$Circles in diffraction$

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 look at some applications of this formula.

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Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2024-05
Hauptverfasser:	Korfanty, Emily R, Strungaru, Nicolae
Format:	Artikel
Sprache:	eng
Schlagworte:	Diffraction Fourier transforms
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422