  A new type of exact solutions of the full 3 dimensional spatial Helmholtz
equation for the case of non-paraxial Gaussian beams is presented here. We
consider appropriate representation of the solution for Gaussian beams in a
spherical coordinate system by substituting it to the full 3 dimensional
spatial Helmholtz Equation. Analyzing the structure of the final equation, we
obtain that governing equations for the components of our solution are
represented by the proper Riccati equations of complex value, which has no
analytical solution in general case. But we find one of the possible exact
solution which is proved to satisfy to such an equations for Gaussian beams.
Decreasing of the amplitude A of presented solution up to the zero (at the
appropriate meaning of angle parameter) could be associated with the existence
of an optical vortex at this point. Optical vortex (also known as a
"dislocation in wave trains") is a zero of an optical field, a point of zero
intensity.
