral structures is that the shape of spiral beams remains unchanged upon propagation. The results of experimental observations using a Mach-Zehnder interferometer are compared with the numerically calculated intensity distribution. We show that when spiral beams are disturbed by a nontransparent obstacle, the amplitude of the transmitted field is distorted at nearby distances behind that obstacle, but during free-propagation, it regenerates to its initial form.     

On-axis irradiance distribution of axicons illuminated by spherical wave

The focusing properties of an axicon illuminated by spherical wave are investigated. We define the Fresnel number of the focusing axicon impinged on by spherical wave. The on-axis irradiance distribution versus Fresnel number is studied. It is shown that, similar with the plane wave, focal squeeze, which is defined as deviations for the position of the maximum irradiance, also appears in low Fresnel number. Besides, the on-axis irradiance will be smoothed for appropriate curvature radius of the divergent spherical wave; meanwhile, when the convergent spherical wave is incident on the axicon, the on-axis irradiance varies more seriously.     

柱透镜聚焦高阶Bessel光束产生焦散光束

研究了高阶Bessel光束经过柱透镜后的光场分布特性.在广义惠更斯-菲涅尔衍射积分理论基础上,推导出高阶Bessel光束透过柱透镜后的衍射光场分布表达式;并利用MATLAB和MATHCAD模拟了不同传播距离处的光强分布.实验上,利用轴棱锥和螺旋相位板产生不同阶数的高阶Bessel光束,并使产生的高阶Bessel光束经过柱透镜,最后用CCD记录下不同距离处的衍射光场.研究结果表明,高阶Bessel光束经过柱透镜形成唇状的焦散光束.