In the NSFC key program finished and the 973 program to be finished, the study on vector optical fields focuses on: principles of manipulating polarization, spatiotemporal evolution, and novel effects and potential applications of linear and nonlinear interaction with the matter. We have resolved the issues on the principles and experimental realization of the local linearly-polarized vector fields with arbitrarily spatial distribution and arbitrarily orientated polarization, and of some hybridly polarized vector fields with special spatial distributions. However, we still cannot resolve the issue on principles and experimental realization of vector fields with arbitrarily spatial distribution and arbitrary polarization states (including linear polarization with arbitrary orientation, elliptic polarization with arbitrary orientation, ellipticity and sense, and circular polarization with arbitrary sense). In fact, such an unresolved issue as mentioned above is one of the key issues focused on in this project. After the above issue has been resolved, the second set of issues focused in this project is, through introducing the concept of fractal and based on the self-similarity and iteration rules, to realize the design and control of spatial fractal structures and the generation of spatial fractal vector fields. Furthermore, we will study the unique novel linear and nonlinear effects, peculiar properties and potential applications, which are originated from the fractal structure. We will also reveal the regularities and mechanisms of influences of structure and dimension and level of the spatial fractals. We will explore the principles, schemes and feasible approaches in realizing the far-field focusing beyond the diffraction and the far-field imaging beyond the resolution by using the spatial fractal structure.