A generalized theoretical model of the coherent interaction of linearly polarized (1+1)D light beams in a cubic optically active photorefractive Bi12SiO20 crystal of cut \(\left(\overline{1 }\overline{1 }0\right)\) placed in an external constant electric field including inverse piezoelectric and photoelastic effects in addition to the traditional electro-optical effect is presented. The interaction of identically linearly polarized one-dimensional light beams with a transverse Gaussian distribution of the light field at the crystal entrance has been studied. Consideration of the additional parameters and effects in the mathematical model was shown to cause significant changes in the obtained theoretical results, which allowed a more correct interpretation of the experimental data. Interaction of driven and leading Gaussian light beams with mutually orthogonal linear polarizations at the crystal entrance was numerically modeled.
