The intensity distribution of hollow Gaussian beams focused by a lens with spherical aberration

We developed an expression that describes the hollow Gaussian beams (HGBs) passing through a spherically aberrated lens by using the Collins formula. The radial intensity distribution in both spherical aberration SA free lens, lens that exhibits relatively large in both positive spherical aberration PSA, and negative spherical aberration NSA is calculated. Numerical calculations are made and the results show that the PSA and NSA have a strong influence on the intensity distribution especially at the focus. The study showed remarkable results for which there is no hollow Gaussian beam at a large NSA along the optical axis at the focus. In addition, we found that the DSS, and w_r of focused hollow Gaussian beams in the focal region depend not only on the beam radius, and beam order; but also on the spherical aberration.     

Optical testing of star sensor (I): Defocus spot measuring technique for ground-based test

We developed a technique for measuring the intensity distribution of a point image in sub-pixel resolution even after assembly of a lens and an image sensor, which is especially suitable for defocus adjustment of a star sensor used to determine the attitude of a spacecraft. The star sensor optical system is usually aligned in a defocused position to calculate the luminance centroid of a star image in sub-pixel resolution. In the measurement technique, the point image is carefully scanned around a certain pixel on the image sensor, and the intensity change of the pixel is recorded during the scanning. We applied this technique to the alignment of our star sensor’s optical system, and we were able to suppress the spot size in a range between 1.2 and 2.2 pixels at 1/e² diameter at a certain defocus position, making it appropriate for luminance centroid calculation.     

Measurement of X-ray and neutron sources with polycapillary optics

A new method to measure the anode of X-ray sources is suggested. Using this method, one can not only measure the size of an anode spot but also obtain a 3D intensity distribution in the anode. The anode spot measurement accuracy depends on the size of the focal spot of an X-ray polycapillary lens.     

Sharply focusing a radially polarized laser beam using a gradient Mikaelian’s microlens

Focusing a radially polarized annular Gaussian beam with a gradient Mikaelian’s microlens is simulated using a radial version of the FDTD method (finite-difference time domain), in which Maxwell’s equations in the cylindrical coordinates are solved in the MATLAB 7.0 environment. We show that the focal spot size (the area with larger-than half-maximum intensity) can be made as small as 0.126λ², with focal spot diameter being 0.40λ.     

Fast LEED-intensity measurements with a computer controlled television system

A standard television system in combination with a processing computer is used for measurements of LEED beam intensities of a spot pattern. The video signal of the TV camera contains the intensity distribution of each spot. This can be integrated for one selected spot by the computer which also takes care of automatic background subtraction. The processing program controls the energy of the incident electron beam and follows the moving spot position. One integration of a profile and thus the measurement of one point of anI(E) curve takes 0.5 s or less. Diffracted beam currents down to 10⁻¹¹ A can be detected with the present experimental set-up. The output is immediately displayed and recorded in final reduced formI/I ₀.     

Convergent-beam diffraction of ultra-short hard X-ray pulses focused by a capillary lens

We report the generation of diffraction patterns using X-ray pulses from a fs-laser plasma focused by an X-ray capillary lens to a spot size smaller than 100 μm. A thin moving iron tape is irradiated at 10 Hz with 200 mJ/130 fs titanium–sapphire laser pulses. [ _Fe]Kα (λ=0.194 nm) radiation emitted from the rear side of the tape is focused to a spot by the capillary lens resulting in an intensity enhancement of about 1600. The ability of this system to effectively allow diffraction from samples of micron size is demonstrated by producing well-illuminated diffractograms from a Si(111) crystal with good signal to noise ratio obtained in only about 10 s. The different path lengths of propagation in the lens induce an angle-encoded delay of the converging X-ray pulse and thus provide the possibility of realizing a novel ultra-fast streak camera. PACS 52.59.Px; 52.38.Ph; 41.50.+h; 61.10.Nz     

Toward the subdiffraction focusing limit of optical superresolution

A superresolving three-zone plate is applied to a Fresnel diffractive lens. It is shown that for radial incident polarization this combination produces a focal spot approaching superresolution allowed subdiffractive limit of 0.36lambda/NA for focusing. For media responsive to longitudinal field component only, our phase engineering scheme results in a focal spot size of 0.368lambda/NA. When used with a solid immersion lens, the scheme can generate the smallest focal spot available for passive optics.     

