Polarizing and power properties of vector Gaussian-like beams. I. The homogeneous polarisation

The general expressions for the energy flux density of an electromagnetic field $\mathbf{S}$ vector Gaussian-like beams with homogeneous polarization are found. These results for the standard Hermite–Gauss beams are concretized. It is established that energy flows of light beams of Hermite–Gauss are divided into certain independent areas (domains). In each area energy flows are autonomous and into other areas do not pass.