Full-wave analysis of guided wave structures using a novel 2-D FDTD

A two-dimensional Yee´s mesh with reduced grid size is proposed for the full-wave analysis of arbitrarily shaped guided wave structures. By introducing a phase shift beta Delta h along the z-direction (propagation direction), it is possible to calculate the propagation constant, of hybrid modes by using only a two-dimensional mesh. This step not only allows the frequency selective application of the finite-difference time-domain (FDTD) method, as desired in many design problems, but it also reduces the memory space and CPU time of the full-wave FDTD significantly. Furthermore, by introducing a phase shift, the space grid in the propagation direction is reduced to half its normal size.<>