Abstract
Higher order locally one-dimensional finite-difference time-domain (HO-LOD-FDTD) methods are proposed here to improve the accuracy of the four-step LOD-FDTD, five-step LOD-FDTD, and six-step LOD-FDTD methods. In the proposed HO-LOD-FDTD methods, higher order finite-difference approximations are used for all the three space derivatives; therefore, they give improved accuracy in all the three directions. In addition to HO-LOD-FDTD methods, hybrid-HO LOD-FDTD (HHO-LOD-FDTD) methods are also proposed here. In the HHO-LOD-FDTD methods, higher order finite-difference approximations are used for the desired direction(s) only. As a result, they give improved accuracy in the desired direction(s), and take less computational time than the HO-LOD-FDTD methods. Moreover, to validate the analytical results, simulation results of the fourth-order (FO) and hybrid-FO LOD-FDTD methods are also discussed here.
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