mirror of
https://gitlab.science.ru.nl/mthesis-edeboone/m.internship-documentation.git
synced 2024-11-12 18:43:30 +01:00
WuotD: Still Missing Introduction
This commit is contained in:
parent
10ecbd7d75
commit
ef53add86d
1 changed files with 279 additions and 13 deletions
|
@ -15,6 +15,7 @@
|
|||
\usepackage{graphicx}
|
||||
\usepackage{tikz}
|
||||
\usepackage{xurl}
|
||||
\usepackage{physics}
|
||||
\graphicspath{{.}{./figures/}{../../figures/}}
|
||||
\usepackage{todo}
|
||||
|
||||
|
@ -26,6 +27,7 @@
|
|||
{\usebibmacro{citeindex}%
|
||||
\usebibmacro{cite}
|
||||
\newunit
|
||||
\clearfield{eprintclass}
|
||||
\usebibmacro{eprint}}
|
||||
{\multicitedelim}
|
||||
{\usebibmacro{postnote}}
|
||||
|
@ -95,25 +97,50 @@
|
|||
\def\thesissubtitle{}
|
||||
\def\thesisauthorfirst{E.T.}
|
||||
\def\thesisauthorsecond{de Boone}
|
||||
\def\thesisauthoremail{}
|
||||
\def\thesisauthoremailraw{ericteunis@deboone.nl}
|
||||
\def\thesisauthoremail{\href{mailto:\thesisauthoremailraw}{\thesisauthoremailraw}}
|
||||
\def\thesissupervisorfirst{dr. Harm}
|
||||
\def\thesissupervisorsecond{Schoorlemmer}
|
||||
\def\thesissupervisoremail{}
|
||||
\def\thesissupervisoremailraw{}
|
||||
\def\thesissupervisoremail{\href{mailto:\thesissupervisoremailraw}{\thesissupervisoremailraw}}
|
||||
|
||||
\title[]{Enhancing Timing Accuracy in Air Shower Radio Detectors}
|
||||
\title[\thesistitle]{\thesistitle}
|
||||
|
||||
\date{July, 2023}
|
||||
|
||||
\author[\thesisauthorfirst\space\thesisauthorsecond]{%
|
||||
\thesisauthorfirst\space\thesisauthorsecond\thanks{\thesisauthoremail}\\
|
||||
\vspace*{2em}
|
||||
{Supervisor: \thesissupervisorfirst\space\thesissupervisorsecond\thanks{\thesissupervisoremail} }
|
||||
\texorpdfstring{\thesisauthorfirst\space\thesisauthorsecond\thanks{e-mail: \thesisauthoremail}\\
|
||||
\vspace*{0.5em}
|
||||
{Supervisor: \thesissupervisorfirst\space\thesissupervisorsecond }
|
||||
}{\thesisauthorfirst\space\thesisauthorsecond<\thesisauthoremailraw>}
|
||||
}
|
||||
|
||||
% >>> Meta data
|
||||
|
||||
\newcommand{\tclock}{\ensuremath{t_\mathrm{clock}}}
|
||||
\newcommand{\ns}{\ensuremath{\mathrm{ns}}}
|
||||
|
||||
\newcommand{\pTrue}{\phi}
|
||||
\newcommand{\PTrue}{\Phi}
|
||||
\newcommand{\pMeas}{\varphi}
|
||||
|
||||
\newcommand{\pTrueEmit}{\pTrue_0}
|
||||
\newcommand{\pTrueArriv}{\pTrueArriv'}
|
||||
\newcommand{\pMeasArriv}{\pMeas_0}
|
||||
\newcommand{\pProp}{\pTrue_d}
|
||||
\newcommand{\pClock}{\pTrue_c}
|
||||
|
||||
\begin{document}
|
||||
{ % Titlepage <<<
|
||||
\setbeamertemplate{background}
|
||||
{%
|
||||
\parbox[c][\paperheight][c]{\paperwidth}{%
|
||||
\centering%
|
||||
\vfill%
|
||||
\includegraphics[width=\textwidth]{beacon/array_setup_gps_transmitter_cows.png}%
|
||||
\vspace*{2em}
|
||||
}%
|
||||
}
|
||||
\setbeamertemplate{footline}{} % no page number here
