%\documentclass[portrait,a0,final]{a0poster}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.8.2018 by Juha-Matti Huusko (C)
% This document is released under licence CC-BY-SA:
% https://creativecommons.org/licenses/by-sa/2.0/
% Further restrictions:
% * This copyright notice cannot be removed.
% * Poster template must be distributed in web page of
% Department of Physics and Mathematics, University of Eastern Finland.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Any questions? Need help?
% Feel free to contact:
% juha-matti.huusko@uef.fi
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\documentclass[portrait,a0,posterdraft]{a0poster}

\usepackage{tikz,pgfplots}
\usepackage{booktabs}

% Palatino for rm and math | Helvetica for ss | Courier for tt
\usepackage{mathpazo} % math & rm
%\linespread{1.05}        % Palatino needs more leading (space between lines)
\usepackage[scaled]{helvet} % ss
\usepackage{courier} % tt
\normalfont
\renewcommand{\baselinestretch}{1.5}

\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}

\usepackage{tikz} %%%%%%%%%%%%%%%%%%%%%%%%%% for tikz logos
\usetikzlibrary{svg.path}
\usetikzlibrary{backgrounds}

\usepackage{anyfontsize}
\usepackage{caption}

\usepackage{epsfig}
\usepackage{multicol}
\usepackage{pstricks,pst-grad}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{lipsum}
\usepackage{graphicx}
\usepackage{fancybox}
\newcommand*{\Scale}[2][4]{\scalebox{#1}{$#2$}}%
%\usepackage{refcheck}

%%%% ---- MATHEMATICAL NOTATIONS ---- %%%%
\newcommand{\set}[1]{\left\{#1\right\}}
\newcommand{\abs}[1]{\left|#1\right|}
\newcommand{\brac}[1]{\left(#1\right)}
\newcommand{\sqbrac}[1]{\left[#1\right]}
\newcommand{\lbrac}[1]{\left\langle#1\right\rangle}
\newcommand{\nm}[1]{\lVert#1\rVert}
\newcommand{\sabs}[1]{|#1|}
\newcommand{\D}{\mathbb{D}}
\newcommand{\DD}{\mathcal{D}}
\newcommand{\slicht}{\mathcal{S}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\HO}{\mathcal{H}}
\newcommand{\B}{\mathcal{B}}
\newcommand{\NO}{\mathcal{N}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\riem}{\overline{\mathbb{C}}}
\newcommand{\e}{\varepsilon}
\renewcommand{\phi}{\varphi}
\newcommand{\uloc}{U_{\textrm{loc}}^M}
\newcommand{\uloca}{U_{\textrm{loc}}^A}
\newcommand{\uloch}{U_{\textrm{loc}}^H}
\DeclareMathOperator{\Real}{Re}
\DeclareMathOperator{\Imag}{Im}
\def\VMOA{\mathord{\rm VMOA}}
\def\BMOA{\mathord{\rm BMOA}}

\def\a{\alpha}       \def\b{\beta}        \def\g{\gamma}
\def\d{\delta}       \def\De{{\Delta}}    \def\e{\varepsilon}
\def\la{\lambda}     \def\om{\omega}      \def\O{\mathcal{O}}
\def\s{\sigma}       \def\t{\theta}       \def\f{\phi}
\def\p{\psi}         \def\r{\rho}         \def\z{\zeta}
\def\F{\Phi}         \def\c{\chi}         \def\vp{\varphi}
\def\G{\Gamma}

%%%% ---- ENVIRONMENTS ---- %%%%
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lettertheorem}{Theorem}
\newtheorem{letterlemma}[lettertheorem]{Lemma}
%\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{exa}[theorem]{Example}
\newenvironment{example}{\begin{exa}\rm}{\end{exa}}
%\theoremstyle{remark}
\newtheorem{remark}{Remark}
%\numberwithin{equation}{section}
\renewcommand{\thelettertheorem}{\Alph{lettertheorem}}

