Polarization vector of chiral light

I was curious about the following point: let’s say we have a left circularly polarized light wavepacket travelling from left to right. We will call its polarization vector $epsilon_{L}$ while the polarization vector for the right polarized light will be called $epsilon_{R}=epsilon^{*}_{L}$. What will the polarization vectors be in the case of a wavepacket propagating from right to left for the two different polarizations? (As written in terms of the $epsilon_{L}$ and $epsilon_{R}$ described before)