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STEP-UP: as given on June 12 09:30
This commit is contained in:
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1 changed files with 211 additions and 154 deletions
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\usepackage{appendixnumberbeamer}
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\usepackage{graphicx}
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\usepackage{tikz}
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\usepackage{xurl}
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\graphicspath{{.}{./figures/}{../../figures/}}
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\usepackage{todo}
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\addbibresource{../../../bibliotheca/bibliography.bib}
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% Use arXiv identifier if available
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\DeclareCiteCommand{\arxivcite}
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{\usebibmacro{prenote}}
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{\usebibmacro{citeindex}%
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\usebibmacro{cite}
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\newunit
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\usebibmacro{eprint}}
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{\multicitedelim}
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{\usebibmacro{postnote}}
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\newcommand{\imagesource}[1]{~\\[0pt]\vspace*{-7pt}\hspace*{10pt}\hbox{\tiny#1}}
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\newcommand{\imagesource}[1]{~\\[0pt]\vspace*{-7pt}\hspace*{10pt}{\tiny#1}}
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\newcommand{\imagecredit}[1]{\imagesource{Credit:\thinspace#1}}
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\newcommand{\imagecite}[1]{\imagesource{\textcite{#1}}}
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\newcommand{\imagecite}[1]{\imagesource{\arxivcite{#1}}}
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% Disable Captions
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\setbeamertemplate{caption}{\raggedright\small\insertcaption\par}
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@ -38,14 +48,14 @@
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{%
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\leavevmode%
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\hbox{%
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\begin{beamercolorbox}[wd=.7\paperwidth,ht=2.25ex,dp=1ex,leftskip=1em,rightskip=1em,sep=0pt]{title in head/foot}%
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\begin{beamercolorbox}[wd=.7\paperwidth,ht=2.55ex,dp=1ex,leftskip=1em,rightskip=1em,sep=0pt]{title in head/foot}%
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\usebeamertemplate*{section in head/foot}%
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\hfill%
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\end{beamercolorbox}
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\begin{beamercolorbox}[wd=.1\paperwidth,ht=2.25ex,dp=1ex,sep=0pt]{my empty section}
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\begin{beamercolorbox}[wd=.1\paperwidth,ht=2.55ex,dp=1ex,sep=0pt]{my empty section}
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\hfill%
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\end{beamercolorbox}
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\begin{beamercolorbox}[wd=.2\paperwidth,ht=2.25ex,dp=1ex,leftskip=1em,rightskip=1em,sep=0pt]{page number in head/foot}%
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\begin{beamercolorbox}[wd=.2\paperwidth,ht=2.55ex,dp=1ex,leftskip=1em,rightskip=1em,sep=0pt]{page number in head/foot}%
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\hfill%
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\usebeamertemplate*{page number in head/foot}%
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\end{beamercolorbox}}%
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@ -79,8 +89,8 @@
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\title[STEP-UP: Interferometry in GRAND]{% and BEACON]{
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{ \large STEP'UP Interview}\\
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{
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Investigating interferometry in\\
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GRAND\footnote{Giant Radio Array for Neutrino Detection}
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Investigating interferometry in\\%
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GRAND\footnote{ Giant Radio Array for Neutrino Detection}
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% and BEACON\footnote{Beam forming Elevated Array for COsmic Neutrinos}
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}
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}
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@ -89,10 +99,10 @@
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\author[E.T. de Boone]{
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E.T. de Boone
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\\
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\vspace{2em}
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Advisors: Olivier Martineau, LPNHE\\
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\quad\quad\quad\quad\quad\, Harm Schoorlemmer, IMAPP
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% \\
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% \vspace{2em}
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% Advisors: Olivier Martineau, LPNHE\\
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% \quad\quad\quad\quad\quad\, Harm Schoorlemmer, IMAPP
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}
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\begin{document}
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@ -151,178 +161,164 @@
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\begin{column}{0.45\textwidth}
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\begin{figure}
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\hspace*{-1em}
