New Alternating Direction Implicit Finite-Difference Time-Domain Method with Higher Efficiency

This letter presents a new unconditionally stable three-dimensional alternating direction implicit finite-difference time-domain (ADI-FDTD) method. The implicit differences of the method along different directions are irrelevant to each other, which results in a new updating equation with much simpler and more concise right-hand sides. This leads to substantial reduction in the number of arithmetic operations required for their computations. The unconditional stability of the proposed method is presented analytically, and the numerical performance of the method over the conventional ADI-FDTD method is demonstrated through numerical example.