An Accelerated Method of a Generalized Transition Matrix Model Using Characteristic Basis Functions for Large-Scale Open-Ended Cavities

This communication proposes a novel method for electrically large-scale open-ended cavities, using the generalized transition matrix (GTM) model and accelerating it by implementing the characteristic basis function method (CBFM). The approach involves the representation of electric surface currents on both the exterior and interior walls of a cavity using characteristic basis functions (CBFs), effectively reducing the number of unknowns in the problem. The proposed method can efficiently enhance the computational complexity of the GTM model construction as well as the system matrix formulation. Consequently, the system matrix is reduced compared with the original matrix system, resulting in the reduction of the matrix-solving times. The detailed formulation processes are introduced in this communication. Furthermore, the proposed method is verified using examples of open-ended cavities and evaluates the computational efficiency compared with the original method through the numerical results.