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%\scriptsize{TODO: Xmax figure showing difference for photon/proton}
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%\includegraphics[width=\textwidth]{1607.08781/fig02b_longitudinal_shower_profile.png}%
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%\imagecite{Schroder:2016hrv}
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\includegraphics[width=\textwidth]{airshower/shower_development_depth_iron_proton_photon.pdf}%
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\imagecredit{H. Schoorlemmer}
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\end{figure}
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\end{column}
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\begin{column}{0.45\textwidth}
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Enhanced Xmax measurement with Interferometry\\
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$\mapsto$ composition measurement\\
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$\mapsto$ particle identification\\
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\begin{figure}
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\centering
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\includegraphics[width=\textwidth]{2006.10348/fig03_b.png}%
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\imagecite{Schoorlemmer:2020low}
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\end{figure}
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%photon/proton/Fe differences\\
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%\begin{figure}
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% \centering
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% \includegraphics[width=0.7\textwidth]{2006.10348/fig01.png}%
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% \imagecite{Schoorlemmer:2020low}
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%\end{figure}
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%\vspace*{1em}
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\end{column}
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\end{columns}
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\end{frame}
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\note[itemize]
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{
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\item Statistical discrimation: high Z at high altitudes
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\item FD claims 20 g/cm2, Fe/p ~ 50 g/cm2
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\item Radio Interferometry helps in Xmax measurement
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}
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% GRAND
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%%%%%%%%%%%%%%%
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\section{GRAND}
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\begin{frame}{Giant Radio Array for Neutrino Detection}
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%\begin{columns}
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% \begin{column}{0.45\textwidth}
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% \begin{figure}
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% \hspace*{-2em}
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% \includegraphics[width=1.3\textwidth]{grand/roadmap-per-2023-01-shortened.jpg}%
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% \end{figure}
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% \vfill
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% \end{column}
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% \hfill
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% \begin{column}{0.45\textwidth}
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\begin{figure}
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% \hspace*{-2em}
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\includegraphics[width=1\textwidth]{grand/GRAND-detection-principle-1.png}%
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\imagecite{GRAND:2018iaj}
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\end{figure}
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% \end{column}
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%\end{columns}
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%200 000 Radio Antennas $\mapsto$ largest Cosmic Ray observatory\\
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\end{frame}
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\note[itemize]
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{
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\item GRAND radio-only, heavy development
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\item pathfinders upto 2026 (Auger reference, Europe testbed, China array)
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\item ultra high energy has low hits, need large area
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}
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% RI in GRAND
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%%%%%%%%%%%%%
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%\section{Radio Interferometry}
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%\begin{frame}{Radio Interferometry}
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% \begin{columns}
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% \begin{column}{0.6\textwidth}
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% Enhanced measurements:
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% \begin{itemize}
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% \item Shower depth \\
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% $\mapsto$ composition measurement\\
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% \item Shower axis reconstruction
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% \item Detector noise suppression\\
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% \end{itemize}
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%
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% \vspace*{2em}
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%
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% Problem: synchronisation $\Delta t < \frac{1}{4f}$\\
