Analytical solutions for the electric field and dielectrophoretic force in a dielectrophoretic focusing electrode structure

The analysis of the movement of particles in a nonuniform field requires accurate knowledge of the electric field distribution. In this letter, the Schwarz-Christoffel mapping method is used to analytically solve the electric field distribution in a dielectrophoretic focusing electrode structure. The analytical result for the electric field distribution is validated by comparison with numerical simulations using the finite element method. The electric field solution is used to calculate the dielectrophoretic force on a particle in the system. (c) 2008 American Institue of Physics.