Free Field Realization of Supersymmetric W-algebras

We show that supersymmetric(SUSY) W-algebra of generic level can be realized as an intersection of the kernels of the screening operators. Applying this result to principal SUSY W-algebras, we get their free field realization inside the SUSY Heisenberg vertex algebras. Furthermore, the screening operators for principal SUSY W-algebras allow us to present them as intersections of the principal SUSY W-algebras associated with $\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\mathrm{\mid }2)$, $\mathfrak{o}\mathfrak{s}\mathfrak{p}(2\mathrm{\mid }2)$, $\mathfrak{o}\mathfrak{s}\mathfrak{p}(3\mathrm{\mid }2)$ and $\mathfrak{o}\mathfrak{s}\mathfrak{p}(4\mathrm{\mid }2)$, tensored with SUSY Heisenberg vertex algebras.