Signal-to-noise and spatial resolution in in-line imaging. 1. Basic theory, numerical simulations and planar experimental images

Gureyev, T.E.; Paganin, D.M.; Quiney, H.M.

doi:10.1107/S1600577524003886

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Figure 1
(a) Original transmission function, $[-{t_{\rm{in}}}({{\bf{r}}_{\bot}})]$ . (b) Noisy blurred detected fluence in the object plane, $[{S_{\rm{D}}}({{\bf{r}}_{\bot}},0)]$ . (c) Noisy blurred detected fluence in the image plane, $[{S_{\rm{D}}}({{\bf{r}}_{\bot}},R)]$ . (d) Distribution $[{S_{\rm{TIE}}}({{\bf{r}}_{\bot}},0)]$ , obtained by TIE-Hom phase retrieval from $[{S_{\rm{D}}}({{\bf{r}}_{\bot}},R)]$ . (e) Distribution $[{S_{{\rm{D}},{\rm{sim}}}}({{\bf{r}}_{\bot}},R)]$ , obtained by simulated free-space propagation of the homogeneous complex amplitude produced from $[{S_{\rm{D}}}({{\bf{r}}_{\bot}},0)]$ . (f) Distribution $[{S_{{\rm{TIE}},{\rm{sim}}}}({{\bf{r}}_{\bot}},0)]$ , obtained by TIE-Hom retrieval from $[{S_{{\rm{D}},{\rm{sim}}}}({{\bf{r}}_{\bot}},R)]$ .

JOURNAL OF
SYNCHROTRON
RADIATION

ISSN: 1600-5775

Volume 31| Part 4| July 2024| Pages 896-909

https://doi.org/10.1107/S1600577524003886

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