%%%% ---- SETTINGS ---- %%%
\renewcommand{\familydefault}{\sfdefault}
\setlength{\columnsep}{3cm}
\setlength{\columnseprule}{2mm}
\setlength{\parindent}{0.0cm}

%%%% ---- BACKGROUND ---- %%%%
\newcommand{\background}[3]{
  \newrgbcolor{cgradbegin}{#1}
  \newrgbcolor{cgradend}{#2}
  \psframe[fillstyle=gradient,gradend=cgradend,
  gradbegin=cgradbegin,gradmidpoint=#3](0.,0.)(1.\textwidth,-1.\textheight)}

%%%% ---- POSTER ---- %%%%
\newenvironment{poster}{
  \begin{center}
  \begin{minipage}[c]{0.98\textwidth}
}{
  \end{minipage}
  \end{center}
}

%%%% ---- PCOLUMN ---- %%%%
\newenvironment{pcolumn}[1]{
  \begin{minipage}{#1\textwidth}
     \setlength{\parskip}{2ex}
}{
  \end{minipage}
}

%%%%%%%%%%
% Colors %
%%%%%%%%%%

%%%% ---- COLORS FOR GENERAL USE ---- %%%%
\definecolor{uefgray}{rgb}{0.25098, 0.25098, 0.25098}
\definecolor{uefturquoise}{rgb}{0.027451, 0.65098, 0.729412}

%%%% ---- SOME OTHER COLORS ---- %%%%
\definecolor{oc-pear}{rgb}{0.792157, 0.858824, 0.164706}
\definecolor{oc-blue}{rgb}{0.00392157, 0.439216, 0.564706}
\definecolor{oc-sun}{rgb}{0.988235, 0.721569, 0.0784314}
\definecolor{oc-crimson}{rgb}{0.929412, 0.0941176, 0.27451}
\definecolor{oc-turquoise}{rgb}{0, 0.647059, 0.721569}
%You can define more colors for yourself.

%%%% ---- UEF LOGO ---- %%%%
\newcommand{\ueflogo}[3]
{
\begin{tikzpicture}
[scale=#1, show background rectangle, background rectangle/.style={fill=#3}]
\fill [fill=#2] svg{M 0 -35.5 V -62.3 S 5.1 -62.3 14.1 -65.6 C 27.4 -70.4 35.4 -83.5 35.4 -83.5 L 32.9 -61.7 C 32.3 -56.1 30.2 -47.1 22 -41.4 C 11.3 -33.9 0 -35.5 0 -35.5 Z M 8.9 -26.7 V -10.7 C 13.3 -11.7 20.1 -13.9 25.7 -19 C 34.2 -26.8 34.3 -46.4 34.3 -46.4 S 31.3 -39.6 25.9 -34.9 C 20.3 -30.1 13.4 -27.8 8.9 -26.7 Z M 37.7 -23.2 S 36.1 -17.3 33.2 -13.6 C 30.4 -10 28 -8.4 28 -8.4 L 37.7 0 L 47.4 -8.4 S 44.9 -10.1 42.2 -13.7 C 39.4 -17.4 37.7 -23.2 37.7 -23.2 Z M 49.8 -19 C 55.3 -14 62.2 -11.7 66.6 -10.7 V -26.8 C 62.1 -27.9 55.2 -30.2 49.6 -34.9 C 44 -39.6 41.2 -46.4 41.2 -46.4 S 41.3 -26.8 49.8 -19 Z M 75.4 -35.5 V -62.3 S 70.3 -62.3 61.3 -65.6 C 48 -70.4 40 -83.5 40 -83.5 L 42.5 -61.7 C 43.1 -56.1 45.2 -47.1 53.4 -41.4 C 64.1 -33.9 75.4 -35.5 75.4 -35.5 Z};
\end{tikzpicture}
}

