查询词典 spherical bessel function

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.

为了对部分相干修正贝塞尔－高斯光束通过有硬边光阑近轴4BCD光学系统的传输进行研究，采用将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，得到了近似的解析传输公式。

The functional relationship between displacement and sound pressure was deduced by using variational principle and Bessel function. Then the analytic solution of the eardrum displacement was obtained, and moreover the ear ossicle displacement was obtained.

由变分原理及贝赛尔函数推导出人工鼓膜位移与声压的关系，得到鼓膜位移的解析解，并由此得到听骨位移。

It is convenient because Bessel functions in the formula are common special function.

而且公式中的贝塞耳函数为常用特殊函数，计算起来很方便。

The problem of overflow during the computation of Green's function can be successfully solved by subtracting the exponential term from the modified Bessel functions.

采用将变型Bessel函数的指数项单独列出的方式有效地解决了Green函数计算中的上溢问题。

The problem of overflow during the computation of Green′s function has been successfully solved by subtracting the exponential term from the modified Bessel functions.

采用将变型Bessel函数的指数项单独列出的方式有效地解决了Green函数计算中的上溢问题。

For narrow-band signals, three uniform linear arrays, whose grating lobes are not overlapped by setting the angles between the arrays and the same pointing of main-lobes, are used and then multiplication of three patterns is operated to reduce the grating lobes of large-spaced array, which makes the array operate in broad band. For wideband or ultra-wideband signals, array pattern in the whole frequecy band is identical by designing the frequency-dependent weighting coefficients based on the Bessel function, and therefore grating lobes in high frequency parts are suppressed.

对于窄带接收信号，利用三个相交的大间距均匀线阵，通过设置它们之间的角度和主瓣指向相同使各自的栅瓣位置错开，然后把三个方向图相乘从而抑制大间距阵列栅瓣，因而适用于宽频带工作；对于宽带接收信号，利用Bessel函数设计与频率有关的加权系数，产生整个信号带宽内恒定的方向图，从而抑制了高频部分的栅瓣。

The object of projectile design is analyzed, and the layer-TOPSIS method is provided for the evaluation of total effectiveness by taking the layer concept into the TOPSIS method. In the calculation of object weights, the grade calculation method is suggested, which has less dependence on the subjectivity of decision-maker and can take account of both sensitivity and allowableness of objects, the geometric-arithmetic method is provided for grade weight calculation and methods for sensitive weight and allowable weight are given. Of modes in system analyzing, the penetration model of target with spherical-fragment is carried out based on the theory of Dynamic Spherical Cavity Expansion, and it is a supplement of the models for calculation the damage of the fragmentation warhead to target.

对弹丸设计进行了目标分析；通过在TOPSIS方法中引入层次结构的概念，提出了适用于弹丸总体效能评价的层次TOPSIS评价方法；在指标权重计算中，提出了对决策者主观依赖较少的能反映指标的敏感性和相容性的分级权重计算方法；在分级权重计算中，分别给出了等比-等差权值计算方法和敏感-相容权值计算方法；在系统分析的模型中，对破片战斗部的威力计算中的模型进行了补充，在空穴膨胀理论的基础上提出了球形破片侵彻有限厚靶板的侵彻计算模型。

The scattering properties of particles with different shape parameters are simulated respectively in the modes of reflection and refraction. Both in the modes of reflection and refraction, the phase difference of non-spherical particle's PDA signal is the unbiased estimate of the corresponding phase difference of ideal spherical particle, and the standard deviation of angle roughness scale on particle surface impacts little on the distribution of phase difference.

本文通过物理光学的方法分析了非理想球形粒子的散射特性，利用物理光学中的稳相点理论，导出了非理想球形粒子散射光的相位表达形式，分析了非理想球形粒子的形状对PDA信号相位及相位差的影响，建立了非理想球形粒子的尺寸分布与PDA信号相位差分布之间的关系。

No-spherical rigid body that has anisotropic inertia is called no-spherical sphere of inertia.

具有"各向同性"的转动惯量的非球形刚体称为非球形惯量球。

The primary phases of Al-10% Cu, Al-20% Cu Al-40% Cu alloy are nearly equiaxed spherical or rose spherical by semi-solid processing. Compared with the coarse arborization of Al-10% Cu, Al-20% Cu Al-40% Cu alloy of conventional casting, the structure of alloy is extremely improved and the appropriate grain size for the engineering application is obtained.

结果表明：利用半固态加工，可以使Al-10%Cu、Al-20%Cu、Al-40% Cu合金的初生相呈近等轴的球状或蔷薇球状，与普通铸造Al-10% Cu、Al-20% Cu、Al-40%Cu合金较粗大的树枝状相比，合金的组织得到显著的改善，达到了工程应用晶粒大小。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。