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% \end{column}
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% \begin{column}{0.4\textwidth}
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% \begin{figure}
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% \centering
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% \includegraphics[width=\textwidth]{2006.10348/fig01_a.png}%
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% \imagecite{Schoorlemmer:2020low}
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% \end{figure}
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% \end{column}
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% \end{columns}
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%\end{frame}
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\section{Implementing Interferometry in GRAND}
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\begin{frame}{Time synchronisation}
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\section{Radio Interferometry and Timing}
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\begin{frame}{Effect of Timing Synchronisation}
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%\vspace*{-2em}
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Interferometry: Amplitude + Timing information of the $\vec{E}$-field\\
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\vspace*{ 0.8em }
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Required time accuracy $< \frac{1}{4f} \sim 1 \mathrm{ns}$ (GNSS $\gtrsim 5 \mathrm{ns}$)
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\vspace*{ 0.8em }
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%Problem: Interferometry requires $\Delta t < \frac{1}{4f}$\\
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%\vspace*{1em}
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Internship: \\
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\quad schemes to synchronise using extra physics band signal\\
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% \quad synchronisation with a single beacon in simulations\\ (algorithm)
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% \quad (pulse and single frequency)
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\vspace*{ 0.5em }
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\begin{columns}
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%\hfill
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\begin{column}{0.3\textwidth}
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\includegraphics[width=1.1\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_none.axis.trace_overlap.repair_none.pdf}%
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\begin{column}{0.4\textwidth}
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\vfill
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\includegraphics[width=1.1\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_none.scale4d.pdf}%
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\hyperlink{fig:sine:repairments}{\includegraphics[width=1.1\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_none.axis.trace_overlap.repair_none.pdf}}%
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\vspace*{\fill}
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\hyperlink{fig:sine:grid_power}{\includegraphics[width=1.1\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_none.scale4d.pdf}}
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\end{column}
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\hfill
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\begin{column}{0.3\textwidth}
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\includegraphics[width=1.1\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_phases.axis.trace_overlap.repair_phases.pdf}%
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\begin{column}{0.4\textwidth}
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\vfill
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\includegraphics[width=1.1\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_phases.scale4d.pdf}%
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\end{column}
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\hfill
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\begin{column}{0.3\textwidth}
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\includegraphics[width=1.1\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_full.axis.trace_overlap.repair_full.pdf}%
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\vfill
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\includegraphics[width=1.1\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_all.scale4d.pdf}%
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\hyperlink{fig:sine:repairments}{\includegraphics[width=1.1\textwidth]{radio_interferometry/trace_overlap/on-axis/dc_grid_power_time_fixes.py.repair_full.axis.trace_overlap.repair_full.pdf}}%
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\vspace*{\fill}
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\hyperlink{fig:sine:grid_power}{\includegraphics[width=1.1\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_all.scale4d.pdf}}%
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\end{column}
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\hfill
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\end{columns}
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\end{frame}
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\note{
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}
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\begin{frame}{Timing Synchronisation: Beacon}
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\begin{columns}
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\begin{column}{0.6\textwidth}
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\hspace*{1em}
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Required time accuracy $\sim 1 \mathrm{ns}$\\
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\vspace*{1em}
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\hspace*{1em}
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\visible<2->{
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\textcolor{red}{GNSS}, in Auger $\gtrsim 5 \mathrm{ns}$\\
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}