|
||||
\frame{ \titlepage }
|
||||
} % >>>
|
||||
|
@ -121,18 +148,72 @@
|
|||
%%%%%%%%%%%%%%%
|
||||
% Start of slides <<<
|
||||
%%%%%%%%%%%%%%%
|
||||
\section{Cosmic Particles}% <<<<
|
||||
\section{Cosmic Particle Detection}% <<<<
|
||||
% Sources, Types, Propagation, Observables
|
||||
% Flux -> Large instrumentation area
|
||||
% Detection methods of Auger
|
||||
% - FD, SD
|
||||
% AERA / AugerPrime RD or GRAND
|
||||
\begin{frame}
|
||||
\begin{frame}{Ultra High Energy particles}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Air Showers}
|
||||
% Observables
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{UHE particle flux}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Detection methods}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Radio Emission}
|
||||
\end{frame}
|
||||
|
||||
|
||||
% >>>>
|
||||
\section{Radio Interferometry}% <<<<
|
||||
\begin{frame}
|
||||
\begin{frame}{Radio Interferometry: Concept}
|
||||
Interferometry: Amplitude + Timing information of the $\vec{E}$-field\\
|
||||
\vspace*{ 0.8em }
|
||||
\begin{columns}
|
||||
\begin{column}{0.4\textwidth}
|
||||
\begin{figure}
|
||||
\includegraphics<1>[width=\textwidth]{radio_interferometry/rit_schematic_base.pdf}%
|
||||
\includegraphics<2>[width=\textwidth]{radio_interferometry/rit_schematic_far.pdf}%
|
||||
\includegraphics<3>[width=\textwidth]{radio_interferometry/rit_schematic_close.pdf}%
|
||||
\includegraphics<4>[width=\textwidth]{radio_interferometry/rit_schematic_true.pdf}%
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\begin{column}{0.6\textwidth}
|
||||
\vspace*{\fill}
|
||||
\begin{itemize}
|
||||
\item<1-> Measure signal $S_i(t)$ at antenna $\vec{a_i}$
|
||||
|
||||
\item<2-> Calculate light travel time \\[5pt]
|
||||
\quad $\Delta_i(\vec{x}) = \frac{ \left| \vec{x} - \vec{a_i} \right| }{c} n_{eff}$
|
||||
|
||||
\item<2-> Sum waveforms accounting \\
|
||||
for time delay \\[5pt]
|
||||
\quad $S(\vec{x}, t) = \sum S_i( t + \Delta_i(\vec{x}) )$
|
||||
\end{itemize}
|
||||
\vspace*{\fill}
|
||||
\begin{figure}% Spatially
|
||||
\includegraphics<1>[width=0.8\textwidth]{radio_interferometry/single_trace.png}%
|
||||
\includegraphics<2>[width=0.8\textwidth]{radio_interferometry/trace_overlap_bad.png}%
|
||||
\includegraphics<3>[width=0.8\textwidth]{radio_interferometry/trace_overlap_medium.png}%
|
||||
\includegraphics<4>[width=0.8\textwidth]{radio_interferometry/trace_overlap_best.png}%
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Radio Interferometry: Image}
|
||||
\begin{figure}
|
||||
\centering
|
||||
\includegraphics[width=0.7\textwidth]{2006.10348/fig01.png}%
|
||||
\imagecite{Schoorlemmer:2020low}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
% >>>>
|
||||
|
@ -140,7 +221,32 @@
|
|||
% GNSS
|
||||
% reference system: White Rabbit, AERA beacon, (ADS-B?)
