Abstract
A general method for mapping the equipotential profile surrounding a conductive cylindrically symmetric high aspect ratio structure, such as a carbon nanotube or a Spindt tip, is devised. The surface of the object is replaced by a discrete set of charges located on the symmetry axis. The overall electrostatic potential must satisfy a set of boundary conditions imposed on the original surface. The optimum number of charges is determined through an iterative self-validating process such that the obtained equipotential mimics the surface of the object. The method is exemplified by calculating the electric field enhancement factor for rounded cones and cylinders resembling Spindt tips and carbon nanotubes, respectively.
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