Effect of self-diffraction on the spatial-frequency band of a static holographic grating recorded by synchronous detection

Differential equations incorporating self-diffraction have been constructed to describe the recording of a holographic grating by synchronous detection. They have been solved numerically. An experimental study was made of the effect of self-diffraction on the spatial-frequency band of a holographic grating recorded in the ferroelectric Ba₂NaNb₅O₁₅ and in the sillenite Bi₁₂SiO₂₀. There is a satisfactory correspondence between the theoretical and experimental results. Under otherwise equal conditions, a hologram recorded in the ferroelectric has a spatial-frequency band wider than that in the sillenite.