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UNCONDITIONALLY STABLE LEAPFROG ADI-FDTD METHOD FOR LOSSY MEDIA

By T. H. Gan and E. L. Tan

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Abstract:
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.

Citation:
T. H. Gan and E. L. 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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