Search for Fermiophobic Higgs in $4\gamma$ + X Final State at CDF

We present a search for a fermiophobic Higgs boson ($h_{f}$) based on the Type I Two Higgs Doublet Model in which one of the two Higgs doublets has no couplings to fermions. Previous fermiophobic Higgs searches have not been able to exclude a very light $h_{f}$ in the region of large $\tan \beta$ (the ratio between the two vacuum expectation values in the theoretical model). We describe results of searches using the $p\overline{p} \rightarrow H^{\pm} h_{f} \rightarrow W^{*} h_{f} h_{f} \rightarrow 4\gamma + X$ production and decay channel which we expect to be sensitive to this previously unexcluded region.