A memory-efficient FDTD algorithm for solving Maxwell equations in cylindrical grids

A memory-efficient finite-difference time-domain (FDTD) algorithm for solving Maxwell equations in cylindrical grids is introduced. In the proposed algorithm, two equations that spatially link the three electric-field and three magnetic-field components respectively are used to eliminate one component each of E and H. This enables us to get a direct memory reduction of 33% in the storage of the fields by using a spatial field updating procedure. A numerical example considering a two dimensional case is presented to validate the efficiency of the proposed algorithm.