Overfelt P L
Research Department, Naval Air Warfare Center Weapons Division, China Lake, California 93555, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036603. doi: 10.1103/PhysRevE.64.036603. Epub 2001 Aug 27.
Helical harmonic solutions of Laplace's equation are derived using a right-handed nonorthogonal helical coordinate system and a modified separation of variables technique. Unlike the Cartesian or cylindrical coordinate systems, in the helical system, two different sets of solutions are admitted, one right handed and one left handed. Consequently, the helical harmonics are used to solve the boundary value problem of two nested helices with different radii set to different potential values.
利用右手非正交螺旋坐标系和改进的变量分离技术推导了拉普拉斯方程的螺旋调和解。与笛卡尔坐标系或柱坐标系不同，在螺旋坐标系中，存在两组不同的解，一组是右手螺旋解，另一组是左手螺旋解。因此，螺旋调和函数被用于求解两个半径不同且设定为不同电势值的嵌套螺旋的边值问题。
