Airy beams on incoherent background

We present a class of diffraction-free partially coherent beams each member which is comprised finite power, non-accelerating Airy bump residing on statistically homogeneous, Gaussian-correlated background. examine free-space propagation soft apertured realizations the proposed and show that their evolution governed by two spatial scales: coherence width background aperture size. A relative magnitude these factors determines practical range distances over novel can withstand diffraction. The find applications to imaging optical communications through random media.