Jk. Boyd, ELECTROSTATIC SCALAR POTENTIAL AND ELECTRIC-FIELD SOLUTION OF AN AXISYMMETRICAL ACCELERATOR GAP, Computer physics communications, 88(1), 1995, pp. 23-42
A computationally efficient formulation of the solution for the electr
ic potential and field due to an axisymmetric accelerator gap is deriv
ed. The potential solution is obtained from an accurate integration of
the Green function integral solution of Laplace's equation. This resu
lt provides information about the focusing properties of a gap, and ca
n be used to obtain forces needed in particle transport codes.