From ed18df8c3208c2328658d14fc5dc1d7c8af75dc2 Mon Sep 17 00:00:00 2001
From: Eric Teunis de Boone <ericteunis@deboone.nl>
Date: Wed, 13 Jul 2022 12:13:11 +0200
Subject: [PATCH] thesis: substructuring airshower and timing

---
 documents/thesis/chapters/airshowers.tex | 13 +++++++++++++
 documents/thesis/chapters/timing.tex     | 17 ++++++++++++++++-
 2 files changed, 29 insertions(+), 1 deletion(-)

diff --git a/documents/thesis/chapters/airshowers.tex b/documents/thesis/chapters/airshowers.tex
index 47e8126..c88d1c7 100644
--- a/documents/thesis/chapters/airshowers.tex
+++ b/documents/thesis/chapters/airshowers.tex
@@ -4,5 +4,18 @@
 \chapter{Airshowers}
 \label{sec:airshowers}
 
+\section{Cosmic Rays}
+
+\section{Detectors}
+
+Pierre Auger,
+GRAND
+
+\subsection{Surface Detector}
+
+\subsection{Radio Detector}
+
+\section{Interferometry}
+Requires $\sigma_t \lesssim 1\ns$
 
 \end{document}
diff --git a/documents/thesis/chapters/timing.tex b/documents/thesis/chapters/timing.tex
index 9b75f80..d4bb75c 100644
--- a/documents/thesis/chapters/timing.tex
+++ b/documents/thesis/chapters/timing.tex
@@ -1,8 +1,23 @@
 \documentclass[../main.tex]{subfiles}
 
 \begin{document}
-\chapter{Timing}
+\chapter{Timing Mechanisms}
 \label{sec:timing}
+Need reference system with better accuracy,
 
 
+\section{Global Navigation Satellite System}
+$\sigma_t \sim 20 \ns$
+
+\section{White Rabbit}
+
+\section{Beacon}
+\subsection{Fourier Transform}
+\begin{equation}
+	\label{eq:fourier}
+	\hat{f}(\omega) = \frac{1}{2\pi} \int \dif{t}\, f(t)\, \exp(i \omega t)
+\end{equation}
+
+\subsection{Beacons in Airshower timing}
+
 \end{document}