Effect of Conduction on Field Behavior Near Singular Points in Composite Medium Arrangements

The electric field configuration has been analyzed numerically by the charge simulation method near a contact point where two media having surface or volume conductivity meet an electrode. Surface conduction with uniform surface resistivity moderates the field singularity, resulting in a uniform field throughout both media for very low resistivity. On the other hand, volume conduction magnifies the field singularity if only one medium has conductivity. For these capacitive-resistive fields, it appears impossible to derive a simple analytical expression of field strength such as can be derived for purely capacitive cases.