Update Formulas

Formulas.md

@@ -1,5 +1,26 @@
-```math
-window_{full} = \frac{\lambda \cdot CL_{eff}}{2\Delta _{eff}}
+#####  Reconstruction probe window
+is given by
 
+
+```math
+w_{full} = \frac{\lambda \cdot CL_{eff}}{2d_{eff}}
 ```
-where $\lambda $ is electron wavelength, $$: CL_{eff}
+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
+is given by
+
+
+```math
+\Delta f_{max} = \frac{w_{semi}  - r_{0}}{\tan \alpha_{corr}}
+```
+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
+is given by
+
+```math
+pix_{ptycho} = \frac{2\lambda CL_{eff}}{N_{eff}d_{eff}}
+```
+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.