A shear interferometer using wave mixing and angular multiplexing techniques in a BaTiO$- 3$/ crystal is investigated. By varying the angle between the pump beam and the probe beam, two separate holograms in the form of two index gratings are formed in the crystal. Each grating has a different magnitude and direction in the k-space. Reconstruction is attempted with both the same wavelength as that of the writing beams and with a slightly different wavelength. During the reconstruction process the crystal orientation is adjusted such that the phase-matching condition is satisfied simultaneously for both gratings. As a result of the reconstruction two sheared wavefronts are obtained. A theoretical description, results of theoretical investigations and an experimental configuration of this interferometer are presented.
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