Update About
35
About.md
35
About.md
@ -1,41 +1,46 @@
|
||||
[Home page](ptychoScopy)
|
||||
|
||||
## Formulas
|
||||
##### Reconstruction probe window
|
||||
is given by
|
||||
## Formulas
|
||||
|
||||
Several restrictions and limitations described are based on comparison of set values with calculated limits. These are based on following formulas.
|
||||
|
||||
##### Reconstruction probe window
|
||||
|
||||
Electron probe shape can be reconstructed during iterative reconstruction, but its size (probe window) is limited by
|
||||
|
||||
```math
|
||||
w_{full} = \frac{\lambda \cdot CL_{eff}}{d_{eff}} [reference?]
|
||||
```
|
||||
where $`\lambda`$ is electron wavelength, $`CL_{eff}`$ the effective detector camera length and $`d_{eff}`$ the effective real space pixel size (including binning). $`w_{semi}`$ is then defined as $`w_{full}/2`$.
|
||||
|
||||
where $`\lambda`$ is electron wavelength, $`CL_{eff}`$ the effective detector camera length and $`d_{eff}`$ the effective real space pixel size (including binning). $`w_{semi}`$ is then defined as $`w_{full}/2`$.
|
||||
|
||||
##### Maximal usable defocus
|
||||
|
||||
##### Maximal usable defocus
|
||||
is given by
|
||||
|
||||
|
||||
```math
|
||||
\Delta f_{max} = \frac{w_{semi} - r_{0}}{\tan \alpha_{corr}} [to test]
|
||||
```
|
||||
|
||||
where $`w_{semi}`$ is probe semi-window, $`r_{0}`$ the beam radius with 0 defocus and $`\alpha_{corr}`$ the real probe semi-angle.
|
||||
|
||||
##### Pixel size in the reconstructed image
|
||||
##### Pixel size in the reconstructed image
|
||||
|
||||
is given by
|
||||
|
||||
```math
|
||||
pix_{ptycho} = \frac{lambda CL_{eff}}{N_{eff}d_{eff}} [reference]
|
||||
```
|
||||
|
||||
where $`\lambda`$ is electron wavelength, $`CL_{eff}`$ the effective detector camera length, $`N_{eff}`$ the number of effective pixels and $`d_{eff}`$ the effective real space pixel size.
|
||||
|
||||
|
||||
|
||||
## Tested packages
|
||||
|
||||
Proper widgets layout was tested in JupyterLab 4.0.8 and Python 3.11.5. The code was tested with packages:
|
||||
|
||||
- Numpy version 1.26.2
|
||||
- Scipy version 1.11.4
|
||||
- Plotly version 5.18.0
|
||||
- Pandas version 2.1.1
|
||||
- IPython version 7.31.1
|
||||
- Ipywidgets version 8.0.4
|
||||
- Numpy version 1.26.2
|
||||
- Scipy version 1.11.4
|
||||
- Plotly version 5.18.0
|
||||
- Pandas version 2.1.1
|
||||
- IPython version 7.31.1
|
||||
- Ipywidgets version 8.0.4
|
Reference in New Issue
Block a user