Propagation of vectorial Lorentz beam beyond the paraxial approximation

Based on the vectorial Rayleigh–Sommerfeld integrals, the analytical propagation expression of vectorial Lorentz beam beyond paraxial approximation is presented. The far field expression and the scalar paraxial result are obtained as special cases of the general formulae. According to the analytical representation, the light intensity distribution of vectorial Lorentz beam is depicted at the different reference planes. This research provides an approach to further investigate the propagation of Lorentz beam beyond the paraxial approximation.     

二元光学在强激光波面整形中的应用

文章首先介绍了二元光学波面整形器件的理论基础。在分析GS、YG等正反迭代算法存在问题的基础上,提出三种优化算法,即全局/局部联合搜索算法（GLUSA）、爬山-模拟退火混合算法及多分辨率的混合优化算法。以惯性约束核聚变中光束匀滑为例,进行了二元光学器件的位相设计,获得了良好的位相结构与焦斑性能。采用旋转镂空掩膜板制作了准连续位相器件,并利用CCD与多种光强衰减片进行焦斑光强测量。实验结果表明：获得了较好的顶部均匀性、陡边、小旁瓣、高主瓣能量利用率以及光斑中心没有锐脉冲的光强分布。     

Incoherently coupled multi-color vector solitons in strongly nonlocal nonlinear media

We investigate the incoherently coupled multi-color vector solitons in strongly nonlocal nonlinear media. Results show that multi-color vector spatial solitons are fundamentally a collective effect, where all the frequencies participate in the process, and self-adjust their respective contributions to the formation, thus forming the same waveguide and guide all the frequencies. Moreover, we find that when the soliton is formed, the soliton width is larger for lower frequencies (longer wavelengths) and shorter for higher frequencies (shorter wavelengths) independent of their input power spectrum. Pertinent numerical examples are presented to show their properties further.     

Modeling the process of propagation of a laser beam using the Kirchhoff method

Simultaneous measurement of the distribution of intensity and phase of a laser beam in an arbitrary cross-section and modeling of the behavior of the beam along the axis of propagation by means of the Kirchhoff method are proposed. __________ Translated from Izmeritel’naya Tekhnika, No. 6, pp. 36–39, June, 2006.     

Propagation properties of vectorial Hermite–cosine–Gaussian beams beyond the paraxial approximation

Starting from the vectorial Rayleigh–Sommerfeld diffraction integrals, the analytical propagation expressions of vectorial nonparaxial Hermite–cosine–Gaussian (HCosG) beams in free space are derived. The on-axis intensity, far-field equation and, in particular, paraxial expressions are given and treated as special cases of our result. It is shown that for vectorial nonparaxial HCosG beams, the parameter f = 1/kw ₀, with k being the wave number and w ₀ being the waist width, determines their nonparaxiality. What is more, the decentered parameter also affects their intensity distribution and nonparaxial behavior. The calculation results indicate that the position of maximum on-axis intensity changes with the mode indices.     

Modeling of dispersion and nonlinear characteristics of tapered photonic crystal fibers for applications in nonlinear optics

In this article, we investigate for the first time the dispersion and the nonlinear characteristics of the tapered photonic crystal fibers (PCFs) as a function of length z, via solving the eigenvalue equation of the guided mode using the finite-difference frequency-domain method. Since the structural parameters such as the air-hole diameter and the pitch of the microstructured cladding change along the tapered PCFs, dispersion and nonlinear properties change with the length as well. Therefore, it is important to know the exact behavior of such fiber parameters along z which is necessary for nonlinear optics applications. We simulate the z dependency of the zero-dispersion wavelength, dispersion slope, effective mode area, nonlinear parameter, and the confinement loss along the tapered PCFs and propose useful relations for describing dispersion and nonlinear parameters. The results of this article, which are in a very good agreement with the available experimental data, are important for simulating pulse propagation as well as investigating nonlinear effects such as supercontinuum generation and parametric amplification in tapered PCFs.     

火箭推进剂液氢中氦的分析方法

使用气相色谱法分析氢中氦时,在常用色谱柱上氦出峰在氢后面,并且位置很近,较大的氢峰会掩盖氦峰。针对上述问题,研制了一种新的色谱柱固定相,用于色谱法分析氢中氦组分。给出了这种固定相对氢、氦组分的分离原理、制作方法和实验过程。实验结果表明,采用气相色谱热导检测器,配用金属钯做色谱柱固定相,可成功地完成对氢、氦组分的分离和检测。     

非对称周期结构中耦合波的传播特性

为了揭示周期结构中纵向波和弯曲波的耦合作用,设计了对称和非对称周期结构。考虑子结构中的纵向和弯曲耦合运动,利用导纳法和传递矩阵法,得到了周期单元的传递方程。由于结构中存在多种波的耦合作用,在求解周期单元的传播系数时将出现变态矩阵,采用波型分组法,求得了周期结构中多种波型的传播系数。推导了半无限长和有限长周期结构在纵向力、横向力和弯矩作用下的动态响应。数值计算结果表明,对称周期结构中纵向波和弯曲波的带隙结构相互独立;非对称周期结构中纵向波和弯曲波的耦合明显改变了两种波的带隙结构,只有在两种波阻带重叠的频段内结构上的振动响应才存在衰减。     

Measurement of the quality of laser beams by methods of fourier optics

A new method of determining the magnitude of M², the coefficient of exceedance of the diffraction limit of the divergence of a laser beam, based on the principles of Fourier optics is proposed. By means of the new method, it is possible to substantially simplify the design of the measuring transducer and expand the types of devices that may be used to measure the parameters of laser beams. An experimental comparison of the proposed method with the method regulated by ISO Standard 11146 is conducted. __________ Translated from Izmeritel’naya Tekhnika, No. 10, pp. 42–45, October, 2006.     

