% $Header: /cvsroot/latex-beamer/latex-beamer/solutions/generic-talks/generic-ornate-15min-45min.en.tex,v 1.5 2007/01/28 20:48:23 tantau Exp $

%\documentclass[red,compress]{beamer}
\documentclass[red]{beamer}

% This file is a solution template for:

% - Giving a talk on some subject.
% - The talk is between 15min and 45min long.
% - Style is ornate.



% Copyright 2004 by Till Tantau <tantau@users.sourceforge.net>.
%
% In principle, this file can be redistributed and/or modified under
% the terms of the GNU Public License, version 2.
%
% However, this file is supposed to be a template to be modified
% for your own needs. For this reason, if you use this file as a
% template and not specifically distribute it as part of a another
% package/program, I grant the extra permission to freely copy and
% modify this file as you see fit and even to delete this copyright
% notice. 


\mode<presentation>
{
  %\usetheme{Warsaw}
  \usetheme{Warsaw}
  %\usecolortheme{lily}

  % or ...
  %\useoutertheme{split}

  \setbeamercovered{transparent}
  %\pagestyle{plain}

  % or whatever (possibly just delete it)
}

\usepackage[english]{babel}
% or whatever
\usepackage[dvips]{}

\usepackage[latin1]{inputenc}
% or whatever

\usepackage{times}
\usepackage[T1]{fontenc}

\usepackage{wasysym}

\input{../colours.tex}

% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.

\begingroup
	\def\facewith#1{$\bigcirc\mskip-13.3mu{}^{..}
	\mskip-11mu\scriptscriptstyle#1\ $}
	\xdef\frowny{\facewith\frown}
	\xdef\smiley{\facewith\smile}
	\xdef\neutry{\facewith-}
\endgroup

\title[Study of energy resolution]%[short title] % (optional, use only with long paper titles)
{Study of energy resolution vs energy, number of layers and sampling}

\subtitle
{} % (optional)

\author[A.-M. Magnan] % (optional, use only with lots of authors)
{A.-M. Magnan \\
Imperial College London
}
% - Use the \inst{?} command only if the authors have different
%   affiliation.

\date[21/08/2008, RAL] % (optional)
{21/08/2008, Calice-MAPS RAL}

\subject{Talks}
% This is only inserted into the PDF information catalog. Can be left
% out. 



% If you have a file called "university-logo-filename.xxx", where xxx
% is a graphic format that can be processed by latex or pdflatex,
% resp., then you can add a logo as follows:

% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
% \logo{\pgfuseimage{university-logo}}



%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
%\AtBeginSection[]
%{
%  \begin{frame}<beamer>{Outline}
%    \tableofcontents[currentsection]%,currentsubsection]
%  \end{frame}
%}


% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command: 

%\beamerdefaultoverlayspecification{<+->}


\begin{document}

\begin{frame}
  \titlepage
\end{frame}

\begin{frame}{Outline}
  \tableofcontents
  % You might wish to add the option [pausesections]
\end{frame}


\section{Introduction}

\begin{frame}
\frametitle{Introduction}
\footnotesize{
  \begin{block}{Samples}
\footnotesize{Total is always 24 X$_{0}$:}
    \begin{itemize}
      \item \footnotesize{\textcolor{green}{Energy:} 30 layers, 20 @ 0.6 X$_{0}$, 10 @ 1.2 X$_{0}$: }
        \begin{itemize}
          \item \scriptsize{2\,500 events at 1,2,5,10,15,20 GeV,}
          \item \scriptsize{1\,000 events at 30,40,50 GeV,}
          \item \scriptsize{500 events at 60,75,100 GeV,}
          \item \scriptsize{200 events at 150 GeV, 100 events at 200 GeV.}
        \end{itemize}
      \item \footnotesize{\textcolor{red}{Number of layers:} 1\,000 events at 10 GeV, with N layers, 2/3N @ $0.6\times 30/$N X$_{0}$, 1/3N @ $1.2\times 30/$N X$_{0}$:}
        \begin{itemize}
          \item \scriptsize{N=30,28,26,24,22,20,18,16,15,14,13,12,11,10,9,8.}
        \end{itemize}
      \item \footnotesize{\textcolor{blue}{Sampling:} 1\,000 events at 10 GeV, with 30 layers, following $20 \times a + 10 \times a \times (1+b) = 24$ X$_{0}$:}
        \begin{itemize}
          \item \scriptsize{b = 0, a = 0.80 X$_{0}$, b = 0.5, a = 0.69 X$_{0}$,}
          \item \scriptsize{b = 1, a = 0.60 X$_{0}$, b = 1.5, a = 0.53 X$_{0}$,}
          \item \scriptsize{b = 2, a = 0.48 X$_{0}$, b = 2.5, a = 0.44 X$_{0}$.}
        \end{itemize}
    \end{itemize}