\newcommand{\ueflogohorizontal}[3]
{
\begin{tikzpicture}
[scale=#1, show background rectangle, background rectangle/.style={fill=#3}]
\fill [fill=#2] svg{M 0 -35.5 V -62.3 S 5.1 -62.3 14.1 -65.6 C 27.4 -70.4 35.4 -83.5 35.4 -83.5 L 32.9 -61.7 C 32.3 -56.1 30.2 -47.1 22 -41.4 C 11.3 -33.9 0 -35.5 0 -35.5 Z M 8.9 -26.7 V -10.7 C 13.3 -11.7 20.1 -13.9 25.7 -19 C 34.2 -26.8 34.3 -46.4 34.3 -46.4 S 31.3 -39.6 25.9 -34.9 C 20.3 -30.1 13.4 -27.8 8.9 -26.7 Z M 37.7 -23.2 S 36.1 -17.3 33.2 -13.6 C 30.4 -10 28 -8.4 28 -8.4 L 37.7 0 L 47.4 -8.4 S 44.9 -10.1 42.2 -13.7 C 39.4 -17.4 37.7 -23.2 37.7 -23.2 Z M 49.8 -19 C 55.3 -14 62.2 -11.7 66.6 -10.7 V -26.8 C 62.1 -27.9 55.2 -30.2 49.6 -34.9 C 44 -39.6 41.2 -46.4 41.2 -46.4 S 41.3 -26.8 49.8 -19 Z M 75.4 -35.5 V -62.3 S 70.3 -62.3 61.3 -65.6 C 48 -70.4 40 -83.5 40 -83.5 L 42.5 -61.7 C 43.1 -56.1 45.2 -47.1 53.4 -41.4 C 64.1 -33.9 75.4 -35.5 75.4 -35.5 Z};
\draw [anchor=west, xshift=3.2cm, yshift=-1.3cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}  
{0}\selectfont {}{\color{#2} UNIVERSITY OF}};
%
\draw [anchor=west, xshift=3.2cm, yshift=-2cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}   
{0}\selectfont {}{\color{#2} EASTERN FINLAND}};
\end{tikzpicture}
}

\newcommand{\ueflogovertical}[3]
{
\begin{tikzpicture}
[scale=#1, show background rectangle, background rectangle/.style={fill=#3}]
\fill [fill=#2, anchor=center, xshift=-1.35cm] svg{M 0 -35.5 V -62.3 S 5.1 -62.3 14.1 -65.6 C 27.4 -70.4 35.4 -83.5 35.4 -83.5 L 32.9 -61.7 C 32.3 -56.1 30.2 -47.1 22 -41.4 C 11.3 -33.9 0 -35.5 0 -35.5 Z M 8.9 -26.7 V -10.7 C 13.3 -11.7 20.1 -13.9 25.7 -19 C 34.2 -26.8 34.3 -46.4 34.3 -46.4 S 31.3 -39.6 25.9 -34.9 C 20.3 -30.1 13.4 -27.8 8.9 -26.7 Z M 37.7 -23.2 S 36.1 -17.3 33.2 -13.6 C 30.4 -10 28 -8.4 28 -8.4 L 37.7 0 L 47.4 -8.4 S 44.9 -10.1 42.2 -13.7 C 39.4 -17.4 37.7 -23.2 37.7 -23.2 Z M 49.8 -19 C 55.3 -14 62.2 -11.7 66.6 -10.7 V -26.8 C 62.1 -27.9 55.2 -30.2 49.6 -34.9 C 44 -39.6 41.2 -46.4 41.2 -46.4 S 41.3 -26.8 49.8 -19 Z M 75.4 -35.5 V -62.3 S 70.3 -62.3 61.3 -65.6 C 48 -70.4 40 -83.5 40 -83.5 L 42.5 -61.7 C 43.1 -56.1 45.2 -47.1 53.4 -41.4 C 64.1 -33.9 75.4 -35.5 75.4 -35.5 Z};
%%%% ---- printing text "UNIVERSITY OF EASTERN FINLAND"... ---- %%%%
%below the logo
\draw [anchor=center, yshift=-3.52cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}
{0}\selectfont {}{\color{#2} UNIVERSITY OF}};
%
\draw [anchor=center, yshift=-4.22cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}
{0}\selectfont {}{\color{#2} EASTERN FINLAND}};
\end{tikzpicture}
}

