The solid angle at a point subtended by a circle
The solid angle at a point subtended by a circle
复制标题
圆所对点处的立体角
DOI：
10.1016/0016-0032(69)90061-1
复制
发表时间：
1969
影响因子：
4.1
通讯作者：
R. E. Rothe
中科院分区：
文献类型：
--
作者：
R. E. Rothe
计算半径为R的圆相对于任何点所对的立体角。立体角表示为与圆心法线的倾角θ和与圆心的距离λR的函数。结果给出的列表椭圆函数和相关的功能。对于几个λ值，给出了立体角作为倾角的函数的图。几个特殊的情况进行了讨论。
The solid angle subtended by a circle of radius R with respect to any point is calculated. The solid angle is expressed as a function of the inclination angle θ from the central normal to the circle and the distance λR from the center of the circle. The result is given in terms of tabulated elliptic and related functions. A graph of the solid angle as a function of the inclination angle is given for several values of λ. Several special cases are discussed.