Complex-Potential Analysis of a Slit Model in Electrowetting

Abstract

This study develops a complex-potential framework for the electric field near the Triple Contact Point in electrowetting. A global slit model provides the electrostatic potential, surface-charge structure and endpoint expansion. The resulting solution also gives an analytical approximation to the droplet shape and exhibits the characteristic edge singularity of the zero-contact-angle slit model.

arXiv comment7 pages, 4 figures. Revised to focus on the global slit model. The local contact-angle analysis is being prepared as a separate manuscript. The title and abstract have been updated accordingly