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\hspace*{1em}
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\vspace*{1em}
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\visible<2->{
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\textcolor{blue}{Beacon}: Pulse or Sine
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}
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\vspace*{\fill}
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\begin{figure}
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\hspace*{-2em}
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\begin{tikzpicture}
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\node[anchor=south west, inner sep=0] (image) at (0,0) {\includegraphics[width=0.8\textwidth]{beacon/array_setup_gps_transmitter_cows.png}};
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\node[anchor=south west, inner sep=0] (image) at (0,0) {\includegraphics[width=\textwidth]{beacon/array_setup_gps_transmitter_cows.png}};
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\begin{scope}[x={(image.south east)}, y={(image.north west)}]
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%\draw[help lines,xstep=.1,ystep=.1] (0,0) grid (1,1);
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%\foreach \x in {0,1,...,9} { \node [anchor=north] at (\x/10,0) {0.\x}; }
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%\foreach \y in {0,1,...,9} { \node [anchor=east] at (0,\y/10) {0.\y}; }
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\draw[red, ultra thick, visible on=<2>] (0.85,0.87) circle [radius=8mm];
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\draw[green, ultra thick, visible on=<3>] (0.23,0.32) circle [radius=8mm];
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\draw[red, ultra thick, visible on=<{2-}>] (0.85,0.87) circle [radius=8mm];
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\draw[blue, ultra thick, visible on=<{2-}>] (0.23,0.32) circle [radius=8mm];
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\end{scope}
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\end{tikzpicture}
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\imagecredit{H. Schoorlemmer}
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\end{figure}
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\end{column}
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\begin{column}{0.5\textwidth}
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\centering
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\vspace*{\fill}
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\onslide<3->{\hyperlink{fig:pulse:accuracy}{\includegraphics[width=\textwidth]{pulse/time_res_vs_snr_multiple_dt_small.pdf}}}%
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\vspace*{\fill}
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\onslide<3->{\hyperlink{fig:sine:accuracy}{\includegraphics[width=\textwidth]{beacon/time_res_vs_snr_f67.pdf}}}%
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\vspace*{\fill}
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\end{column}
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\end{columns}
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\end{frame}
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\note{
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Single frequency interest due to Auger (TV@67MHz)
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}
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\section{Radio Interferometry in GRAND}
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\begin{frame}{Radio Interferometry in GRAND}
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\begin{figure}
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\centering
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\only<1>{\hspace*{-2em}}
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\includegraphics<1>[width=1.13\textwidth]{grand/roadmap-per-2023-01-shortened.jpg}%
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\includegraphics<2->[width=0.5\textwidth]{grand/roadmap-per-2023-01-shortened.jpg}%
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\vspace*{\fill}
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\hspace*{-2em}
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\includegraphics[width=1.13\textwidth]{grand/roadmap-per-2023-01-shortened.jpg}%
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%\includegraphics<2->[width=0.5\textwidth]{grand/roadmap-per-2023-01-shortened.jpg}%
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\imagesource{Adapted from \url{https://grand.cnrs.fr/overview/roadmap/}}
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\end{figure}
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\end{frame}
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\only<2-> {
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Timing Requirements:\\
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\quad synchronisation schemes investigated in internship,\\
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\quad opportunity to implement and test (e.g.~Nan\c{c}ay)\\
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}
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% GRAND
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%%%%%%%%%%%%%%%
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%\note[itemize]
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%{
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% \item GRAND radio-only, heavy development
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% \item pathfinders upto 2026 (Auger reference, Europe testbed, China array)
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% \item ultra high energy has low hits, need large area
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%}
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\only<3-> {
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\vspace*{1em}
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Interferometric Analyses:\\
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\quad enhances Xmax resolution\\
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}
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\vspace{\stretch{100}}
