Circles in diffraction
Classical Analysis and ODEs
2024-05-15 v1 Mathematical Physics
math.MP
Abstract
Given a Fourier transformable measure in two dimensions, we find a formula for the intensity of its Fourier transform along circles. In particular, we obtain a formula for the diffraction measure along a circle in terms of the autocorrelation measure. We look at some applications of this formula.
Cite
@article{arxiv.2405.08215,
title = {Circles in diffraction},
author = {Emily R. Korfanty and Nicolae Strungaru},
journal= {arXiv preprint arXiv:2405.08215},
year = {2024}
}
Comments
23 pages