Design of broadband terahertz vector and vortex beams: I. Review of materials and components Describes the approaches to broadband THz vortices generation, and Design of broadband terahertz vector and vortex beams: II. Holographic assessment Shows how THz pulse time domain holography can be used to visualise the dynamics of their buildup and further propagation, check the efficiency of generators, and model the experiments before actual runs.