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The trilayer and pentalayer spin valve structures are revisited to determinethe behavior of pair correlations and Josephson current when the magneticlayers are canted at arbitrary angle. The two systems display markedlydifferent behaviors in the center magnetic layer. While the trilayer generatesa triplet component that is weakly affected by canting, the pentalayer tunes insinglet pair correlations depending heavily on canting. We also show that aminimum with depleted $m=\pm1$ triplet components, rather than a $0-\pi$transition, may be observed in the current profile $I_c(d_F)$ of a trilayerspin valve. The depleted-triplet minimum (DTM) is directly attributable to adecrease of $m=\pm1$ triplet correlations with increased thickness of thecentral ferromagnet, accompanied by a hidden, simultaneous sign change of theGor'kov functions contributed from the left and right superconductors. Weintroduce a toy model for superconducting-magnetic proximity systems to betterilluminate the behavior of individual components of the Gor'kov function andcompare with a full numerical calculation.

The role of canting and depleted-triplet minima in superconducting spin valve structures