|
||||
% GRAND setup and measurements
|
||||
\begin{frame}
|
||||
\begin{frame}{Timing in Radio Detectors: GNSS}
|
||||
% Geometry
|
||||
Default Timing mechanism: Global Navigation Satellite Systems\\
|
||||
\begin{columns}
|
||||
\begin{column}{0.5\textwidth}
|
||||
\vfill
|
||||
\begin{figure}
|
||||
\begin{tikzpicture}[scale=1]
|
||||
\clip (2.5 , 0) rectangle ( 6, 2.5);
|
||||
\node[anchor=south west, inner sep=0] (image) at (0,0) {\includegraphics[width=\textwidth]{beacon/array_setup_gps_transmitter_cows.png}};
|
||||
%\draw[help lines,xstep=1,ystep=1] (0,0) grid (11,5);
|
||||
\end{tikzpicture}
|
||||
\imagecredit{H. Schoorlemmer}
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\hfill
|
||||
\begin{column}{0.45\textwidth}
|
||||
In AERA, $ \Delta \tclock \gtrsim 10\ns$
|
||||
\\
|
||||
\begin{figure}
|
||||
\centering
|
||||
\includegraphics[width=\textwidth]{gnss/auger/1512.02216.figure3.gnss-time-differences.png}
|
||||
\imagecite{PierreAuger:2015aqe}
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
% >>>>
|
||||
|
@ -148,13 +254,173 @@
|
|||
% Geometry
|
||||
% Pulse method + SNR
|
||||
% Sine method + SNR
|
||||
\begin{frame}
|
||||
\begin{frame}{Beacon Synchronisation}
|
||||
% Geometry
|
||||
\vspace*{0em}
|
||||
{
|
||||
{ \color{red} GNSS }
|
||||
+
|
||||
Extra Timing mechanism: {\color{blue} Beacon}%, {\color{green} ADS-B}
|
||||
}
|
||||
\\
|
||||
\vspace*{2em}
|
||||
\begin{figure}
|
||||
\hspace*{-2em}
|
||||
\begin{tikzpicture}
|
||||
[circle/.style={circle, ultra thick, radius=8mm}]
|
||||
\node[anchor=south west, inner sep=0] (image) at (0,0) {\includegraphics[width=\textwidth]{beacon/array_setup_gps_transmitter_cows.png}};
|
||||
\begin{scope}[x={(image.south east)}, y={(image.north west)}]
|
||||
%\draw[help lines,xstep=.1,ystep=.1] (0,0) grid (1,1);
|
||||
%\foreach \x in {0,1,...,9} { \node [anchor=north] at (\x/10,0) {0.\x}; }
|
||||
%\foreach \y in {0,1,...,9} { \node [anchor=east] at (0,\y/10) {0.\y}; }
|
||||
\node (transmitter) at (0.23, 0.32) {};
|
||||
\node (gnss) at (0.85, 0.87) {};
|
||||
%\node (aeroplane) at (0.3, 0.67) {\includegraphics[width=1.5cm]{templates/aeroplane.png}};
|
||||
%\draw[green, ultra thick, visible on=<{1-}>] (aeroplane.center) circle[radius=8mm];
|
||||
\draw[red, ultra thick, visible on=<{1-}>] (gnss.center) circle[radius=8mm];
|
||||
\draw[blue, ultra thick, visible on=<{1-}>] (transmitter.center) circle[radius=8mm];
|
||||
\end{scope}
|
||||
\end{tikzpicture}
|
||||
\imagecredit{H. Schoorlemmer}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\subsection{Pulse Beacon}
|
||||
\begin{frame}{Pulse Beacon}
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{pulse/antenna_signals_tdt0.2_zoom.pdf}
|
||||
\end{figure}
|
||||
\vfill
|
||||
\end{frame}
|
||||
\begin{frame}{Pulse Beacon}
|
||||
Correlation: similarity between two signals.\\
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{pulse/correlation_tdt0.2_zoom.pdf}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
\begin{frame}{Pulse Beacon Timing}
|
||||
\begin{figure}
|
||||
\includegraphics[width=0.8\textwidth]{pulse/time_res_vs_snr_multiple_dt_small.pdf}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\subsection{Sine Beacon}
|
||||
\begin{frame}{(Multi)Sine Beacon}
|
||||
\begin{equation*}
|
||||
\Delta \tclock = \left[ \frac{\varphi}{2\pi} \; + \; k \right] T
|
||||
\end{equation*}
|
||||
\begin{figure}
|
||||
\includegraphics[width=.45\textwidth]{methods/fourier/waveform.pdf}
|
||||
\hfill
|
||||
\includegraphics[width=.45\textwidth]{methods/fourier/noisy_spectrum.pdf}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
\begin{frame}{(Multi)Sine Beacon Timing}
|
||||
\begin{figure}
|
||||
\includegraphics[width=0.8\textwidth]{beacon/time_res_vs_snr.pdf}
|
||||
\end{figure}
|
||||
\begin{columns}
|
||||
\begin{column}{0.3\textwidth}
|
||||
\end{column}
|
||||
\begin{column}{0.7\textwidth}
|
||||
\tiny\begin{equation*}
|
||||
p_\PTrue(\pTrue; s, \sigma) =
|
||||
\frac{ e^{-\left(\frac{s^2}{2\sigma^2}\right)} }{ 2 \pi }
|
||||
+
|
||||
\sqrt{\frac{1}{2\pi}}
|
||||
\frac{s}{\sigma}
|
||||
e^{-\left( \frac{s^2}{2\sigma^2}\sin^2{\pTrue} \right)}
|
||||
\frac{\left(
|
||||
1 + \erf{ \frac{s \cos{\pTrue}}{\sqrt{2} \sigma }}
|
||||
\right)}{2}
|
||||
\cos{\pTrue}
|
||||
\end{equation*}
|
||||
|
||||
\tiny{Random Phasor Sum: ``Statistical Optics'', J. Goodman}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
|
||||
\end{frame}
|
||||
|
||||
% >>>>
|
||||
\section{Single Sine Synchronisation}% <<<<
|
||||
% Sine method + Radio Interferometry
|
||||
\begin{frame}
|
||||
\begin{frame}{Single Sine Synchronisation}
|
||||
\begin{figure}
|
||||
%\centering
|
||||
\hspace*{-5em}
|
||||
\includegraphics<1>[width=1.3\textwidth]{beacon/08_beacon_sync_timing_outline.pdf}%
|
||||
\includegraphics<2>[width=1.3\textwidth]{beacon/08_beacon_sync_synchronised_outline.pdf}%
|
||||
\includegraphics<3>[width=1.3\textwidth]{beacon/08_beacon_sync_synchronised_period_alignment.pdf}%
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Single Sine Synchronisation Simulation}
|
||||
Air Shower detected on a grid of 100x100 antennas.
