  We explicitly compute the plasma wave (PW) induced by a plane gravitational
wave (GW) travelling through a region of strongly magnetized plasma, governed
by force-free electrodynamics. The PW co-moves with the GW and absorbs its
energy to grow over time, creating an essentially force-free counterpart to the
inverse-Gertsenshtein effect. The time-averaged Poynting flux of the induced PW
is comparable to the vacuum case, but the associated current may offer a more
sensitive alternative to photodetection when designing experiments for
detecting/constraining high frequency gravitational waves. Aside from the exact
solutions, we also offer an analysis of the general properties of the GW to PW
conversion process, which should find use when evaluating electromagnetic
counterparts to astrophysical gravitational waves, that are generated directly
by the latter as a second order phenomenon.
