An exact analytical solution based on the method of images has been obtained for the description of the electrostatic field in the system comrising of atomic force microscope (AFM)tip, dielectric, and conductor. The solution provides a step towards quantitative modelling of AFM-assisted electrostatic nanolithography in polymers.
@article{arxiv.cond-mat/0408247,
title = {Exact analytical solution for electrostatic field produced by biased atomic force microscope tip dwelling above dielectric-conductor bi-layer},
author = {Sergei F. Lyuksyutov and Ruslan A. Sharipov and Grigori Sigalov and Pavel B Paramonov},
journal= {arXiv preprint arXiv:cond-mat/0408247},
year = {2007}
}