|
||||
|
||||
\begin{columns}
|
||||
\begin{column}{0.5\textwidth}
|
||||
\begin{itemize}
|
||||
\item Add beacon to antenna
|
||||
\item Randomise clocks
|
||||
\item Measure phase
|
||||
\item Repair clocks for small offsets
|
||||
\item Iteratively find best $k_{ij}$
|
||||
\end{itemize}
|
||||
\end{column}
|
||||
\hfill
|
||||
\begin{column}{0.4\textwidth}
|
||||
\begin{figure}
|
||||
\includegraphics<1>[width=\textwidth]{ZH_simulation/ba_measure_beacon_phase.py.A74.no_mask.pdf}%
|
||||
\includegraphics<2>[width=\textwidth]{ZH_simulation/ba_measure_beacon_phase.py.A74.masked.pdf}%
|
||||
\end{figure}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Simulation: Period $k_i$}
|
||||
\small{
|
||||
Interferometry while allowing to shift by $T = 1/f_\mathrm{beacon}$
|
||||
\\
|
||||
Iterative process: \\
|
||||
\; Scan positions finding the best $\{k_i\}$ set, then zoom in on strongest.
|
||||
}
|
||||
|
||||
\only<1-4>{\begin{figure}
|
||||
\includegraphics<1>[width=0.8\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.run0.i5.loc8.0-2795.4-7816.0.pdf}
|
||||
\includegraphics<2>[width=0.8\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.run0.i99.loc8.0-2795.4-7816.0.pdf}
|
||||
\includegraphics<3>[width=0.8\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run0.pdf}
|
||||
\includegraphics<4>[width=0.8\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run0.power.pdf}
|
||||
\end{figure}}
|
||||
\only<5>{\begin{figure}
|
||||
\includegraphics[width=0.45\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run0.pdf}
|
||||
\hfill
|
||||
\includegraphics[width=0.45\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run0.power.pdf}
|
||||
\vspace{0.5cm}
|
||||
\includegraphics[width=0.45\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run1.pdf}
|
||||
\hfill
|
||||
\includegraphics[width=0.45\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run1.power.pdf}
|
||||
\end{figure}}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}{Time resolving short period beacon: phase vs full}
|
||||
\begin{columns}
|
||||
\begin{column}{0.45\textwidth}
|
||||
{ Phase reparation }
|
||||
\includegraphics[width=\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_phases.axis.trace_overlap.repair_phases.pdf}%
|
||||
\vfill
|
||||
\includegraphics[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_phases.scale4d.pdf}%
|
||||
\label{fig:sine:repairments}
|
||||
\end{column}
|
||||
\hfill
|
||||
\begin{column}{0.45\textwidth}
|
||||
{ Phase + Period reparation }
|
||||
\includegraphics[width=\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_full.axis.trace_overlap.repair_full.pdf}%
|
||||
\vfill
|
||||
\includegraphics[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_all.scale4d.pdf}%
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
% >>>>
|
||||
|
@ -163,7 +429,7 @@
|
|||
% Outlook: Parasitic/Active vs Pulse/Sine table
|
||||
% Parasitic Single Sine: 67MHz Auger
|
||||
% Implementation for GRAND?
|
||||
\begin{frame}
|
||||
\begin{frame}{Conclusion and Outlook}
|
||||
\end{frame}
|
||||
|
||||
% >>>>
|
||||
|
|
Loading…
Reference in a new issue