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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| Format: | Artikel |
| Sprache: | eng |
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| 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. |
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| DOI: | 10.48550/arxiv.2405.08215 |