查询词典 spherically

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

As compared with aberration-free super-Gaussian beams, the profile of spherically aberrated super-Gaussian beams can be leptokurtic, mesokurtic or platykurtic, depending on the aberration and propagation distance.

从能量集中度的角四川大学博士学位论文度来衡量，正球差使得光束质量降低，而合适参数的负球差透镜使得光束质量得到改善。

Both M2-factor and PIB are chosen as the criterionfor charactering laser beam quality, detailed numeri cal calculations are performed toillustrate the effect of the spherically aberr ated lens on laser beam quality.

以M2因子和PIB作为光束质量评价的参数，进行了详细的数值计算来说明球差对光束质量的影响。

Based on the beampropagation equation in free-space, the hyperbolic-fit mothed is used to calculate theM2-factor of Gaussian beams passing through a spherically aberrated lens.

根据自由空间束宽的传输方程，采用双曲线拟合的方法，计算了高斯光束通过球差透镜后的M2因子。

In this dissertation, based on the beam propagation equation in the free-space, the hyperbolic-fit mothed is used to calculate the M2- factor of Gaussian beams passing through a spherically aberrated lens for the first time.

本论文根据自由空间中光束的传输方程，利用多点拟合的方法，通过数值计算，首次研究了激光束通过球差透镜后的M~2因子随球差的变化规律，并用M~2因子、桶中功率和K参数作为光束质量评价参数，讨论了透镜的像差、遮拦比等对激光光束质量的影响。

Beam quality of Gaussian beams passing through a spherically aberrated annular lens

性质：反应器各种状态参数随空间位置连续变化的数学模型。

On the basis of numerical calculation of ultrasonic field of a spherically focusing radiator for various excitations such as continuous waves, attenuation waves and pulse waves, the characteristics of focal speckles for different excitations have been compared and the various factors which cause the changes of the characteristics of focal speckles have been studied.

数值计算了在连续波、衰减波以及脉冲波等不同激励方式下凹球辐射面的聚焦声场，在此基础上，对不同激励源的焦斑特性进行了分析比较，对影响焦斑特性变化的因素进行了分析研究。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数，将球面各向同性弹性力学运动方程，简化为关于ψ的二阶偏微分方程，和关于W和G的联立方程。在静力学问题中，联立方程可进一步简化，w和G可用另一位移函数F表示，而F满足一个四阶偏微分方程。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。