超长空间激光传输数值模拟研究进展

文章主要围绕空间引力波探测中超长空间链路传输部分进行介绍,概述了目前国内外星间传输仿真时采用的计算方法,以及指向抖动引起的相位噪声分析方法。相较于地基引力波探测,空间引力波探测可以有效降低噪声,增加干涉臂长度,从而实现更高精度、更低频率的探测。在长达数百万公里的传输距离,以及皮米量级数值模拟的精度要求下,需要考虑指向角变化引起的相位噪声。研究表明,在2.5×10⁹ m的传输距离下,离焦和像散是影响指向抖动噪声的主要像差。通常情况下,相位驻点位置与原点位置存在一定偏离,需要对望远镜角度进行调整,才能使相位噪声最小化。在相位驻点位置进行引力波探测,可以有效降低相位噪声,并降低望远镜出瞳波前的质量要求。而大的离焦像差与小的彗差可以使相位驻点接近光轴,提高接收到的激光功率。

     

Focusing of radially polarized Lorentz–Gauss beams with the power–exponent–phase vortex

Using the vector diffraction theory, the optical field of the focusing radially polarized Lorentz–Gauss beam with the power–exponent–phase vortex is derived. The normalized intensity distributions of the focusing radially polarized Lorentz–Gauss beam with the power–exponent–phase vortex are numerically demonstrated. The influences of the power order n and the topological charge m on the normalized intensity distribution are examined. The beam centre and the effective beam size, which are defined by the first- and the second-order moments of the intensity distribution, are the important parameters for focus. Therefore, the quantitative effects of the power order n and the topological charge m on the beam centre and the effective beam size are further investigated. This research is beneficial to the optical manipulation which is involved in the radially polarized Lorentz–Gauss beam with the power–exponent–phase vortex.     

New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method

The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide. New exact solutions of the coupled sine-Gordon equations have been derived through the use of the well-organized modified Kudryashov method.     

Optical solitons of some fractional differential equations in nonlinear optics

This paper deals with two different forms of the conformable fractional Benjamin–Bona–Mahony (BBM) equations by an analytical method. These physical models have important applications for describing the propagation of optical pulses in non-linear media. The conformable fractional symmetric BBM equation and the conformable time fractional Equal-width (EW) equation are considered. The extended Jacobi’s elliptic function expansion scheme are used to extract explicit solitons.     

轴向变速黏弹性Rayleigh梁非线性参数振动稳态响应

研究非线性轴向运动黏弹性Rayleigh梁因速度周期变化产生的亚谐波共振。轴向运动速度在平均速度附近做简谐周期性脉动。通过取物质导数的Kelvin本构关系描述Rayleigh梁的黏弹性。运用多尺度近似解析方法,构建轴向运动Rayleigh梁的非线性偏微分方程的可解性条件,分析参数振动稳态响应的振幅与扰动速度频率关系。并运用微分求积方法直接离散非线性Rayleigh梁的控制方程,以验证近似解析方法分析。通过数值算例,分析了系统参数对稳态响应曲线的影响。     

Active control of nonlinear forced vibration in a flexible beam using piezoelectric material

Geometric nonlinearities of the beam and piezoelectric patch are considered. Velocity feedback control algorithm is implemented applying piezoelectric materials. The equation of motion of the system is established using Hamilton's principle. The effects of control gains on primary resonance properties of the beam are studied. It is observed that, with the amplitude of external excitation increasing, the amplitude of resonance curve increases. The velocity feedback control can improve unstable resonance of the beam. When the control gain is increased to a certain value, the unstable regions in the resonance and amplitude-frequency curves disappear.     

M-ary pulse position modulation performance with adaptive optics corrections in atmospheric turbulence

ABSTRACT

The performance of M-ary pulse position modulated (PPM) optical wireless communication (OWC) systems in atmospheric weak turbulence medium is evaluated by using adaptive optics corrections. Piston, tilt, defocus and coma components of adaptive optics corrections are applied to the avalanche photodetector (APD) type of receiver and the results are obtained depending on various turbulence and receiver parameters. The lognormal channel distribution is used to model the weak atmospheric turbulence conditions. Adaptive optics correction increases the bit-error-rate (BER) performance of an OWC system operating in atmospheric turbulence conditions. Piston component yields the highest BER performance, followed by the tilt, defocus and coma adaptive optics correction components respectively.     

Recent advances in Lorentz microscopy

Lorentz transmission electron microscopy (LTEM) has evolved from a qualitative magnetic domain observation technique to a quantitative technique for the determination of the magnetization state of a sample. In this review article, we describe recent developments in techniques and imaging modes, including the use of spherical aberration correction to improve the spatial resolution of LTEM into the single nanometer range, and novel in situ observation modes. We review recent advances in the modeling of the wave optical magnetic phase shift as well as in the area of phase reconstruction by means of the Transport of Intensity Equation (TIE) approach, and discuss vector field electron tomography, which has emerged as a powerful tool for the 3D reconstruction of magnetization configurations. We conclude this review with a brief overview of recent LTEM applications.     

聚合物SiON波导的可变光衰减器性能研究

利用弯曲聚合物SiON波导设计了一种新型可变光衰减器,该器件由输入、输出直波导,S型的弯曲波导,以及在聚合物SiON波导弯曲部位镀上的电极组成.通过外加电场的作用来调节波导覆盖层的折射率,从而达到衰减波导中光能量的目的.现采用光束传播法(BPM)对设计的新型光衰减器进行了仿真设计,结果表明,设计的光衰减器具有大的动态可调衰减范围(45.3 dB),低的插入损耗(0.8 dB).