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In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法,即通过把位场数据曲化平视为平面位场数据向上延拓的反问题,得到曲化平的线性积分方程,再把曲面上位场数据视为曲面平均高程面上的位场数据,利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上,再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正,最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据,并进行迭代。

Experimental results show that the refractive index modulation can reach about 0.010; and the depth of surface relief is low to about 0.7~12.4nm, which will be lower than 1nm in the gratings with 200~400nm period(according to the first-order and second-order DFB grating period of organic semiconductor lasers).

实验结果表明,折射率调制幅度较高,可以达到0.010左右;表面起伏很低,约0.7~12.4nm,在周期为200~400nm(对应于有机半导体激光器的一级和二级DFB光栅周期)的聚合物光栅中,表面起伏深度小于1nm。

Designed with anti-hump to prevent humps and lumpiness that create uncomfortable feel.

特别设计不会有小丘起伏或波浪,这些小丘起伏会让您感觉到很不舒服。

We expect it will benefit the industry field to break through the optical measuring limits at present by offering some new ideas. Optical measuring research based on moire interferometry has developed for several decades. The main idea of this research is to utilize the moire effect caused by two superimposed gratings of identical or similar spatial frequency. One is the reference grating and it is a virtual grating created by a computer program in this research; The other grating is the image of grating projected on the measured surface by the DLP projector, and this grating will distort because of the different sloped profile of the surface. To superimpose the program-created grating and the captured distorted grating will derive the so-called moire effect. This research combined the basic theory of optical interferometry and moire effect to project the different phases of the projected grating fringes by the phase-shifting method and compute the principal value of arguments between -π,π. In the end, the phase unwrapping program based on discrete Fourier transform of solving PDEs is used to unwrap the phase of the measured surface, and finally the surface profile is derived by the optical measuring system.

以叠纹干涉术为基础的光学检测研究之发展早已行之有年,而在本研究中所采用的投影叠纹法(Projection moiré)之主要精神在於藉由两道空间频率相近或相同的光栅相互叠加而成的效应,其中一道为参考光栅,而本研究中的参考光栅是以程式产生可调整不同空间频率的虚拟光栅;另一道则为投影至待测物表面的光栅影像,而在起伏高度不一的待测表面上的光栅影像会受到待测物表面起伏状况不同而在观测方向产生光栅投影条纹影像的歪曲变形,将电脑产生的参考光栅与由影像撷取装置所获取投影於待测物表面的光栅影像作叠合,便会产生所谓的叠纹效应;利用基本的光学干涉理论与叠纹效应结合,本研究中以相移法来改变投影於待测表面的光栅相位,再以相移法的理论反运算出在带有待测面各点高度资讯之介於-π,π相位主幅角,再以离散傅立叶转换解偏微分方程的相位重建程式还原待测面的相位值,以得知待测面之表面轮廓。

Periodic refractive index distribution of PRIG induced under SP mode was observed in polarization optical microscope.

基于SP和SS两种模式,制作了无明显表面起伏的纯折射率光栅和有表面起伏的浮雕光栅。

The correlation doesnt decide the behavior of fluctuations qualitatively;(5) PYTHIA can reproduce the relation between the Φpt and the measurements related to pt, but underestimate the fluctuations in all rapidity regions and also in the relation with multiplicity.

并且这种关联是正是负并不影响起伏的正负性质。K)PYTHIA能很好地描述实验上所观察到的起伏与横动量和相关测量量的关系,但是却不能描述与快度以及多重数的关系。

However, because the terrain of Taiwan is very special, the representation of the gravity model is not good enough to be used in engineering measurement.

中文摘要国内迄今探讨大地起伏之研究,大多利用重力法公式或地球重力场模型计算大地起伏值,因台湾地形特殊等因素,致使精度较低,无法满足工程测量精度要求。

The numerical solutions of neutral atoms with attractive interaction in a harmonic trap and a spherically symmetric well potential of depth infinite are calculated.

根据最近的BEC的动力学模型和主方程,用母函数方法求得玻色凝聚体主方程的解,并计算了凝聚体形成的增率与起伏,增率曲线存在一平台,而平台的粒子数起伏则是超泊松分布的。

Vaulters A's center of gravity undulates with slower speed than vaulter B's in its Locus; besides, the curve of the locus also shows that vaolter A has larger undulation. The slowness in speed and great scale of undulation are the direct Proofs that affect the score of A pole vaulter, s performance.

经研究分析的结果得到以下结论:一、从重心轨迹的曲线图可以发现A选手的起伏比B选手来得大,这个速度慢、起伏大即是影响最后助跑的水平速度与起跳插穴动作的连贯性与凖确性。

According to the modified Rytov method for the optical wave propagation and withconsidering the effect of the turbulence spectrum model with zero and non-zero innerscale in addition to the finite outer scale, the solution to the scintillation index as afunction of the Rytov variance is obtained from weak to strong fluctuation regions forGaussian beam propagation along the horizontal path.

根据光波传播的修正Rytov 方法,得到了高斯波束水平传输时在零内尺度湍流谱模型及考虑湍流内尺度效应和外尺度效应条件下,从弱起伏湍流区到强起伏湍流区闪烁指数随Rytov 方差变化的计算公式。

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