  \end{block}
}
\end{frame}

\begin{frame}
\frametitle{Very simple detector: only Si and W}

  \begin{columns}
  \column{5.5cm}
    \begin{block}{e$^-$ 100 GeV, $10 \times 10 \times 10$\,cm$^3$}
      \begin{center}
        \includegraphics[width=1.\textwidth,height=1.\textwidth]{./shower100GeV.png}
      \end{center}
    \end{block}
  \column{5.5cm}
    \begin{block}{e$^-$ 200 GeV, $10 \times 10 \times 10$\,cm$^3$}
      \begin{center}
        \includegraphics[width=1.\textwidth,height=1.\textwidth]{./shower200GeV.png}
      \end{center}
    \end{block}
  \end{columns}

\end{frame}

\begin{frame}
\frametitle{$10 \times 10$\,cm too small ??}

  \begin{block}{e$^-$ 200 GeV, $20 \times 20 \times 20$\,cm$^3$}
    \begin{center}
      \includegraphics[width=0.5\textwidth,height=0.5\textwidth]{./shower200GeV_20cm.png}
    \end{center}
  \end{block}

\end{frame}




%\begin{frame}
%\frametitle{e$^-$ vs $\gamma$}
%
%  \begin{columns}
%  \column{5.5cm}
%    \begin{block}{e$^-$ 20 GeV, $10 \times 10 \times 10$\,cm$^3$}
%      \begin{center}
%        \includegraphics[width=1.\textwidth,height=1.\textwidth]{./shower_electron20GeV.png}
%      \end{center}
%    \end{block}
%  \column{5.5cm}
%    \begin{block}{$\gamma$ 20 GeV, $10 \times 10 \times 10$\,cm$^3$}
%      \begin{center}
%        \includegraphics[width=1.\textwidth,height=1.\textwidth]{./shower_photon20GeV.png}
%      \end{center}
%    \end{block}
%  \end{columns}
%
%\end{frame}


\section{Dependence in energy}


\begin{frame}
\frametitle{Reconstructed energy and width vs generated energy}

%  \begin{columns}
%  \column{6cm}
    \begin{center}
      \includegraphics[width=0.78\textwidth,height=0.29\textwidth]{./compaE.png}
    \end{center}
%  \column{6cm}
    \begin{center}
      \includegraphics[width=0.85\textwidth,height=0.32\textwidth]{./compaRMS.png}
    \end{center}
%  \end{columns}
\end{frame}


\begin{frame}
\frametitle{Resolution vs E}

  \begin{center}
    \includegraphics[width=0.6\textwidth,height=0.6\textwidth]{./resE.png}
  \end{center}

\end{frame}

\begin{frame}
\frametitle{Resolution vs $1/\sqrt{\mathrm{E}}$}

  \begin{center}
    \includegraphics[width=0.6\textwidth,height=0.6\textwidth]{./resEsq.png}
  \end{center}

\end{frame}

\begin{frame}
\frametitle{Linearity vs E}

\begin{columns}
\column{4cm}
  \begin{block}{Definition}
    \begin{itemize}
      \item Calibrate E$_{epi}$ and E$_{bulk}$ on E$_{MC}$ at 50 GeV.
      \item Draw $\frac{E_{reco}^{calib}-E_{MC}}{E_{MC}}$ vs E$_{MC}$.
    \end{itemize}
  \end{block}
\column{7cm}
  \begin{block}{}
    \begin{center}
      \includegraphics[width=1.\textwidth,height=0.9\textwidth]{./linearityE.png}
    \end{center}
  \end{block}
\end{columns}

\end{frame}

\begin{frame}
\frametitle{Linearity vs $\sqrt{\mathrm{E}}$}

  \begin{center}
    \includegraphics[width=0.6\textwidth,height=0.6\textwidth]{./linearityEvsEsq.png}
  \end{center}

\end{frame}

\section{Dependence in number of layers}

\begin{frame}
\frametitle{Resolution vs N$_{\mathrm{layers}}$}

  \begin{center}
    \includegraphics[width=0.6\textwidth,height=0.6\textwidth]{./resEvsLayers.png}
  \end{center}

\end{frame}

\section{Dependence in sampling}

\begin{frame}
\frametitle{Resolution vs sampling}

  \begin{center}
    \includegraphics[width=0.6\textwidth,height=0.6\textwidth]{./resEvsSampling.png}
  \end{center}

\end{frame}



%\begin{frame}
%\frametitle{\textcolor{}{}}
%\framesubtitle{}
%  % - A title should summarize the slide in an understandable fashion
%  %   for anyone how does not follow everything on the slide itself.
%
%%\vspace*{-2mm}
%\begin{columns}
%\column{5cm}
%  \begin{block}{}
%  \begin{center}
%    \begin{itemize}
%      \item 
%    \end{itemize}
%    \footnotesize{}
%    \includegraphics[width=0.6\textwidth,height=0.6\textwidth]{}
%  \end{center}
%  \end{block}
%\column{5cm}
%
%\end{columns}
%
%\end{frame}


%\begin{flushright}
%\includegraphics[width=0.5\textwidth,height=0.45\textwidth]{../graphics/betaSource_hits.png}
%\end{flushright}



\end{document}


