Skip to content

Commit

Permalink
Fix typo
Browse files Browse the repository at this point in the history
  • Loading branch information
roflmaostc committed Feb 12, 2024
1 parent 9ebbbf4 commit 75f9a79
Showing 1 changed file with 1 addition and 1 deletion.
2 changes: 1 addition & 1 deletion docs/src/angle_derivation/refraction_inside_vial_resin.tex
Original file line number Diff line number Diff line change
Expand Up @@ -38,7 +38,7 @@
\varepsilon = \arccos\left(\frac{x^2 + R_i^2 - R_o^2}{2 R_i x}\right) - \frac{\pi}{2}.
\end{equation}
Further, $\beta'=\mathrm{sign}(y) \cdot (\frac{\pi}{2}- \varepsilon)$ and because of refraction $\gamma=\arcsin(\frac{n_\text{vial} \cdot \sin(\beta')}{n_\text{resin}})$.
The total ray deflection angles are given by $\delta_1=\alpha - \beta$ and $\delta_2=\beta-\gamma$ resulting in $\delta_\text{ges} = \delta_1 + \delta_2$.
The total ray deflection angles are given by $\delta_1=\alpha - \beta$ and $\delta_2=\beta'-\gamma$ resulting in $\delta_\text{ges} = \delta_1 + \delta_2$.

% $\Delta y$ indicates the height distance the ray propagates because of refraction on the vial interface and is given by $\Delta y = \sin(\delta_1) \cdot x$.
% The horizontal distance from beginning of the vial until intersection with the vial is given by $\Delta x = R_o - \sqrt{R_o^2-y^2}$.
Expand Down

0 comments on commit 75f9a79

Please sign in to comment.