静电偶极子无限阵列的电位

D. Waidelich
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引用次数: 1

摘要

研究了等静电偶极子无限阵列的特性,这些特性可以作为有限偶极子阵列的极限情况。最重要的特征是阵列的势,它是通过将数百个,数千个甚至更多偶极子的势相加得到的,以找到无限阵列的结果。首先考虑线性偶极子阵列,并给出了四个例子,偶极子的方向首先是垂直于阵列平面,然后是平行于阵列平面。此外,偶极子是在一个方向上拍摄的,而不是在相反方向上交替拍摄的。在不同的偶极子方向下,对几种平面表面阵列也得到了类似的结果
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The potential of infinite arrays of electrostatic dipoles
The characteristics of infinite arrays of equal electrostatic dipoles, which are useful as the limiting cases of finite dipole arrays, are studied. The most important characteristic is the potential of the array, which is obtained by summing the potentials of hundreds, thousands, or even more dipoles to find the result for an infinite array. Linear dipole arrays are considered first, and four examples are presented, with the direction of the dipoles taken first as perpendicular and then parallel to the plane of the array. In addition, dipoles were taken in one direction and than in alternately opposite directions. Similar results for several plane-surface arrays are presented with various dipole directions specified.<>
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