Lines through a plane in tikz

I am looking to reproduce the following figure in tikz. Could anyone help?

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d}
\begin{document}
\tdplotsetmaincoords{60}{20}
\begin{tikzpicture}[tdplot_main_coords]
\draw (-4,0,4) node[left] {$d_\infty-d_\infty'$} -- (4.5,0,4) coordinate (P);
\begin{scope}[canvas is xy plane at z=0,transform shape]
\draw (-4,-2) rectangle (4,2);
\draw (-3.9,-1) -- (3.9,-1) node[right] {$d$}
(-3.9,1) -- (3.9,1) node[right] {$d'$};
\foreach \X in {-3.8,-3.5,...,3.8}
{\draw[dashed] (\X,1) -- (P) (\X,-1) -- (P);}
\end{scope}
\end{tikzpicture}
\end{document}


(Note to myself: it seems that loading the 3d library is no longer necessary, it gets auto-loaded with tikz-3dplot along with calc and arrows.)