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Potentials for chambers made of wires and planes are computed using a variety of potential_functions.
Cartesian coordinates are also used for field maps, even if the map is of the axially symmetric (r,z) type. The potentials for field maps are polynomially interpolated in triangular, tetrahedric or rectangular coordinates, as appropriate.
(x,y) = exp(rho,phi)
Most of the commands translate the internal coordinates to polar coordinates, but procedures as a rule don't do this. A set of procedures has been provided for these transformations: CARTESIAN_TO_POLAR, CARTESIAN_TO_INTERNAL, INTERNAL_TO_CARTESIAN, INTERNAL_TO_POLAR, POLAR_TO_CARTESIAN and POLAR_TO_INTERNAL.
Potentials in round tubes are computed using the conformal mapping:
z - z0 z = ----------- 1 - z0bar zwhich maps z0 to 0 and which maps the unit circle onto itself.
Potentials in polygonal tubes are computed by mapping the centre of the tube to a round tube, while the edges are
Formatted on 0103-05-16 at 14:04.