\newcommand{\ueflogonostalgyhorizontal}[3]
{
\begin{tikzpicture}
[scale=#1, show background rectangle, background rectangle/.style={fill=#3}]
\fill [fill=oc-pear, anchor=center, xshift=-1.35cm] svg{M 0 -35.5 V -62.3 S 5.1 -62.3 14.1 -65.6 C 27.4 -70.4 35.4 -83.5 35.4 -83.5 L 32.9 -61.7 C 32.3 -56.1 30.2 -47.1 22 -41.4 C 11.3 -33.9 0 -35.5 0 -35.5 Z};
\fill [fill=oc-blue, anchor=center, xshift=-1.35cm] svg{M 8.9 -26.7 V -10.7 C 13.3 -11.7 20.1 -13.9 25.7 -19 C 34.2 -26.8 34.3 -46.4 34.3 -46.4 S 31.3 -39.6 25.9 -34.9 C 20.3 -30.1 13.4 -27.8 8.9 -26.7 Z};
\fill [fill=oc-sun, anchor=center, xshift=-1.35cm] svg{M 37.7 -23.2 S 36.1 -17.3 33.2 -13.6 C 30.4 -10 28 -8.4 28 -8.4 L 37.7 0 L 47.4 -8.4 S 44.9 -10.1 42.2 -13.7 C 39.4 -17.4 37.7 -23.2 37.7 -23.2 Z};
\fill [fill=oc-crimson, anchor=center, xshift=-1.35cm] svg{M 49.8 -19 C 55.3 -14 62.2 -11.7 66.6 -10.7 V -26.8 C 62.1 -27.9 55.2 -30.2 49.6 -34.9 C 44 -39.6 41.2 -46.4 41.2 -46.4 S 41.3 -26.8 49.8 -19 Z};
\fill [fill=oc-turquoise, anchor=center, xshift=-1.35cm] svg{M 75.4 -35.5 V -62.3 S 70.3 -62.3 61.3 -65.6 C 48 -70.4 40 -83.5 40 -83.5 L 42.5 -61.7 C 43.1 -56.1 45.2 -47.1 53.4 -41.4 C 64.1 -33.9 75.4 -35.5 75.4 -35.5 Z};
\draw [anchor=west, xshift=3.2cm, yshift=-1.3cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}  
{0}\selectfont {}{\color{#2} UNIVERSITY OF}};
%
\draw [anchor=west, xshift=3.2cm, yshift=-2cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}   
{0}\selectfont {}{\color{#2} EASTERN FINLAND}};
\end{tikzpicture}
}

\newcommand{\ueflogonostalgyvertical}[3]
{
\begin{tikzpicture}
[scale=#1, show background rectangle, background rectangle/.style={fill=#3}]
\fill [fill=oc-pear, anchor=center, xshift=-1.35cm] svg{M 0 -35.5 V -62.3 S 5.1 -62.3 14.1 -65.6 C 27.4 -70.4 35.4 -83.5 35.4 -83.5 L 32.9 -61.7 C 32.3 -56.1 30.2 -47.1 22 -41.4 C 11.3 -33.9 0 -35.5 0 -35.5 Z};
\fill [fill=oc-blue, anchor=center, xshift=-1.35cm] svg{M 8.9 -26.7 V -10.7 C 13.3 -11.7 20.1 -13.9 25.7 -19 C 34.2 -26.8 34.3 -46.4 34.3 -46.4 S 31.3 -39.6 25.9 -34.9 C 20.3 -30.1 13.4 -27.8 8.9 -26.7 Z};
\fill [fill=oc-sun, anchor=center, xshift=-1.35cm] svg{M 37.7 -23.2 S 36.1 -17.3 33.2 -13.6 C 30.4 -10 28 -8.4 28 -8.4 L 37.7 0 L 47.4 -8.4 S 44.9 -10.1 42.2 -13.7 C 39.4 -17.4 37.7 -23.2 37.7 -23.2 Z};
\fill [fill=oc-crimson, anchor=center, xshift=-1.35cm] svg{M 49.8 -19 C 55.3 -14 62.2 -11.7 66.6 -10.7 V -26.8 C 62.1 -27.9 55.2 -30.2 49.6 -34.9 C 44 -39.6 41.2 -46.4 41.2 -46.4 S 41.3 -26.8 49.8 -19 Z};
\fill [fill=oc-turquoise, anchor=center, xshift=-1.35cm] svg{M 75.4 -35.5 V -62.3 S 70.3 -62.3 61.3 -65.6 C 48 -70.4 40 -83.5 40 -83.5 L 42.5 -61.7 C 43.1 -56.1 45.2 -47.1 53.4 -41.4 C 64.1 -33.9 75.4 -35.5 75.4 -35.5 Z};
\draw [anchor=center, yshift=-3.52cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}
{0}\selectfont {}{\color{#2} UNIVERSITY OF}};
%
\draw [anchor=center, yshift=-4.22cm]
node [xscale=1.12*#1/1.5,yscale=#1/1.5]{\sffamily \fontsize{25}
{0}\selectfont {}{\color{#2} EASTERN FINLAND}};
\end{tikzpicture}
}

