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Fringe-locking is a convenient technique for recording running holograms in photorefractive crystals (1) where the phase shift i between the recorded interference fringes and
the resulting hologram is adaptively fixed to ψ = 90°. ψ = 90° means that the real part
of the complex expression for the spatial charge arising electric fields modulation
Esc (2) is fixed to zero. This condition allows computing the expression for the hologram
velocity for different applied electric field E, and compare it to experimental data from
fringe-locking experiments.
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Jaime Frejlich, "Fringe-locked running hologram recording in photorefractive crystals," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34877