Circles in diffraction

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 then look at some applications of this formula.

Authors

Publication Details

Journal
Canadian Mathematical Bulletin
Published
2026-03-02
DOI
https://doi.org/10.4153/s0008439526101854
Primary Topic
Quasicrystal Structures and Properties
Type
article
Field-Weighted Citation Impact
0.00

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article

Circles in diffraction

Nicolae Strungaru, Emily R. Korfanty
Canadian Mathematical Bulletin
Quasicrystal Structures and Properties
article

Circles in diffraction

Nicolae Strungaru, Emily R. Korfanty
article en

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 then look at some applications of this formula.

Canadian Mathematical Bulletin
Natural Sciences and Engineering Research Council of Canada
Openalex Percentile: Top 39%
Quasicrystal Structures and Properties
DOIOpen Access PDFOpenAlex
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Circles in diffraction — Nicolae Strungaru, Emily R. Korfanty · Canadian Mathematical Bulletin (2026) | TGRS Research Map | TGRS