As a kind of rising computer, optical computer attracts extensive attention by its ability in high-speed, parallel computation. As the core of the optical processor, optical vector-matrix multiplier (VMM) is a basic optical device of the optical computer. In this thesis, the basic operation in the optical computation was studied by analyzing the course of laser beams transmitting through a VMM, which is composed of an array of vertical cavity surface-emitting lasers, spherical and cylindrical lens, an array of multiple quantum well spatial light modulators and an array of the detectors.Optical vector-matrix multiplier is a kind of integrated optical device and it is necessary to study the effect of the diffraction. Based on the scalar diffraction theory, the transformation of Gaussian beam by each component of the VMM is calculated by Collins formula,and the distributions on the SLM and CCD are investigated.In this thesis, we introduce and validate that the uniformity of the distribution of light intensity on SLM could be improved availably utilizing multiple beam. The optical path to realize binary addition by a carry look ahead adder is designed and the numerical result is presented. Finally, the effect of the diffraction aperture is studied during the course of reducing the scale of the diffraction aperture to the limit of the scalar diffraction theory. |