Abstract

It is demonstrated that a non Abelian Stokes Theorem is necessary to describe the B3 field of radiation. A simple form of the theorem is build up from the fundamental definition of B3 in O(3) gauge field theory, which is a gauge field theory applied to electrodynamics with an O(3) internal gauge symmetry bases on a complex basis ((1), (2), (3)). The indices (1) and (2) are complex conjugate pairs based on circular polarization, and the index (3) is aligned with the propagation axis of radiation.