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Thesis: random fixes introduction

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documents/thesis/chapters/introduction.tex
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@ -52,11 +52,11 @@ Unfortunately, aside from both being much less frequent, photons can be absorbed
% source / targets % source / targets
%} %}
\\ \\
\pagebreak[1]
%>>> %>>>
%\subsection{Air Showers}%<<< %\subsection{Air Showers}%<<<
\pagebreak[2] When a cosmic ray with an energy above $10^{3}\GeV$ comes into contact with the atmosphere, secondary particles are generated, forming an \gls{EAS}.
When a cosmic ray with an energy above $10^{3}\GeV$ comes into contact with the atmosphere, secondary particles are generated, forming an \gls{EAS}\Todo{EAS at energy?}.
This air shower consists of a cascade of interactions producing more particles that subsequently undergo further interactions. This air shower consists of a cascade of interactions producing more particles that subsequently undergo further interactions.
Thus, the number of particles rapidly increases further down the air shower. Thus, the number of particles rapidly increases further down the air shower.
This happens until the mean energy per particle is sufficiently lowered such that these particles are absorbed by the atmosphere. This happens until the mean energy per particle is sufficiently lowered such that these particles are absorbed by the atmosphere.
@ -93,7 +93,6 @@ The lifetime, and ease of penetration of relativistic muons allow them to propag
\label{fig:airshower:depth} \label{fig:airshower:depth}
\end{figure}%>>> \end{figure}%>>>
\pagebreak[2]
% Radio measurements % Radio measurements
Processes in an air showers also generate radiation that can be picked up as coherent radio signals. Processes in an air showers also generate radiation that can be picked up as coherent radio signals.
%% Geo Synchro %% Geo Synchro
@ -101,7 +100,7 @@ Due to the magnetic field of the Earth, the electrons in the air shower generate
Termed geomagnetic emission in Figure~\ref{fig:airshower:polarisation}, this has a polarisation that is dependent on the magnetic field vector ($\vec{B}$) and the air shower velocity ($\vec{v}$). Termed geomagnetic emission in Figure~\ref{fig:airshower:polarisation}, this has a polarisation that is dependent on the magnetic field vector ($\vec{B}$) and the air shower velocity ($\vec{v}$).
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%% Askaryan / Charge excess %% Askaryan / Charge excess
An additional mechanism emitting radiation was theorised by Askaryan\Todo{ref}. An additional mechanism emitting radiation was theorised by Askaryan\cite{Askaryan:1961pfb}.
Due to the large inertia of the positively charged ions with respect to their light, negatively charged electrons, a negative charge excess is created. Due to the large inertia of the positively charged ions with respect to their light, negatively charged electrons, a negative charge excess is created.
In turn, this generates radiation that is polarised radially towards the shower axis (see Figure~\ref{fig:airshower:polarisation}). In turn, this generates radiation that is polarised radially towards the shower axis (see Figure~\ref{fig:airshower:polarisation}).
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@ -154,7 +153,7 @@ Unfortunately, this timing accuracy is not continuously achieved by \glspl{GNSS}
For example, in the~\gls{AERA}, this was found to range up to multiple tens of nanoseconds over the course of a single day\cite{PierreAuger:2015aqe}. For example, in the~\gls{AERA}, this was found to range up to multiple tens of nanoseconds over the course of a single day\cite{PierreAuger:2015aqe}.
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\pagebreak[2] \pagebreak
% Structure summary % Structure summary
This thesis investigates a relatively straightforward method (and its limits) to improve the timing accuracy of air shower radio detectors This thesis investigates a relatively straightforward method (and its limits) to improve the timing accuracy of air shower radio detectors