The behavior of electromagnetic fields at edges

The behavior of an electromagnetic field in the neighborhood of the common edge of angular dielectric or conducting regions is determined from the condition that the energy density must be integrable over any finite domain (the so-called edge condition). Two cases are treated in detail 1) A region consisting of a conducting wedge and two different dielectric wedges with a common edge. 2) A region consisting of two different dielectric wedges with a common edge. It is also shown that near such edges, electrostatic and magnetostatic fields will exhibit the same behavior as the electromagnetic field.