Feenstra, Randall Electrostatic Potential for a Hyperbolic Probe Tip near a Semiconductor The electrostatic potential resulting from a metallic probe tip near a semiconductor is examined. A solution is formulated assuming circular symmetry and using prolate spheroidal coordinates in the vacuum and Cartesian coordinates in the semiconductor. The result is most directly applied to the case of a hyperbolic probe tip, but other shapes (for example, a small hemispherical protrusion on the tip apex) can also be handled. Numerical results are given for representative cases that might be encountered in scanning probe microscopy. Physics 2003-01-01
    https://kilthub.cmu.edu/articles/journal_contribution/Electrostatic_Potential_for_a_Hyperbolic_Probe_Tip_near_a_Semiconductor/6506756
10.1184/R1/6506756.v1