Analysis of errors in recording and reading of a holographic prism on photothermorefractive glass

The influence of deviation of recording and reading conditions of multiplex Bragg gratings from calculated values on the parameters of restorable fan of beams of a holographic prism (HP) formed by Bragg gratings in photothermorefractive glass is analyzed. Deviations are specified either as a rotation of the sample around one of three orthogonal axes $Oxyz$ or as simultaneous rotation of the sample around two axes. It is shown that errors in the sample installation do not affect quality of the HP in recording if all gratings are recorded with the same deviation from an ideal position. However, difference in errors at the recording of each grating results is a reduction of flatness of fan of the HP and a loss of its working capacity. Ultimate values of errors of rotation around the $Ox$ and $Oy$ axes allowing one to maintain HP functionality, i.e., simultaneous reconstruction of all its beams, are calculated. It is established that, in the case of an ideally recorded HP, errors in the stage of reading may result in twisting the fan and disrupting its flatness.