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This is an Academia Sinica directivity innovation project part of research content. In recent years, the light beam angular momentum and the light beam lateral shear studied more and more receives people's attention. On the one hand, the light field is a vector field, some three components; On the other hand, the light beam reflected refraction has two Eigen condition on the dielectric medium surface. This article gradually introduces the angular momentum from the concept, as follows has the introduction single photon orbital angular momentum the survey, also some Gauss light beam angular momentum expression, to pulls geyl - Gauss and between the distress rice - Gauss light beam transformation has showing.