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Measurements of superfluid $^3$He in 98% aerogel demonstrate the existence ofa metastable \emph{A}-like phase and a stable \emph{B}-like phase. It has beensuggested that the relative stability of these two phases is controlled byanisotropic quasiparticle scattering in the aerogel. Anisotropic scatteringproduced by axial compression of the aerogel has been predicted to stabilizethe axial state of superfluid $^3$He. To explore this possiblity, we usedtransverse acoustic impedance to map out the phase diagram of superfluid $^3$Hein a $\sim 98$% porous silica aerogel subjected to 17% axial compression. Wehave previously shown that axial anisotropy in aerogel leads to opticalbirefringence and that optical cross-polarization studies can be used tocharacterize such anisotropy. Consequently, we have performed opticalcross-polarization experiments to verify the presence and uniformity of theaxial anisotropy in our aerogel sample. We find that uniform axial anisotropyintroduced by 17% compression does not stabilize the \emph{A}-like phase. Wealso find an increase in the supercooling of the \emph{A}-like phase at lowerpressure, indicating a modification to \emph{B}-like phase nucleation in\emph{globally} anisotropic aerogels.

Superfluid Phase Stability of $^3$He in Axially Anisotropic Aerogel