查询词典 Bessel

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

The longitudinal component of electromagnetic wave propagating in fiber can be expressed by Based function or the modified Bessel function of second kind. Based on this principle, we put forward a simple method for generating a Bessel beam with glass capillary and focusing lens.

对光纤中传播的电磁场分析发现，其纵向分量可以用贝塞耳函数及第二类变态贝塞耳函数来描述，据此，提出一种利用玻璃毛细管和聚焦透镜实现贝塞尔光束的简易方法。

The double integration can be simplified to standard Bessel integration through the relation of Bessel functions.

利用贝塞尔函数的性质可将该二重积分化为标准的贝塞尔积分，然后采用直接数值积分的方法计算该积分。

The fundamental and higher-order harmonic ultrasound fields of a zeroth-order Bessel ultrasound field and focused Gaussian field in absorbing medium are computed and simulated by solving the KZK equation using a frequency domain finite difference method.

通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。

The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。

While calculating tensor Green's functions, the algorithm of secondary division is adopted to solve the singular problem. The Gaussian quadrature and continued fraction is adopted to calculate the integral with Bessel function. This method not only can ensure the right calculation of tensor Green's functions but also can get high precision.

求取张量格林函数积分时，采用二次剖分算法解决计算中奇异值问题，对于含有贝塞尔函数的积分项，利用结合连分式展开的高斯求积代替常规的快速汉克尔变换方法，确保了张量格林函数的正确计算并提高了计算精度。

Such as means to produce Laguerre-Gaussian modes, high order Bessel modes and complex astigmatic elliptical beams.

分别介绍了如何产生拉盖尔－高斯光束，高阶贝赛尔光束，以及复杂像散椭圆光束。

Propagation properties of high-order Bessel-Gaussian beam through a misaligned first-order ABCD system have been studied by using the generalized Huygens-Fresnel diffraction integral and augmented matrix .

使用广义惠更斯-菲涅耳衍射积分和增广矩阵，研究了Bessel-Gaussian光束通过失调一阶ABCD系统的传输特性。

Matlab Application of different boundary conditions of Bessel equation calculation of the source.

应用matlab对不同边界条件下的贝塞尔方程进行计算的源程序。

Many types of optical transmission, and here I step on the weak-guided wave fiber wave equation to study and understand the step-index optical waveguide mode, are second-order differential equations Bessel equation.

光纤传输的种类很多，在这里我只对阶跃型弱导波光纤波动方程进行研究，了解阶跃折射率光纤的波导模式，得到二阶微分方程Bessel方程。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。