Increasing The Readout Accuracy Of Signals In Photorefractive Bismuth Silicon Oxide Family Crystals During Dynamic Holographic Processes

Bismuth Silicon Oxide family crystals are widely used photorefractive materials. An exact analytical solution of the vectorial wave-coupling equations can not be attained when optical activity, photoelastic effect and piezoelectric effect are involved during the wave-coupling processes. In previous works, approximate solutions were achieved by ignoring one or more the above effects. Those approximate solutions are not fit to the corresponding experiment results in different optical configurations.In this article, vectorial wave-coupling, optical activity, electrooptic effect, photoelastic effect and piezoelectric effect are all taken into consideration. Tensorial method is used to increase the solution accuracy. With the conditions we considered above, we also involve the drift mechanic, and we find the expressions of the signal gains with the function of the grating orientation, polarization, electric field and thicknesses of the crystals by analytical solutions.With the numerical solutions, we can get all the data in different configurations in order to verify the analytical solutions. Finally we compare with the two methods in some configurations of BTO and BSO crystals. We find the factor which may impact the energy gains and the approximation fitting range of analytical solutions which provide useful information for the design of photorefractive gratings.