Helical harmonics for static fields.
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.
Overfelt
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Research Department, Naval Air Warfare Center Weapons Division, China Lake, California 93555, USA.