:orphan:

.. admonition:: Work in Progress
   :class: warning

   This document is still under development and may change frequently.

=============================================
Perfect Electric Conductor Boundary Condition
=============================================

.. toctree::
   :maxdepth: 1
   :caption: Perfect Electric Conductor Boundary Condition

The perfect electric conductor (PEC) boundary condition is applied at boundaries with conducting materials, whose conductivity is assumed to be infinite. This is a good approximation at the boundaries with metals at high field frequencies. Under this boundary condition the tangential component of the electric field's amplitude at the boundary is set to zero:

.. math::
   \tilde{\mathbf{E}} \times \mathbf{n} = 0,

where :math:`\hat{\mathbf{n}}` is the unit vector normal to the boundary.