An exact integrodifferential equation is derived for a certain transform of the four-point
coherence function by using a two-scale embedding procedure. The solution is expanded in …

Numerical solutions of the plane-wave fourth-moment differential equation are obtained for a
two-dimensional homogeneous and isotropic random medium that is characterized by a …

Numerical solutions of the fourth-moment differential equation are obtained for a finite,
initially Gaussian beam propagating in a. two-dimensional homogeneous and isotropic …

A direct calculation of the normalized variance of irradiance for a beam wave of arbitrary
aperture and focus in strong saturation employs a generalized function interpretation of the …

The variance of the irradiance scintillations of a wave that propagates in a random medium
is calculated by using the extended Huygens–Fresnel principle (EHFP) and then compared …

The differential equation for the fourth-order statistical moment of the field of a finite beam
propagating in a statistically homogeneous and isotropic two-dimensional random medium …

A comprehensive and rigorous analydis of the prevalent version of the two-scale expansion
used tosolve the fourth-moment equation shows that it is not an asymptotic technique. The …

The differential equation for the fourth-order statistical moment of the field of a plane wave
propagating in a two-dimensional random medium is solved numerically. Results are …

ABSTRACT A closed set of three simultaneous partial differential equations is derived for the
solution of the average irradiance and the irradiance variance of focused laser beams in a …

In a previous paper [1] we obtained an asymptotic expression for the irradiance fluctuations
of a finite beam propagating in a random medium in the strong-scattering case (ie the …