We propose mode division multiplex communication technique that can split a specific spatial mode in light from a
spatial mode multiplexed in an optical fiber by fusion of a phase conjugation technique with spatial filtering processing
by multiplexed volume holograms and random diffusers. In mode division multiplexing, the optical signal outgoing from
the multimode optical fiber is in a condition that optical information of plural spatial modes is overlapped, therefore it is
difficult to de-multiplex electrically after light detection. Our technique enables to split it into each mode all optically
and to compensate temporal modal shift dynamically. Mode de-multiplexing is realized by multiplexed holographic
arithmetic device and phase matching of a wave surface for the spatial mode orthogonal to time. Therefore, if we use
indices in conventional electronic processing, a very high-speed operation equivalent to that of 10-100PFLOPS can be
realized without causing any delay in light information to be transmitted. Moreover, it can realize constructions of a
system that can dynamically respond to temporal mode variations and distortions with fiber transmissions by using a
photorefractive medium. Separating of around 60-70% was achieved in an experiment of separating three multiplexed
spatial modes by controlling a volume type dynamic reconfigurable device based on LiNbO3. It was clarified that the
separation performance improved by an appropriate random phase mask in the numerical analysis.
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