By Khairan N. Ramli, Raed A. Abd-Alhameed, Peter S. Excell
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Extra info for Development of Complex Electromagnetic Problems Using FFYF Subgridding in Hybrid Computational Techniques
The time-stepping of the FDTD algorithm is continued until the desired late time pulse response or steady state behaviour is reached. 4 depicts the time-stepping FDTD algorithms flow chart. Apparently, a suitable size of the time step should be chosen properly to avoid the late time instability of the algorithms, after determining the spatial resolution based on the geometrical features and the operating frequency. It can be seen that a leapfrog arrangement between the electric and magnetic field vector components is used to implement the time step of the FDTD algorithm.
Lashab, K. H. Sayidmarie et al. 4) We define E and H respectively the electric and magnetic field, J is the current density and the electric charge density. 1, the permittivity and the permeability are considered constant with respect to curl and divergence action. 1. Homogenous and isotropic structure fed by electric or magnetic field. 1. 1, having a perfectly conducting surface (PEC), the tangential electric field on the surface is null. 5) Surface Kernel Solution of the Method of Moments 49 where, Einc is the incident electric field and Escat is the scattered electric field.
Abd-Alhameed and P. S. 4. The flow chart of the time stepping FDTD algorithm . 5. Variation of the numerical phase velocity with wave propagation angle in two-dimensional FDTD grid . 3. NUMERICAL DISPERSION The accuracy and stability of FDTD method is controlled by two significant parameters namely the space resolution x, y, z and the time resolution t. Waves of different frequencies will propagate at slightly different speeds through the grid due to the approximations inherent in FDTD.