Abstract:
The solutions of the parabolic equation describing Arnaud’s scalar paraxial light Gaussian beams with complex
astigmatism are investigated. The admissible values of free parameters at which such beams carry finite power and are
physically realizable have been specified. The explicit expressions describing the properties of an elliptical light spot, its
deformation and rotation as it propagates are proposed. The graphical modeling and the corresponding analysis of intensity
ellipses are performed.