Intensity Moments of a Laser Beam Formed by Superposition of   Hermite-Gaussian Modes
  Expressions are obtained for the Wigner function moments of a paraxial light beam represented by arbitrary coherent superposition of Hermite-Gaussian beams with plane wave fronts. Possibilities are discussed for application of the obtained results to modeling real laser beams and to design of optical systems implementing prescribed transformations of a beam transverse structure. 
A. Ya. Bekshaev