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This letter presents a new method of implementing current sources in the alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method. The current source condition is derived systematically, starting with the fully implicit Crank-Nicolson (CN) FDTD scheme for Maxwell's curl equations and building the ADI-FDTD scheme as a second-order-in-time perturbation of the CN-FDTD scheme. We...