Basic full Gaussian wave

Abstract

The field of a point source of suitable strength with the location coordinates in the complex space reproduces the fundamental Gaussian beam in the paraxial approximation. The resulting full wave is designated the basic full Gaussian wave. The vector potential that generates the basic full Gaussian wave is obtained. The resulting electromagnetic fields are found, the radiation intensity distribution is determined, and its characteristics are described. The time-averaged power transported by the basic full Gaussian wave in the +z and the -z directions is obtained. This power increases monotonically and approaches the limiting value of the fundamental Gaussian beam as kw0 is increased. The surface electric current density on the secondary source plane z = 0 is deduced. In the paraxial approximation, this electric current density reduces to the source electric current density that generates the fundamental Gaussian beam. In the paraxial approximation, both the fundamental Gaussian wave and the basic full Gaussian wave reduce to the same fundamental Gaussian beam. The complex power is evaluated and the reactive power is determined. For the basic full Gaussian wave, the reactive power is infinite. In contrast, for the corresponding paraxial beam, namely the fundamental Gaussian beam, the reactive power vanishes.