强聚焦条件下连续位相板散斑特性的矢量分析

连续位相板(CPP)经过透镜聚焦后,在焦平面上形成一个散斑场,散斑场的统计性质决定了CPP的束匀滑特性。当使用大数值孔径透镜聚焦后,傍轴近似不再成立,因此分析CPP焦斑特性时标量衍射理论不再适用。采用Richard-Wolf矢量衍射理论对强聚焦条件下的CPP焦斑进行了计算,在此基础上分析了矢量焦斑场的统计特性,讨论了焦斑的轮廓。结果表明,由于非近轴的原因,矢量分析得到的焦斑尺寸略大,且通过矢量分析后能够得到z轴方向的光场分量。散斑场的振幅分布满足瑞利分布特性,强度分布满足负指数分布特性,且矢量合成方向的光强分布会略微偏离负指数分布特性。     

Dual focus diffractive optical element with extended depth of focus

A dual focus property and an extended depth of focus were verified by a new type of diffractive lens displaying on liquid crystal on silicon (LCoS) devices. This type of lens is useful to read information on multilayer optical discs and tilted discs. The radial undulation of the phase groove on the diffractive lens gave the dual focus nature. The focal extension was performed by combining the dual focus lens with the axilens that was invented for expanding the depth of focus. The number of undulations did not affect the intensity along the optical axis but the central spot of the diffraction pattern.     

Magnetic properties of epitaxial-grown exchange-coupled FePt/FeRh bilayer films

The propagation of a laser beam through a micro-lens array (MLA) was simulated using Finite Time Difference Domain (FDTD) method. The intensity distribution at different output planes away from the micro-lens array surface was investigated. As compared to the focal plane, the intensity distribution observed at those out-of-focus planes varies, which is attributed to the interference and diffraction of output laser beams. The simulated results were counter checked by placing a physical MLA under an illumination of a 488 nm continuous wave Argon Ion laser and images were captured for different output planes. Both simulation and experimental results show a great similarity in terms of the distribution patterns. By changing the lens sag height with respect to the lens diameter, the full width at half maximum (FWHM) of the focused laser spot and its corresponding maximum energy flux were analyzed. A FWHM of 160 nm can be achieved by proper selection of lens sag height. It is also found that the energy flux is proportional to numerical aperture (NA).     

部分相干平顶高斯光束通过球差透镜的聚焦特性

 基于部分相干光的传输理论,研究了部分相干平顶高斯光束通过球差透镜聚焦后轴上点的光强分布。数值计算表明:轴上最佳聚焦点随着球差从负到正的变化而向几何焦点方向移动;光束阶数越大,实现最佳聚焦点越过几何焦点所需的正球差值越小;正负球差对应的最佳聚焦点始终分居于无球差时最佳聚焦点的两侧;轴上最佳聚焦点的光强随着球差从负到正的变化而变小;当正负球差绝对值较大时,光强随球差的变化较为缓慢,而在球差值为0附近,光强随球差的变化比较剧烈。     

Tailored TEMp0 beams for large size 3-D laser prototyping

The Laser-Lithography technique allows the fabrication of complex objects having microsizes by selectively solidifying polymeric materials layer by layer upon exposure to a focused Gaussian laser beam having a beam propagation factor M²=1. We can expect that extension of this technique to large sizes 3-D prototyping comes up against a large increase in the design time. A possible solution is the increase in the focused spot size, but unfortunately at the price of a great reduction in the longitudinal resolution due to the resulting increase in the depth of focus. To overcome these difficulties, we propose the use of a rectified TEM_p0 beam allowing the obtaining of a Gaussian beam intensity profile in the focus plane of a lens. The reshaped TEM_p0 beam has a beam propagation factor M²≈(2p+1), and this yields to a relative improvement of the longitudinal resolution although the spot size is increased for reducing the processing time.     

部分相干平顶高斯光束通过球差透镜的聚焦特性

基于部分相干光的传输理论,研究了部分相干平顶高斯光束通过球差透镜聚焦后轴上点的光强分布。数值计算表明:轴上最佳聚焦点随着球差从负到正的变化而向几何焦点方向移动;光束阶数越大,实现最佳聚焦点越过几何焦点所需的正球差值越小;正负球差对应的最佳聚焦点始终分居于无球差时最佳聚焦点的两侧;轴上最佳聚焦点的光强随着球差从负到正的变化而变小;当正负球差绝对值较大时,光强随球差的变化较为缓慢,而在球差值为0附近,光强随球差的变化比较剧烈。     

A new lateral distribution function for electrons in extensive air showers (EAS) detected near sea level

Summary A detailed analysis of Extensive Air Showers in the size range 10⁴–10⁶ particles detected near sea level has yielded a new distribution function for the radial distribution of EAS electrons. The goodness-of-fit criteria applied to the present and already existing similar distribution functions confirm that the present function is appropriate in EAS at radial distances beyond 20 m from the shower axis.     

基于简单透镜列阵的可调焦激光均匀辐照光学系统研究

本文对基于简单透镜列阵的大口径激光均匀辐照光学系统的调焦能力进行了研究, 结果表明, 改变透镜列阵与靶镜之间的距离即可方便地改变靶面上光斑的大小. 文中详细分析了相关参数对调焦能力的影响, 并在此基础上设计出一个实用的光学系统. 用数值方法模拟了激光束通过光学系统后的传输, 发现尺寸不同的靶面光斑具有基本一致的强度结构特征. 定量地分析了光斑内部散斑间隔、调制对比度、顶部不均匀度及能量集中度等描述光斑均匀辐照质量的指标, 并研究了它们随靶面离焦量的变化关系.     

