The photo-production mechanism used in the GlueX experiment by impinging an 8.2-8.8 GeV linearly polarized photon beam on a liquid hydrogen target allows the mapping of light mesons in unprecedented detail with particular interest in exotic meson candidates. Polarization observables such as beam asymmetry $\Sigma$, extracted from azimuthal ($\phi$) angular distributions between the meson production plane and the polarized photon beam, help in understanding production mechanisms via t-channel quasi-particle exchange processes using Regge theory. We report preliminary results on the beam asymmetry measurements for $\eta$ in $\gamma$p $\rightarrow$ $\eta$ $\Delta^+$. The reaction $\gamma$p $\rightarrow$ $\eta$ $\Delta^+$ provides an opportunity for validation of previous $\eta$ asymmetry measurements and theoretical calculations. Ensuring that exchange mechanisms are understood is a crucial ingredient to the establishing of new photoproduced light meson states.
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