%%%% ---- FOOTER ---- %%%%
\newcommand{\posterfooter}[1]
{
\begin{center}
\begin{tikzpicture}
\draw [uefturquoise,line width=0.2cm,rounded corners=0cm,fill=uefturquoise]
(-0.498\textwidth,-3)--(-0.498\textwidth,3)--(0.498\textwidth,3)--(0.498\textwidth,-3)--cycle;
\draw (0,0)node[anchor=center,rotate=0]{\bfseries \sffamily \fontsize{43}   
{0}\selectfont {}{#1}};
%UEF-logo to footer, you can comment it off.
%\fill [fill=black, scale=1.5, xshift=-0.32\textwidth, yshift=1.5cm] svg{M 0 -35.5 V -62.3 S 5.1 -62.3 14.1 -65.6 C 27.4 -70.4 35.4 -83.5 35.4 -83.5 L 32.9 -61.7 C 32.3 -56.1 30.2 -47.1 22 -41.4 C 11.3 -33.9 0 -35.5 0 -35.5 Z M 8.9 -26.7 V -10.7 C 13.3 -11.7 20.1 -13.9 25.7 -19 C 34.2 -26.8 34.3 -46.4 34.3 -46.4 S 31.3 -39.6 25.9 -34.9 C 20.3 -30.1 13.4 -27.8 8.9 -26.7 Z M 37.7 -23.2 S 36.1 -17.3 33.2 -13.6 C 30.4 -10 28 -8.4 28 -8.4 L 37.7 0 L 47.4 -8.4 S 44.9 -10.1 42.2 -13.7 C 39.4 -17.4 37.7 -23.2 37.7 -23.2 Z M 49.8 -19 C 55.3 -14 62.2 -11.7 66.6 -10.7 V -26.8 C 62.1 -27.9 55.2 -30.2 49.6 -34.9 C 44 -39.6 41.2 -46.4 41.2 -46.4 S 41.3 -26.8 49.8 -19 Z M 75.4 -35.5 V -62.3 S 70.3 -62.3 61.3 -65.6 C 48 -70.4 40 -83.5 40 -83.5 L 42.5 -61.7 C 43.1 -56.1 45.2 -47.1 53.4 -41.4 C 64.1 -33.9 75.4 -35.5 75.4 -35.5 Z};
\end{tikzpicture}
\end{center}
%\vspace{0.015\textheight}
}

%%%% ---- PBOX ---- %%%%
\newrgbcolor{lcolor}{0. 0. 0.80}
\newrgbcolor{gcolor1}{1. 1. 1.}
\newrgbcolor{gcolor2}{.80 .80 1.}
\newcommand{\pbox}[4]{
\psshadowbox[#3]{
\begin{minipage}[t][#2][t]{#1}
#4
\end{minipage}
}}

