  The increased capabilities of coupling more and more materials through
functional interfaces are paving the way to a series of exciting experiments
and extremely advanced devices. Here we focus on the capability of magnetically
inhomogeneous superconductor/ferromagnet (S/F) interfaces to generate
spin-polarized triplet pairs. We build on previous achievements on spin-filter
ferromagnetic Josephson junctions (JJs) and find unique correspondence between
neat experimental benchmarks in the temperature behavior of the critical
current and theoretical modeling based on microscopic calculations, which allow
us to determine a posteriori spin-singlet and triplet correlation functions.
This kind of combined analysis provides accurate proof of the coexistence and
tunability of singlet and triplet transport. This turns to be a unique
opportunity to model disorder and spin-mixing effects in a JJ to enlarge the
space of parameters, which regulate the phenomenology of the Josephson effect
and could be applied to a variety of novel types of JJs.
