Xm. Deng et al., INVARIANT INTEGRAL AND STATISTICAL EQUATIONS OF PARAXIAL LIGHT-BEAM TRANSMISSION IN FREE-SPACE, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(5), 1997, pp. 546-554
The statistical behavior of arbitrary paraxial light beams propagating
in free space is investigated by using the Hermite-Gaussian expansion
method and Fock's representation. A series of equivalent Gaussian par
ameters for paraxial beam and the statistical equations for these para
meters are presented. The optical transmission problem in quasi-far fi
eld region is studied. The so-called general Hermite-Gaussian beam is
defined.