轴棱锥非圆对称加工误差对贝塞耳光束质量的影响

在惠更斯-菲涅耳衍射积分理论和稳相法的基础上,分析了轴棱锥非圆对称加工误差对其所产生的零阶贝塞耳光束(J0光束)质量的影响,对CCD拍摄的贝塞耳光斑图样进行了数值模拟。计算结果指出,当轴棱锥的截面为圆对称的理想加工时,轴棱锥产生的光场分布为近似理想的零阶贝塞耳光。当存在非圆对称加工误差,且截面为椭圆形时,衍射光斑将偏离J0光.随着椭圆半长短轴之差的增大,偏离程度增大。实验结果和理论模拟吻合得很好。     

文克勒地基上圆形薄板受轴对称载荷作用的贝塞尔函数解

利用贝塞尔函数给出了文克勒地基上圆形薄板受轴对称载荷作用解的解析表达式,并计算了文克勒地基上受均布载荷作用的圆形薄板的挠度,给出了挠度曲线.     

求一类微分方程特征值上,下界的数值方法

本文首先导出了以y″ λρ(x)y=0的特征值集为其零点集的整函数ω(λ),其中ρ(x)为分段函数(每个小段为线性或零次函数),据此,给出了一个求(ρ(x)y＇)＇ λq(x)y=0的特征值上、下界的数值方法。     

An elasticity solution for transversely isotropic,functionally graded circular plates

This article presents a new elasticity solution for transversely isotropic, functionally graded circular plates subject to axisymmetric loads. It is assumed that the material properties vary along the thickness of a circular plate according to an exponential form. By extending the displacement function presented by Plevako to the case of transversely isotropic material, we derived the governing equation of the problem studied. The displacement function was assumed as the sum of the Bessel function and polynomial function to obtain the analytical solution of a transversely isotropic, functionally graded circular plate under different boundary conditions. As a numerical example, the influence of the graded variations of the material properties on the displacements and stresses was studied. The results demonstrate that the graded variations have a significant effect on the mechanical behavior of a circular plate.     

整数阶复宗量变形贝塞尔函数的计算

根据整数阶复宗量变形贝塞尔函数模值随阶数n的变化趋势 ,给出了其数值计算的方法 .对于第一类和第二类变形贝塞尔函数分别采用向后递推和向前递推的算法 ,结果证明这种方法是快速且精确的 .     

Efficient algorithms to compute Hankel transforms using wavelets

The aim of the paper is to propose two efficient algorithms for the numerical evaluation of Hankel transform of order ν, ν>−1 using Legendre and rationalized Haar (RH) wavelets. The philosophy behind the algorithms is to replace the part xf(x) of the integrand by its wavelet decomposition obtained by using Legendre wavelets for the first algorithm and RH wavelets for the second one, thus representing Fν(y) as a Fourier-Bessel series with coefficients depending strongly on the input function xf(x) in both the cases. Numerical evaluations of test functions with known analytical Hankel transforms illustrate the proposed algorithms.     

A protocol for single-source dual-pulse stimulated emission depletion setup with Bessel modulation

STimulated Emission Depletion (STED) microscopy attains super-resolution in biological imaging beyond the diffraction limit. Here, we give a concise protocol to construct a dual-pulse STED setup with one super-continuum laser. Moreover, a flexible and dismountable Bessel modulation module is introduced for potential 2D-stack STED imaging. Experiments and notices are introduced in detail, with discussion on some important check-points for STED, such as detector saturation. Finally, the results validate the system working.     

利用单频正弦调频信号的Bessel函数曲线特性抑制连续波雷达近距离信号

连续波(CW)雷达没有近距离盲区,但存在近距离信号泄漏和目标强回波干扰问题,严重影响雷达的探测性能。针对该问题,提出了一种基于单频调频信号的贝塞尔函数曲线特性进行近距离信号抑制的方法。首先建立了调频发射信号回波及I、Q解调数学模型,推导了调频信号的贝塞尔函数曲线特性;其次阐述了如何选择合适的调频频率和调频指数,能够更好的解决近距离干扰问题;最后,针对设置的参数进行仿真,结果表明该方法有效。     

太赫兹3D打印透镜综述

太赫兹波由于其独特的电磁特性可应用于超高速率无线通信、生物化学物质检测以及高分辨率成像等领域。但由于太赫兹波的物理波长小,传统适用于低频的加工工艺难以满足其加工精度的要求;而微纳米加工工艺又具有加工复杂、成本高等缺点。3D打印技术的发展为太赫兹器件的加工提供了新的选择和更多的设计灵活度。文章介绍了香港城市大学太赫兹与毫米波国家重点实验室在3D打印太赫兹透镜方面的最新研究动态和实验研究新成果,包括基于3D打印的太赫兹高增益圆极化透镜、近场聚焦圆极化透镜、贝塞尔波束生成透镜的设计,高精度3D打印方法的探索以及太赫兹天线测试方法等。太赫兹3D打印透镜天线具有低成本、低损耗、能快速成型等特点,可应用于不同的太赫兹场景中。     

超声谐振器在传感器测距中应用分析

设计一种超声谐振器,旨在解决超声传感器远程测距中因超声波能量分散和衰减过快导致的回波信号难以识别问题。首先,根据声学理论分析了超声谐振器可以通过改善阻抗匹配提高其辐射效率;再利用Bessel函数分析了超声谐振器影响声源指向性的重要设计参数,通过改变声源频率、谐振器开口面积等设计参数可以使指向性尖锐,能量更集中。Matlab仿真计算与相应的实验均证明了理论分析的正确性和优化谐振器设计参数对提高超声探测距离的有效性与可控性。