AC Conduction Solver

To generate an conductance matrix associated with a lossy transmission line, the software uses the AC conduction solver to compute the energy stored in the electric fields and energy losses in dielectrics (the electric scalar potential), , at all points in the problem region. It then derives the E-field, D-field, and the current density j from .

The solver uses the following equation to calculate the fields:

where:

• is the angular frequency at which the potential is oscillating.
• is conductivity.
• is permittivity.
• is the electric field, E.

The equation above is derived from the current continuity equation:

where J is the total current density given by: