The paper presents a review of the Wigner distribution function (WDF) and of some of its
applications to optical problems, especially in the field of partial coherence. The WDF …

The reduced scalar Helmholtz equation for a transversely inhomogeneous half‐space
supplemented with an outgoing radiation condition and an appropriate boundary condition …

Publisher Summary This chapter discusses the wave propagation theories in random media
based on the path-integral approach. The chapter focuses on the connection between the …

A series expression is developed for the fourth moment of a beamed field incident on a
random phase screen or an extended medium. The series has a symmetry that allows its first …

We demonstrate that a recently derived approximate solution to the fourth-moment equation
that was thought to be Valid only for strong scattering is in fact valid for all values of the …

An approximate solution is presented for the fourth moment equation that describes
fluctuations of intensity in a wave propagating through a randomly fluctuating medium. The …

We present a numerical solution for the fourth-order coherence function of a plane wave
propagating in a random medium. The random medium is taken to be two dimensional …

The recently formulated stochastic geometrical theory of diffraction combines localization
and transport of high-frequency fields and their statistical measures along the geometrical …

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 …

It has been previously proposed to describe wave propagation in inhomogeneous media in
a small-angle approximation with the aid of a double weighted Fourier transform (DWFT) …