Wigner picture of partially coherent accelerating beams
Optics
2026-01-19 v1 Mathematical Physics
math.MP
Abstract
We advance a phase-space theory of partially coherent accelerating, non-diffracting beams employing the Wigner distribution function (WDF). We derive a general expression for the WDF of any accelerating, diffraction-free beam of arbitrary degree of spatial coherence and find an elegant closed-form expression for the WDF of such beam with a Gaussian energy spectrum of noise. We also show how partially coherent accelerating beams of finite power can be constructed within the Wigner picture.
Keywords
Cite
@article{arxiv.2601.11416,
title = {Wigner picture of partially coherent accelerating beams},
author = {Sergey A. Ponomarenko and Morteza Hajati},
journal= {arXiv preprint arXiv:2601.11416},
year = {2026}
}