%%%% ---- MYFIG ---- %%%%
\newcommand{\myfig}[3][0]{
\begin{center}
  \vspace{1.5cm}
  \includegraphics[width=#3\hsize,angle=#1]{#2}
  \nobreak\medskip
\end{center}}
\setcounter{figure}{1}
\newcommand{\mycaption}[1]{
  \vspace{0.5cm}
  \begin{quote}
    {{\sc Figure} \arabic{figure}: #1}
  \end{quote}
  \vspace{1cm}
  \stepcounter{figure}
}

\newcommand{\titlea}[1]{
\begin{center}
{\VERYHuge \sffamily {#1}}
\end{center}
}

\newcommand{\subtitlea}[1]{
%{\bfseries \sffamily \fontsize{82}{0}\selectfont {}{#1}}
}

\newcommand{\capstitlea}[1]{
\begin{center}
{\bfseries \sffamily \fontsize{140}{0}\selectfont {}{\sc #1}}
\end{center}
}

\newcommand{\authora}[3]{
{\bfseries \sffamily \huge \selectfont {}{\color{uefturquoise} \it
\textbf{#1}}$^{\,\,#2}$ #3}
}

\newcommand{\affiliation}[2]{
{\bfseries \sffamily \fontsize{44}   
{0}\selectfont {}{$^#1$ \it #2}}
}

\newcommand{\headera}[1]{
{\VeryHuge \sffamily {\color{uefturquoise}#1}}
\vspace{5mm}
}
%{\fontsize{90}{80} \sffamily {\color{uefturquoise} Implementation and results}}
%{\VeryHuge \sffamily {\color{uefturquoise} Introduction}}\vspace{5mm}

\newcommand{\referencea}[1]{
{\Large #1}
}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% ---- DOCUMENT ---- %%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{document}
%\background{1. 1. 1.}{1. 1. .80}{0.5}
%\newrgbcolor{lightblue}{0. 0.20 0.40}
%\newrgbcolor{white}{1. 1. 1.}
%\newrgbcolor{whiteblue}{.60 .80 0.80}

\begin{poster}

\titlea{Numerical analysis of partially coherent pulses\vspace{8mm} applied to resonance gratings}

%\begin{center}{\fontsize{130}{80} \sffamily {Numerical analysis of partially coherent pulses applied to resonance gratings}}\end{center}

\vspace{10mm}

\authora{Henri Pesonen}{1}{//}
\authora{Peng Li}{1,2}{//}
\authora{Tero Setälä}{1}{//}
\authora{Jari turunen}{1}{}

\vspace{5mm}

\affiliation{1}{Institute of Photonics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland}\\
\affiliation{2}{School of Optoelectronics, Beijing Institute of Technology, Beijing, China}

\vspace*{10mm}

\toprule[2mm]

\vspace*{5mm}

%%%% ---- CONTENT ---- %%%%
\begin{center}

%%%% ---- COLUMN 1 ---- %%%%
\begin{pcolumn}{0.49}

\headera{Introduction}

{\huge Coherence properties of temporally partially
coherent non-stationary fields modified by optical
elements are rather unexplored in light sciences.
Analytical models beyond the free-space
propagation are rare and for relatively demanding
optical elements, resonance gratings, the
coherence analysis is only possible by numerical
means. For this purpose rigorous
electromagnetic methods are a feasible and
efficient way to obtain accurate results.}
\vspace{5mm}

\headera{Implementation and results}

{\huge We compare Fourier Modal Method (FMM) [1]
and Finite Difference in Time Domain method
(FDTD) [1] and calculate the degree of temporal
coherence of a non-stationary field after a
resonance grating of Ref. [2]. For modelling the
temporal properties we use the Gaussian-Schell
–model (GSM) and independent-elementary-
pulse representations [3]. The resonance grating
reshapes the spectrum and hence the time pulse
of the 50 fs elementary Gaussian source field as
shown in Figs 1(a) and 1(b).}

\begin{center}
\includegraphics[width=0.7\textwidth]{figure1}
%\captionof{figure}{Caption for image}

\begin{minipage}[c][][c]{0.8\textwidth}
{\Large \textbf{Figure 1.} The normalized magnitudes of the transmitted
elementary pulses in (a) frequency and (b) time domains
calculated with FMM (dotted line) and FDTD (solid line).}
\end{minipage}
\end{center}

