1. Sergey Antipov antipov@anl.gov
Simulations
Sergey Antipov

2. Simulation geometry 2000 V 24 μ insulation Conductor thickness is 1 μ
Pore length is 480 μ (20:1)
Background ε=4, inside the pore ε=1.
Shell conductivity - varies
ground

3. results 127 MΩ resistance of a single pore
Question: Is quoted number of 100 MΩ for a single pore or the whole assembly. How many pores are there?
Streamlines – electric field. Color of the streamline corresponds to the magnitude of Ez.
For a low conductivity (high resistance) pore does not change the direction of electric field much. z

4. Zoom in 127 MΩ Streamlines – electric field.
Refraction of the field lines corresponds to the difference in dielectric constant of a substrate (ε=4) and the pore (air/vacuum)

5. Previous case with 1012 times lower resistance
For an extremely high values of conductivity (low resistance = short) pore forces electric field to align
Streamlines – electric field.

6. 6 pores 127 MΩ each
Streamlines – electric field.