A three-dimensional unconditionally-stable locally-one-dimensional finite-difference time-domain (LOD-FDTD) method is proposed and is proved unconditionally stable analytically. In it, the number of equations to be computed is the same as that with the conventional three-dimensional alternating direction implicit FDTD (ADI-FDTD) but with reduced arithmetic operations. The reduction in arithmetic operations leads to approximately 20% less computational time in comparisons with the ADI-FDTD method.Index Terms-Alternating direction implicit finite-difference time-domain (ADI-FDTD), Courant Friedrich Levy (CFL) limit, FDTD, locally-one-dimensional finite-difference time-domain (LOD-FDTD), unconditionally stable.

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