English translation for "拉盖尔"

laguerre

Example Sentences:

	1.	Associated laguerre polynomials 连带的拉盖尔多项式
	2.	However , in fact , a laser beam is hermit - gaussian in general and gaussian in its fundamental mode 而实际土激光光束近似为厄米一高斯光束或拉盖尔一高斯光束，其基模为高斯光束。
	3.	New infection of truncation parameter on focal shift and focal switch is investigated when studying laguerre - gaussian ( l - g ) beams passing through an aperture - lens separate optic system 摘要以拉盖尔高斯( l - g )光束通过光阑透镜分离的光学系统为例，研究了截断参数对焦移量和焦开关的影响。
	4.	The window function of circular hard - edge apertures is simulated and optimized by the laguerre - gauss truncated series , and applied to study the diffraction of gaussian beams and 0 - order bessel - gaussian beams by the hard - edge aperture 摘要用拉盖尔高斯截断级数模拟了任意半径的圆孔硬边光阑窗口函数，并应用于研究高斯光束和零阶贝塞尔高斯光束通过硬边光阑的衍射。
	5.	It has been pointed out that , to meet some requirements in practical applications , the partially coherent flattened gaussian beam is a suitable choice , which can be realized by using the superposition of partially coherent finite laguerre - gaussian modes or hermite - gaussian modes 提出了用有限个拉盖尔高斯模或厄米高斯模的部分相干迭加来产生部分相干平顶高斯光束，以满足某些实际应用要求的新方法。
	6.	7 . propagation properties of flattened gaussian , bessel - super - gaussian and laguerre - gaussian beams are studied by using the collins formula in the frequency - domain and hankel transform . the results are compared with those by means of the collins formula in the space - domain , and the advantage of the method is discussed 用频域collins公式和hankel变换研究了平顶高斯光束、贝塞耳?超高斯光束以及拉盖尔?高斯光束的传输特性，并与空域collins公式计算结果作了比较，同时讨论了该方法的优点。
	7.	By use of the relationships between the hermite polynomial and the laguerre polynomial , the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form . therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found . through the coordinates transform , the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found 首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。
	8.	In order to calculate easily and do n ' t influence the single - chip microcomputer ' s calculate velocity , we put forward two scheme to deal with the numerical value , one is to use a simple function to close or approach a normal function f ( x ) ( mainly is lagrange ' s intepolation , newton ' s intepolation , hermite ' s intepolation , cubic spline interpolation , etc . ) the other one is function approach ( mainly is chebyshev ' s polynomic . legendre ' s polynomic , laguerre ' s polynomic , method of least squares , etc . ) , we analyze and compare the lagrange ' s intepolation and chebyshev ploynomic , at last , we select the chebyshev polynomic to do the value calculating on single - chip microcomputer 提出了数值处理的二种方案。即用简单函数近似或逼近一个一般函数f ( x ) (主要有拉格朗日插值、牛顿插值、埃尔米特插值、三次样条插值等)和函数逼近(主要有切比雪夫多项式、勒让德多项式、拉盖尔多项式、最小二乘法等) ，对上述两个方案中的典型函数?拉格朗日插值和切比雪夫多项式进行了分析比较，最后选取切比雪夫多项式完成单片机上的数值计算。
	9.	The results of the axial and transversal intensity distributions of gaussian beams and 0 - order bessel - gaussian beams show that the results by the optimized laguerre - gaussian truncated series are in good agreement with those by the fresnel diffraction integral method if the integration plane is not close to the aperture 对高斯光束和零阶贝塞尔高斯光束的轴向和横向光强分布的计算结果表明：当积分面不是很靠近光阑时，用参数最佳化选取的拉盖尔高斯截断级数法与用直接数值积分所得结果符合很好。

Similar Words：

"拉嘎安之战" English translation, "拉嘎尔德" English translation, "拉嘎尔德市" English translation, "拉盖" English translation, "拉盖蒂" English translation, "拉盖尔变换式" English translation, "拉盖尔多项式" English translation, "拉盖尔方程" English translation, "拉盖尔函数" English translation, "拉盖尔微分方程" English translation