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% Beamer Presentation
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% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
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% PACKAGES AND THEMES
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\documentclass{beamer}
\mode<presentation> {
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% which change the colors and layouts of slides. Below this is a list
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\usepackage{graphicx} % Allows including images
\usepackage{booktabs} % Allows the use of \toprule, \midrule and \bottomrule in tables
\usepackage{amsmath}
\usepackage{subfig}
\usepackage{caption}
\usepackage{mathabx}
\usepackage{wrapfig}
\usepackage{tikz}
\usepackage{animate}
\usetikzlibrary{shapes.geometric, arrows}
%\usepackage{subcaption}
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% TITLE PAGE
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\title[]{Midterm Presentation} % The short title appears at the bottom of every slide, the full title is only on the title page
\author{Group Fleming} % Your name
\institute[University of Twente] % Your institution as it will appear on the bottom of every slide, may be shorthand to save space
{
University of Twente \\ % Your institution for the title page
\medskip
%\textit{john@smith.com} % Your email address
}
\date{\today} % Date, can be changed to a custom date
\begin{document}
\begin{frame}
\titlepage % Print the title page as the first slide
\end{frame}
%----------------------------------------------------------------------------------
\section{Introduction}
\begin{frame}{Folded Dipole with Corner Reflector}
\begin{columns}[T]
\begin{column}{.5\textwidth}
\begin{block}{Requirements:}
\begin{itemize}
\item 433 MHz transmitting antenna
\item Transmitter impedance matching with antenna impedance
\end{itemize}
\end{block}
\begin{block}{Objectives:}
\begin{itemize}
\item High gain
\item Design an antenna that works and can be understood
\end{itemize}
\end{block}
\end{column}
\begin{column}{.5\textwidth}
\begin{figure}
\includegraphics[width=0.7\textwidth]{picture.png}
\cite{figure_of_antenna}
\end{figure}
\end{column}
\end{columns}
\end{frame}
%---------------------------------------------------------------------------
\section{Theory}
\begin{frame}{Hertzian Dipole}
\begin{columns}[T]
\begin{column}{.7\textwidth}
%\begin{block}
\begin{itemize}
\item Simplest infinitesimal radiating element
\item Basis for further analysis of more complex antenna
\item Two equal and opposite charge reservoirs separated by
a distance d
\item Far field:
\begin{equation*}
B_{\phi} = - \frac{I \: \delta l}{4 \pi j} \left( \frac{e^{-j k r_2}}{r_2} \right) k \sin{(\theta)}
\end{equation*}
\begin{equation*}
E_{\theta} = - \frac{I \: \delta l}{4 \pi j} \left( \frac{e^{-j k r_2}}{r_2} \right) \sqrt{\frac{\mu_0}{\epsilon_0}} \: k \sin{(\theta)}
\end{equation*}
\end{itemize}
%\end{block}
\end{column}
\begin{column}{.5\textwidth}
\begin{figure}
\includegraphics[width=0.5\textwidth]{Hert.png}
\cite{hert}
\end{figure}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Folded Dipole}
\begin{block}{Folded Dipole}
A basic dipole with the two ends folded to make a complete loop
\end{block}
\begin{columns}[T]
\begin{column}{.5\textwidth}
\begin{itemize}
\item Length of rod are a half wavelength
\item Direction propagating waves
\end{itemize}
\begin{figure}
\animategraphics[loop,controls,width=0.6\textwidth]{15}{tmp-}{0}{7}
\cite{figure_Waveprop}
\end{figure}
\end{column}
\begin{column}{.5\textwidth}
\begin{figure}
\includegraphics[width=0.4\textwidth]{folded.jpg}
\cite{folded}
\end{figure}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%
\begin{frame}{Corner Reflector}
\begin{columns}[T]
\begin{column}{.5\textwidth}
\begin{itemize}
