This paper presents an unconditionally stable threedimensional (3-D) leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method for lossy media. Conductivity terms of lossy media are incorporated into the leapfrog ADI-FDTD method in an analogous manner as the conventional explicit FDTD method since the leapfrog ADI-FDTD method is a perturbation of the conventional explicit FDTD method. Implementation of the leapfrog ADI-FDTD method for lossy media with special consideration for boundary condition is provided. Numerical results and examples are presented to validate the formulation.
Theng Huat Gan,
Eng Leong Tan,
"Unconditionally Stable Leapfrog Adi-FDTD Method for Lossy Media," Progress In Electromagnetics Research M,
Vol. 26, 173-786, 2012. doi:10.2528/PIERM12090307
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