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\begin{frame}{Radio Interferometry in GRAND in Conclusion}
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\begin{columns}
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\begin{column}{0.4\textwidth}
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\hspace*{-1.2em}
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\begin{figure}
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\vspace*{\fill}
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\vspace*{2.4em}
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\includegraphics[width=1\textwidth]{grand/roadmap-per-2023-01-shortened-prototyping.jpg}%
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\imagesource{Adapted from \url{https://grand.cnrs.fr/overview/roadmap/}}
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\vspace*{\fill}
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\end{figure}
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\end{column}
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\hspace*{-2em}
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\begin{column}{0.65\textwidth}
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\begin{enumerate}
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\item Timing Requirement in~Hardware\\
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\quad test beacon at Auger/GP300
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\vspace*{2em}
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\item Setup Interferometric Analyses\\
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\quad adapt to GRAND
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\vspace*{2em}
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\item Particle ID through Xmax\\
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and Shower Axis reconstruction
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\end{enumerate}
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\vspace*{1em}
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\end{column}
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\end{columns}
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\end{frame}
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% \only<2-> {
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% Timing Requirements:\\
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% \quad synchronisation schemes investigated in internship,\\
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% \quad opportunity to implement and test (e.g.~Nan\c{c}ay)\\
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% }
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%
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% \only<3-> {
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% \vspace*{1em}
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% Interferometric Analyses:\\
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% \quad enhances Xmax resolution\\
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% }
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%
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% \vspace{\stretch{100}}
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%\vspace*{2em}
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%GRAND Goals:\\
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@ -344,14 +340,12 @@
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% \end{center}
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% %\vspace{ 4em }
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% }
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\end{frame}
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%%%%%%%%%%%%%%%
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% Backup slides
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%%%%%%%%%%%%%%%
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\appendix
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\section{Supplemental material}
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\begin{frame}[c]
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\centering
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\Large {
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@ -361,6 +355,19 @@
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}
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\end{frame}
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\section*{Table of Contents}
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\begin{frame}{Table of Contents}
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\tableofcontents
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\end{frame}
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\begin{frame}{GRAND}
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\begin{figure}
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\includegraphics[width=1\textwidth]{grand/GRAND-detection-principle-1.png}%
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\imagecite{GRAND:2018iaj}
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\end{figure}
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\end{frame}
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\section{Radio Emission}
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\begin{frame}{Airshower development}
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\begin{figure}
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\includegraphics[width=0.9\textwidth]{1607.08781/fig02a_airshower+detectors.png}
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@ -368,7 +375,6 @@
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\end{figure}
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\end{frame}
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\subsection{Radio Emission}
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\begin{frame}{Polarised Radio Emission}
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\begin{columns}
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\begin{column}{0.2\textwidth}
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@ -395,7 +401,7 @@
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% \vfill
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\end{frame}
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\subsubsection{Radio Interferometry}
