We propose a novel multiplexing system for sensing of dynamic strains in which several multimode optical fibers are
used as sensitive elements. In the proposed configuration several object beams emerged from different multimode fibers
are mixed in one crystal altogether with a common reference beam, which is directed from the opposite face of the
sample. The geometry of the light-beam interaction inside the crystal assures low cross-talk between the measuring
channels in spite of the fact that all the object beams are mutually coherent since they originate from one and the same
laser. We have found that the crosstalk is much smaller than the noise level of any channel, which relates to instability of
the polarization state of the speckle field emerged from the fibers.