Clean working conditions

formulas/main.tex

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+\documentclass[preview]{standalone}
+\usepackage{siunitx}
+\usepackage{tikz}
+\usepackage[siunitx]{circuitikz}
+\usepackage{babel}
+\usepackage{acronym}
+\newcommand{\At}{A(z, t)}
+\newcommand{\Et}{E(z, t)}
+\newcommand{\Ew}{\tilde{E}(z, \omega)}
+\newcommand{\PNL}{\tilde{\mathrm{P}}^\mathrm{NL}}
+
+\begin{document}
+Complex envelope such that $|A|^2$ is in W with E in V/m~:
+\begin{equation}
+    \At = \sqrt{\frac12 \epsilon_0 c n A_\mathrm{eff}} \Et
+\end{equation}
+
+Equations with E in V/m
+\begin{equation}
+    \frac{\partial \Ew}{\partial z} = i\left(\beta(\omega) - \frac{\omega}{\nu} \right)\Ew + i \frac{\omega^2}{2c\epsilon_0 \beta(\omega)}\PNL(z, \omega)
+\end{equation}
+
+\begin{equation}
+    \tau = t - \frac{z}{\nu}
+    \,, \quad \xi = z
+    \,, \quad \frac{\partial}{\partial z} = -\frac1{\nu}\frac{\partial}{\partial \tau} + \frac{\partial}{\partial \xi} = -\frac{i \omega}{\nu} + \frac{\partial}{\partial \xi}
+    \,, \quad \frac{\partial}{\partial t} = \frac{\partial}{\partial \tau}
+\end{equation}
+$\Rightarrow$
+\begin{equation}
+    \frac{\partial \Ew}{\partial z} = i\beta(\omega)\Ew + i \frac{\omega^2}{2c\epsilon_0 \beta(\omega)}\PNL(z, \omega)
+\end{equation}
+
+\end{document}