{\huge We notice small differences in spectral and
temporal shapes between FDTD and FMM. This
is due the difference between the operating
domain pulse propagation of the methods. Also
the numerical dispersion plays a role in FDTD.}

\vspace{1cm}

\end{pcolumn}
\hspace*{0.5cm}
%%%% ---- COLUMN 3 ---- %%%%
\begin{pcolumn}{0.49}

{\huge Temporal coherence properties of the transmitted
non-stationary field can now be determined by
making a Gaussian weighted superposition of the
mutually independent and fully temporally
coherent elementary pulses $a(t)$ at different time
instances $t_1$ and $t_2$. For independent-elementary-
pulse representation the complex degree of
coherence $\gamma$ reads:}

{\Large
$$
\gamma(t_1,t_2)=\frac{\int_{-\infty}^\infty g(t)a^{\ast}(t-t_1)a(t-t_2)\,dt}
{\sqrt{\int_{-\infty}^\infty g(t)|a(t-t_1)|^2\,dt \, \int_{-\infty}^\infty g(t)|a(t-t_2)|^2\,dt}},
$$}

{\huge where the asterix denotes complex conjugation
and $g(t)$ is a Gaussian weight function. In Fig. 3
we present the degree of temporal coherence of
the GSM pulse after a resonance grating
calculated with FMM. FDTD gives similar result.}

\begin{center}
\includegraphics[width=0.7\textwidth]{figure2}

\begin{minipage}[c][][c]{0.8\textwidth}
{\Large \textbf{Figure 2.} The complex degree of coherence for transmitted
partially temporally coherent 50 fs GSM-pulse incident to the
resonance grating.}
\end{minipage}
\end{center}


{\huge As a conclusion FMM and FDTD are suitable for
modelling the temporal coherence properties of
partially coherent pulses incident on resonance
gratings when special features of the operating
domain pulse propagations of the methods are
taken in to account [4].}

\end{pcolumn}
\end{center}

\vspace{0mm}

\toprule[2mm]

\vspace{25mm}

%\begin{center}
\begin{minipage}[c][9cm][c]{0.68\textwidth} %contact information
\referencea{1. E. Popov, Gratings: Theory and Numeric Applications, Institut Fresnel, (2012).}

\referencea{2. Vallius, P. Vahimaa, J. Turunen, 'Pulse deformation at guided-mode resonance filter', Opt. \\Express~\textbf{10}, 840--843, (2002).}

\referencea{3. P. Vahimaa and J. Turunen., ”Independent-elementary-pulse representation for non-stationary\\ fields,”
Opt. Express 14 5007-5012 (2006).}

\referencea{4. H. Pesonen, P. Li, T. Setälä and J. Turunen, ”Comparison of rigorous numerical methods for the\\ analysis temporal partial
coherence in gratings,” to be published.}
\end{minipage}
%
\begin{minipage}[c][9cm][c]{0.04\textwidth} %acknowledgements, uef-logo
\end{minipage}
%
\begin{minipage}[c][9cm][c]{0.27\textwidth} %acknowledgements, uef-logo
\ueflogovertical{1}{black}{white}
%
\includegraphics[width=0.2\textwidth]{bit-logo}
%
\hspace{1cm}
\includegraphics[width=0.35\textwidth]{iofp_logo_vari_RGB}
\end{minipage}

\vspace{25mm}

%\end{center}
%%%% ----  FOOTER ---- %%%%
\posterfooter{\color{white} UNIVERSITY OF EASTERN FINLAND | INSTITUTE OF PHOTONICS}

\end{poster}
\end{document}

