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周期性函数

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We applied the Gross-Pitaevskii equation for BEC condensate in 1D optical lattice. For the character of the periodic potential from optical lattice, the Bloch function is used to expand our order parameter to get a 1D nonlinear equation of the envelop function.

我们应用Gross-Pitaevskii equation 来描述在一维光晶格中的玻色-爱因斯坦疑聚态,基於光晶格位能的周期性,我们用Bloch function 来展开秩序参数可得到封包函数的一维非线性方程式。

Photonic crystals are optical micro-structural materials artificially made with theirdielectric functions of a spatial periodic distribution.

光子晶体是由介电函数的空间周期性分布所形成的人工光学微结构材料。

Because of the collective modulation of the periodic dielectric distribution to the incident electromagnetic waves, the directions of the group velocity and the phase velocity can be opposite, a photonic crystal slab can work as a negative refractive-index material.

由于介电函数的周期性分布对入射光的调制作用,使得特定频率区域的入射光在光子晶体中传播时的群速度方向和相速度方向相反,因而使得光子晶体平板表现出负折射特性。

For dipping boundaries and anisotropic layers, they can cause obvious energies on transverse component and show periodicity variations as a function of back azimuth.

通过分析发现倾斜界面和各向异性介质都能使接收函数的切向分量产生明显的能量,并使径向和切向分量呈现周期性的变化。

Besides the orbit of its quotient space is periodic, which indicates when we study the dynamics property on the side of quotient spaces we may. have some facile results.

指出在商分形模型中,商空间上的轨道是具有周期性的,这说明从商空间的角度研究迭代函数系统的动力性质,可能会出现一些易得的结果。

By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

摘 要:利用文献中提出的求非线性波方程尖峰孤子解的方法,分别求解了两个重要的非线性波方程—Korteweg-de Vries 方程和Benjamin-Bona-Mahony BBM)方程,得到了3类尖峰孤子解;借助双曲函数与三角函数间的变换关系得到了1类尖峰紧孤子解,该型解兼有尖峰孤子解和紧孤子解的特点;在上述结果的基础上构造了2个周期性的尖峰行波解。

The core energy of a 60° shuffle set dislocation was investigated by an atomistic simulation method based on the Stillinger-Weber potential and periodic boundary condition.

本文使用Stillinger-Weber势函数和周期性边界条件,通过在原子尺度上的分子动力学计算研究了60°位错的位错心能量和运动情况。

Using the autocorrelation function, the principal of homodyne method is explored. The relationship between delay time induced by delay fiber and characteristics of additive frequency-domain fluctuation affixed on homodyne beat noise photoelectric-current spectrum are intensively analyzed.

一、利用自相关函数研究了零拍法测量激光线宽的原理,重点考察了零拍光电流谱线上所附加的频域周期性波动,确定了该波动的频域周期与光纤延时线所产生的时延成反比。

Golay sequences have lots of applications, e.g. as codewords for OFDM signals to limit the PAPR to 2. It's also a very interesting subject to find how many Golay sequences exist and their structure.

中文摘要由於格雷互补对的非周期性自相关函数和为脉冲的特性,因此格雷序列有很多的应用,像是应用在OFDM编码时可将PAPR限制在2之内。

The periodical changes of D,α and r_0 with the adsorption position were expressed with the first five terms in Fourier expansion. The potential surface of H_2 on (111) crystal surface was computed individually with LEPS method.

再根据表面周期性的特点,用Fourier展开的前五项表示D,α和r_0随表面位置的变化,最后用LEPS势函数作出H_2在晶体(111)面上的吸附势能面。

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