\documentclass[crop,border=15,tikz,convert={outext=.svg,command=\unexpanded{pdf2svg
    \infile\space\outfile}},multi=false]{standalone}
\usepackage{tikz-3dplot}

\def\myt{0.5}
\def\mypi{3.141592653589793}

\tdplotsetmaincoords{70}{120}
\begin{document}
\begin{tikzpicture}[>=latex,scale=1,tdplot_main_coords]
  \fill[white] (-4,-4.75,-5.5) rectangle (-4,4.5,3.25);
  \draw[->] (0,0,0) -- (3,0,0) node[anchor=north east]{$z$};
  \draw[->] (0,-1,0) -- (0,5.5,0) node[anchor=north west]{$x$};
  \draw[->] (0,0,0) -- (0,0,3) node[anchor=south]{$y$};

  \tdplotsetrotatedcoords{0}{90}{90}
  \draw[thick,blue,smooth,domain=-1:5,samples=200,tdplot_rotated_coords] plot
  function {2*sin(4*(x-\myt))};

  \tdplotsetrotatedcoords{0}{0}{90}
  \draw[thick,red,smooth,domain=-1:5,samples=200,tdplot_rotated_coords] plot
  function {-2*sin(4*(x-\myt))};

  %\tdplotsetrotatedcoords{0}{0}{0}
  \foreach \a in {-1,-0.9,...,5}{
    \def\E{{2*sin(4*180/\mypi*(\a-\myt))}}
    \draw[blue] (0,\a,0) -- (0,\a,\E);
    \draw[red] (0,\a,0) -- (\E,\a,0);
  }
  \draw[ultra thick,blue,->,tips=proper] (0,5,0) --
  (0,5,{2*sin(4*180/\mypi*(5-\myt))}) node[anchor=west]{$\vec{E}$};
  \draw[ultra thick,red,->,tips=proper] (0,5,0) --
  ({2*sin(4*180/\mypi*(5-\myt))},5,0) node[anchor=north west]{$\vec{B}$};
\end{tikzpicture}
\end{document}