An efficient and stability-improved finite-difference time-domain (FDTD) method with auxiliary difference equations (ADE) for cold magnetized plasma is developed in this paper. The two equations of Ampere's law and the auxiliary equation for plasma are unified as a single equation at first. Then the leapfrog difference scheme is applied to it and Faraday's law, respectively. By introducing a mid-term computation into the unified equation, the iterative equations of the ADE-FDTD for plasma are derived. Its stability condition remains the same as that of a vacuum which is analyzed and numerically verified. Numerical experiments show that our proposed method is more efficient than those provided by others but with the same accuracy. Finally, the transmission properties of a magnetized plasmonic slab are investigated. The reflection and transmission coefficients of the right-circularly-polarized (RCP) and left-circularly-polarized (LCP) waves are calculated. The results show that our proposed method can be applied to study these plasma-based structures accurately and efficiently.
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