A Novel Body-of-Revolution Finite-Difference Time-Domain Method With Weakly Conditional Stability

In this letter, the weakly conditionally stable finite-difference time-domain method (WCS-FDTD) is introduced into the body of revolution finite-difference time-domain (BOR-FDTD) method, resulting in a weakly conditionally stable BOR-FDTD. It inherits the advantages of both WCS-FDTD and BOR-FDTD methods, i.e., not only weakening the restraint of the Courant-Friedrich-Lecy (CFL) condition, with an efficient saving of CPU running time, but also leading to a significant memory reduction in the storage of the field components in comparison with the 3-D FDTD method. The stability condition of proposed BOR-FDTD method is presented analytically and the numerical performance of the proposed method over the alternating-direction implicit BOR-FDTD method is demonstrated through numerical examples.