\item Increases gain and directivity
\item Assuming perfectly conducting intersecting planes
\item Mirrors the dipole, 3 times the signal
\end{itemize}
\end{column}
\begin{column}{.5\textwidth}
\begin{figure}
\includegraphics[width=0.9\textwidth]{reflector_image_theory.PNG}
\cite{1_vetharatnam_rashidifar_2015}
%\includegraphics[width=0.8 \textwidth, height=0.3 \textwidth]{Figures/corner_distance.eps}
\end{figure}
\end{column}
\end{columns}
%\item $\vec{E}=f(\theta,\phi) \frac{e^{-jkr}}{r}[2cos(kscos\phi)-2cos(kssin\phi)]$
\end{frame}
%\begin{frame}{Corner Reflector}
%\begin{itemize}
%\item Increases gain and directivity
%\item Mirrors the dipole, 4 times the signal
%\end{itemize}
%\begin{figure}
%\includegraphics[width=0.8\textwidth]{reflector_image_theory.PNG}
%\cite{1_vetharatnam_rashidifar_2015}
%\includegraphics[scale = 0.2]{Figures/corner_distance.eps}
%\end{figure}
%\end{frame}
%---------------------------------------------------------------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Simulations}
\begin{frame}{Simulations vs Calculations}
\begin{columns}[T]
\begin{column}{0.5\textwidth}
\includegraphics[scale=0.5]{simulation.png}
\end{column}
\begin{column}{0.5\textwidth}
\includegraphics[scale=0.45]{3d.png}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Challenges}
\begin{frame}{Issues to Tackle...}
\begin{block}{In theory everything works, but in practice...}
Challenges:
\begin{itemize}
\item Phase
\item Impedance Matching
\item Building
\end{itemize}
\end{block}
\end{frame}
%%%%%%%%%%%
%\begin{frame}{Specifications}
%\begin{itemize}
% \item Operating frequency $433MHz$
%% \item Transmit signal for up to $100m$
% \item Length of Antenna $69 cm$ 4
%\end{itemize}
%\end{frame}
%%%%%%%%%%%
\begin{frame}{Phase}
\begin{itemize}
\item Desired phase difference of $\pi$
\item We may consider the full-wavelength antenna as composed of two
half-wavelength antennas having identical radiating properties, one excited positively and the other negatively, or $\pi$ out of phase.
\item Phase difference can be regulated by shifting the gap in the dipole
\end{itemize}
\end{frame}
%%%%%%%%%%%
\begin{frame}{Impedance Matching}
\begin{block}{}
\begin{itemize}
\item Aim: $Z_{in}=Z_{out}$
\item Minimize the transfer coefficient $\Gamma$
\item ensures that the signal is not reflected back into the transmission line
\cite{foldeddipolebasics}
\item Maximize the power delivered to the antenna
\end{itemize}
\end{block}
\begin{itemize}
\item Dependent on the separation between the two dipoles.
\item Optimum separation smaller than 3 cm.
\end{itemize}
\end{frame}
%----------------------------------------------------------------------------
\section{Design}
\begin{frame}{Technical Representation}
\begin{figure}
\includegraphics[width=0.9\textwidth]{Folded_dipole_3.PNG}
\end{figure}
\end{frame}
\begin{frame}{Construction}
\begin{itemize}
\item{Building Steps} \\
- Bending a hollow metal pipe to the folded dipole dimensions\\
- Constructing the corner reflector out of wire mesh\\
- Attaching the wires \& balun to the folded dipole\\
\item{Materials}\\
- Copper\\
- Wire mesh\\
- Coax cable\\
- Balun
\item Budget
- 25 euro
\end{itemize}
\end{frame}
%----------------------------------------------------------------------------
\section{Conclusion}
\begin{frame}{Conclusion}
\begin{block}{}
\begin{itemize}
\item Final calculations
\item Minor adjustments to size of dipole
\item Use simulations to verify theory
\item Take into account that theory is not reality
\end{itemize}
\end{block}
\end{frame}
\begin{frame}{Next Steps}
\includegraphics[width=\textwidth]{project_plan_block_diagram.png}
\end{frame}
\begin{frame}[allowframebreaks]{References}
\def\newblock{}
\bibliographystyle{unsrt}
\bibliography{mybib}
\end{frame}
\end{document}
%---------------------------------------------------------------------------