The Body-of-Revolution Hybrid Implicit–Explicit Finite-Difference Time-Domain Method With Large Time Step Size

A novel body-of-revolution finite-difference time- domain method (BOR-FDTD) based on the hybrid implicit-explicit (HIE) difference is presented in this paper. The time step in this method is independent of mode number to. It is only determined by the spatial increments Deltar and Deltaz. Compared with the conventional BOR-FDTD method, this novel BOR-FDTD method has larger time step size, especially when the value of to is large. This novel BOR-FDTD method does not require the solution of tridiagonal matrices, and all the updates in this method are explicit. The stability condition of the proposed BOR-FDTD method is presented analytically, and the numerical performance is demonstrated through numerical examples.