Abstract: In recent years, the Hybridizable Discontinuous Galerkin Time-Domain (HDGTD) method has gained attention for addressing the issue of redundant degrees of freedom by introducing hybrid variables on adjacent faces. Compared to traditional algorithms, it offers higher calculation accuracy and lower memory consumption. To further improve the computational efficiency, this paper presents a hybridizable discontinuous Galerkin time-domain scheme based on high-order hierarchical basis functions and provides complete computational formulas. By this method, we successfully calculated the Radar Cross Section (RCS) of a metallic sphere, a rocket model, and a aircraft model. The experimental results confirm the accuracy and effectiveness of the vector-based HDGTD algorithm.