Fluorescent Determination of Succinylcholine Chloride by Naphthalimide/ Stilbazolium Dye ⊂ CP5A

Succinylcholine Chloride (SCC), a short-acting neuromuscular relaxant, is non-fluorescent in aqueous solutions. This property makes it impossible to be determined by direct fluorescent method. Naphthalimide dye (NA) exhibits very strong fluorescence emissions in aqueous solution, after complexing with carboxylatopillar[5]arene (CP5A) in aqueous solutions, the fluorescent quenched intensity of complex was observed. On the contraty, stilbazolium dye (SA) exhibits weak fluorescence emissions in aqueous solution, after being included by CP5A, a fluorescence enhancement was observed. However, adding SCC to the NA? CP5A or SA? CP5A complex solution led to the recovery of the fluorescence intensity, in the meantime, the color of SA? CP5A solution changed from dark yellow to light yellow. The competitive supramolecular interaction between SCC, NA and SA for CP5A was studied by spectrofluorometry, ¹H NMR. Herein, a FID (fluorescence indicator displacement) system to detect SCC based on NA? CP5A and SA? CP5A complex was developed.     

Three-zone phase-only filter increasing the focal depth of optical storage systems with a solid immersion lens

The field distribution of a Weierstrass solid immersion lens (SIL) is presented, which shows that its focal depth is only in nanoscale. A novel filter design based on a three-zone binary phase pupil function is introduced for increasing the focal depth of a near-field Weierstrass SIL system and a procedure for designing a rotationally symmetric binary phase filter is presented. Numerical results show that an appropriate three-zone phase-only filter not only can evidently increase the focal depth of the SIL system, but also can effectively lower the spreading of the spot size with distance and suppress the side-lobe intensity. PACS 42.79.Ci; 42.40.Lx; 42.79.Vb; 42.25.-p     

Optical head with metal cladding in asymmetrical butted-grating structure for small thermal spot in laser-assisted magnetic recording

A planar near-field optical head with a high optical efficiency of 12.9% (3.2 times higher than that of our previous design) for laser-assisted magnetic recording is described. In this head, a slab-type waveguide with a narrow core is butt-coupled into a one-sided multilayer thin-film stack. Metal cladding is used in the core because of its high optical efficiency due to surface plasmon excitation. To keep production costs low, we use only two layers for the side part, which act as a two-index-step lens that couples light in the side part into a core of the central part. We optimized the parameters of this optical head and recording medium by means of an optical simulator using the finite-difference time-domain method and a thermal simulator. The calculated full width half maximum (FWHM) optical spot size on the recording medium is 24 × 47 nm² and the thermal spot size is 80 × 88 nm² (FWHM).     

Implementation of ultrafast X‐ray diffraction at the 1W2B wiggler beamline of Beijing Synchrotron Radiation Facility

The implementation of a laser pump/X‐ray probe scheme for performing picosecond‐resolution X‐ray diffraction at the 1W2B wiggler beamline at Beijing Synchrotron Radiation Facility is reported. With the hybrid fill pattern in top‐up mode, a pixel array X‐ray detector was optimized to gate out the signal from the singlet bunch with interval 85 ns from the bunch train. The singlet pulse intensity is ～2.5 × 10⁶ photons pulse^?1 at 10 keV. The laser pulse is synchronized to this singlet bunch at a 1 kHz repetition rate. A polycapillary X‐ray lens was used for secondary focusing to obtain a 72 µm (FWHM) X‐ray spot. Transient photo‐induced strain in BiFeO₃ film was observed at a ～150 ps time resolution for demonstration.     

基于低相干光的阵列透镜束匀滑技术研究

基于激光加载的材料状态方程的实验研究对靶面光强分布的均匀性及稳定性提出了极高的要求,靶面光强的上述两大特性在很大程度上决定了实验结果的精度和可重复性.本文针对传统窄带高相干激光装置在激光加载材料状态方程实验中表现出的靶面光强均匀性和光强分布稳定性两方面可能存在的问题,提出了基于宽带低相干激光,利用消衍射阵列透镜联合诱导非相干技术的束匀滑方案,并重点分析了波前相位畸变对靶面不均匀性及稳定性的影响.模拟结果表明,该方法明显降低了靶面不均匀性,提高了对波前相位畸变的包容度,获得了均匀、稳定的光强分布.统计分析显示,焦斑强度分布极差和不均匀性与波前相位畸变均方根梯度相关性较强.因此,可以根据统计结果以及实验对焦斑强度分布的要求,给出波前相位畸变的容差范围,对状态方程实验中激光驱动器参数的设计与优化具有指导意义.