In the framework of generalized Lorenz-Mie theory, laser beams are des
cribed by sets of beam-shape coefficients. The modified localized appr
oximation to evaluate these coefficients for a focused Gaussian beam i
s presented. A new description of Gaussian beams, called standard beam
s, is introduced. A comparison is made between the values of the beam-
shape coefficients in the framework of the localized approximation and
the beam-shape coefficients of standard beams. This comparison leads
to new insights concerning the electromagnetic description of laser be
ams. The relevance of our discussion is enhanced by a demonstration th
at the localized approximation provides a very satisfactory descriptio
n of top-hat beams as well.