  Josephson junctions with a ferromagnetic metal weak link reveal a very strong
decrease of the critical current compared to a normal metal weak link. We
demonstrate that in the ballistic regime the presence of a small region with a
non-collinear magnetization near the center of a ferromagnetic weak link
restores the critical current inherent to the normal metal. The above effect
can be stimulated by additional electrical bias of the magnetic gate which
induces a local electron depletion of ferromagnetic barrier. The underlying
physics of the effect is the interference phenomena due to the magnetic
scattering of the Cooper pair, which reverses its total momentum in the
ferromagnet and thus compensates the phase gain before and after the
spin-reversed scattering. In contrast with the widely discussed triplet long
ranged proximity effect we elucidate a new singlet long ranged proximity
effect. This phenomenon opens a way to easily control the properties of SFS
junctions and inversely to manipulate the magnetic moment via the Josephson
current.
