Circles in diffraction
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913350213959680 |
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| author | Korfanty, Emily R. Strungaru, Nicolae |
| author_facet | Korfanty, Emily R. Strungaru, Nicolae |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08215 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Circles in diffraction Korfanty, Emily R. Strungaru, Nicolae Classical Analysis and ODEs Mathematical Physics 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. |
| title | Circles in diffraction |
| topic | Classical Analysis and ODEs Mathematical Physics |
| url | https://arxiv.org/abs/2405.08215 |