Modeling of tunneling current at field emission display tips: for non-metallic tips and an analytic method of solving for electric fields

Schwarz-Christoffel conformal mapping is applied to calculate electric fields in field emission display tips for various tip radii and tip-to-tip distances. This method is much faster than numerical analysis methods. Tunneling currents from silicon tips are calculated including a band structure and band-bending. Wigner transport analysis is also suggested as a tunneling current prediction method for field emission display tips.