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    A new method enhances the complying divergence implicit finite-difference time-domain (CDI-FDTD) technique for simulating anisotropic and dispersive media. This accurate and stable approach is validated through various electromagnetic simulations.

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    Area of Science:

    • Computational Electromagnetics
    • Numerical Methods in Physics

    Background:

    • The leapfrog complying divergence implicit finite-difference time-domain (CDI-FDTD) method offers high accuracy and unconditional stability.
    • Simulating electrically anisotropic and dispersive media presents significant computational challenges.

    Purpose of the Study:

    • To reformulate the CDI-FDTD method for simulating general anisotropic and dispersive media.
    • To integrate the auxiliary differential equation (ADE) method for solving polarization currents within the CDI-FDTD framework.

    Main Methods:

    • The auxiliary differential equation (ADE) method is used to solve polarization currents.
    • The reformulated method is integrated into the CDI-FDTD framework with iterative formulae.
    • Von Neumann analysis is employed to confirm unconditional stability.

    Main Results:

    • The proposed method accurately simulates transmission, reflection, and scattering properties.
    • Numerical results for monolayer graphene, magnetized plasma, and cubic plasma are presented.
    • The method demonstrates superior accuracy and efficiency compared to traditional FDTD and analytical methods.

    Conclusions:

    • The reformulated CDI-FDTD method effectively simulates general anisotropic and dispersive media.
    • The integration of ADE enhances the capability for complex material simulations.
    • The method provides a robust and efficient tool for electromagnetic analysis.