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The Stark Effect doesn't bend the path of photons but splits the energy transitions of atoms and molecules. So it changes the frequencies, not the path.
If an electric field in a vaccum could bend the path of a photon then the very strong electric fields at Jupiter's poles would warp the apparent position of background stars more than ...sorry, you cannot view external links. To see them, please
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That seems a pretty strong indication to me RD. That light doesn't 'bend' due to EM fields. But then you refer to the refractive index and say that it can?