 With the exception of the numerical prefactors, most of the above formulas could have been guessed from general principles: there are only transitions into $s$-like and $d$-like partial waves (i.e. the dipole selection rule $\Delta L = \pm 0$!) and acting e.g. with an electric field in $x$ direction onto a $p_x$ -orbital produces only $s$-like, $d_{x^0-y^0}$-like and $d_{0z^0-r^0}$-like partial waves (which have even parity under reflection by the $z-y$-plane), whereas acting with a field in $y$ direction on $p_x$ can only produce the $d_{xy}$ partial wave. We therefore believe that much of the formula remains true even if more realistic wave functions for the final states are chosen.\  [rr|rr|rrr|r]{} G$_x$/$0\pi$ & G$_y$/$0\pi$ & $\phi^{(opt)}_E$ & $I/I_0$&$\phi^{(opt)}_E       $&$\theta^{(opt)}_E$&$I/I_0$& $h\nu$ -0 & -0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV -0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & -0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV -0 & -0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV -0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV -0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & -0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & -0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV 0 & 0 & 0.000 & 0.000 & 0.000 & 0.000 & 0.000&00eV  [rr|rr|rrr|r]{} G$_x$/$0\pi$ & G$_y$/$0\pi$ & $\phi^{(opt)}_E$ & $I/I_0$&$\phi^{(opt)}_E       $&$\theta^{(opt)}_E$&$I/I_0$