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\section{Radio Interferometry}
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\begin{frame}{Radio Interferometry: Concept}
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\begin{columns}
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\begin{column}{0.4\textwidth}
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@ -445,9 +451,52 @@
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\end{figure}
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\end{frame}
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||||
\section{Time Synchronisation}
|
||||
\subsection{Expected Time Accuracies vs SNR}
|
||||
\subsubsection{Sine}
|
||||
\begin{frame}{Sine wave: Accuracy}
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{beacon/time_res_vs_snr.pdf}
|
||||
\label{fig:sine:accuracy}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
\begin{frame}{Sine wave: SNR}
|
||||
\includegraphics[width=\textwidth]{ZH_simulation/signal_to_noise_definition.pdf}
|
||||
\end{frame}
|
||||
|
||||
\subsubsection{Pulse}
|
||||
\begin{frame}{Pulse Template}
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{pulse/time_res_vs_snr_multiple_dt.pdf}
|
||||
\label{fig:pulse:accuracy}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
\begin{frame}{Pulse Template: SNR}
|
||||
\begin{columns}
|
||||
\begin{column}{0.45\textwidth}
|
||||
\centering
|
||||
Signal to Noise
|
||||
\includegraphics[width=\textwidth]{pulse/antenna_signal_to_noise_6.pdf}
|
||||
\end{column}
|
||||
\hfill
|
||||
\begin{column}{0.45\textwidth}
|
||||
\centering
|
||||
Impulse Response
|
||||
\includegraphics[width=\textwidth]{pulse/filter_response.pdf}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
\begin{frame}{Pulse Template: Timing}
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{pulse/correlation_tdt0.2_zoom.pdf}
|
||||
\label{fig:pulse:correlation}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
|
||||
|
||||
%%%%%%%%%
|
||||
\subsection{Synchronisation: Single frequency beacon}
|
||||
\subsection{Single Frequency Beacon}
|
||||
\begin{frame}{Short period beacon synchronisation}
|
||||
\begin{figure}
|
||||
%\centering
|
||||
|
|
@ -459,16 +508,6 @@
|
|||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}{Time resolving short period beacon}
|
||||
\begin{figure}
|
||||
\centering
|
||||
\includegraphics<1>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_none.scale4d.pdf}
|
||||
\includegraphics<2>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_phases.scale4d.pdf}
|
||||
\includegraphics<3>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_all.scale4d.pdf}
|
||||
\includegraphics<4>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.no_offset.scale4d.pdf}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Time resolving short period beacon: phase vs full}
|
||||
\begin{columns}
|
||||
\begin{column}{0.45\textwidth}
|
||||
|
|
@ -476,6 +515,7 @@
|
|||
\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}
|
||||
|
|
@ -487,21 +527,19 @@
|
|||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\subsection{Synchronisation: Expected Time Accuracies vs SNR}
|
||||
\begin{frame}
|
||||
\begin{frame}{Time resolving short period beacon}
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{beacon/time_res_vs_snr.pdf}
|
||||
\centering
|
||||
\includegraphics<1>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_none.scale4d.pdf}
|
||||
\includegraphics<2>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_phases.scale4d.pdf}
|
||||
\includegraphics<3>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.repair_all.scale4d.pdf}
|
||||
\includegraphics<4>[width=\textwidth]{radio_interferometry/dc_grid_power_time_fixes.py.X400.no_offset.scale4d.pdf}
|
||||
\label{fig:sine:grid_power}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
\begin{frame}
|
||||
\begin{figure}
|
||||
\includegraphics[width=\textwidth]{pulse/time_res_vs_snr_multiple_dt.pdf}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
|
||||
%%%%%%%%%%
|
||||
\subsection{GNSS clock stability}
|
||||
\section{GNSS clock stability}
|
||||
\begin{frame}{GNSS clock stability I}
|
||||
\begin{columns}
|
||||
\begin{column}{0.4\textwidth}
|
||||
|
|
@ -525,6 +563,25 @@
|
|||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{GNSS filterchain delay experiment}
|
||||
\begin{columns}
|
||||
\begin{column}{0.5\textwidth}
|
||||
\centering
|
||||
Pulse
|
||||
\includegraphics[width=\textwidth]{grand/split-cable/split-cable-delays-ch1ch4.pdf}
|
||||
\end{column}
|
||||
\begin{column}{0.5\textwidth}
|
||||
\centering
|
||||
50MHz Sinewave
|
||||
\includegraphics[width=\textwidth]{grand/split-cable/split-cable-delay-ch1ch2-50mhz-200mVpp.pdf}
|
||||
%\includegraphics[width=\textwidth]{fourier/04_signal_to_noise_fig04.png}
|
||||
|
||||
Delay $ \lesssim 150\mathrm{ps}$
|
||||
\end{column}
|
||||
\end{columns}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{GNSS clock stability II}
|
||||
\begin{figure}
|
||||
\centering
|
||||
|
|
@ -535,7 +592,7 @@
|
|||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\subsubsection{In the field}
|
||||
\subsection{In the field}
|
||||
\begin{frame}{GNSS clock stability II}
|
||||
\begin{columns}
|
||||
\begin{column}{0.5\textwidth}
|
||||
|
|
@ -547,16 +604,16 @@
|
|||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\subsubsection{White Rabbit}
|
||||
\subsection{White Rabbit}
|
||||
\begin{frame}{White Rabbit: GNSS}
|
||||
\begin{figure}
|
||||
\includegraphics<1>[width=\textwidth]{gnss/phase-delocked-gps-white-rabbit-setup-colored.pdf}
|
||||
\includegraphics<2>[width=\textwidth]{gnss/phase-delocked-gps-white-rabbit-setup-colored.pdf}
|
||||
\includegraphics<1>[width=0.85\textwidth]{gnss/phase-delocked-gps-white-rabbit-setup-colored.pdf}%
|
||||
\includegraphics<2>[width=0.8\textwidth]{gnss/phase-locked-gps-white-rabbit-setup-colored.pdf}%
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
\begin{frame}{White Rabbit: Precision Time Protocol}
|
||||
\begin{figure}
|
||||
\includegraphics[height=\textheight]{white-rabbit/protocol/wrptpMSGs_1.pdf}
|
||||
\includegraphics[height=0.8\textheight]{white-rabbit/protocol/wrptpMSGs_1.pdf}
|
||||
\imagecite{WRPTP}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
|
|
|||
Loading…
Reference in a new issue