We present an unconditionally stable weighted Laguerre polynomials (WLPs)-based finite-difference time-domain (FDTD) algorithm for modeling wave propagation in isotropic cold plasma. The plasma effects contributed by electrons and collisions are modeled by current density vectors collocated with the electric field components. The factorization-splitting scheme is employed to translate the large sparse matrix equation in the conventional WLP-FDTD algorithm into two and six tri-diagonal ones for 2-D and 3-D problems, respectively. This procedure significantly improves the efficiency of the WLP-FDTD algorithm in terms of computational expenses. The stretched-coordinate perfectly matched layer with a complex-frequency-shifted factor is implemented as the absorbing boundary condition. The accuracy and efficiency of the proposed algorithm are validated by numerical examples.
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Fang et al. (2016) studied this question.
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