Abstract

For the first time, the current density convolution finite-difference time-domain (JEC-FDTD) method is extended to dispersive media using Crank–Nicolson difference scheme, and derive the one-dimensional JEC-CN-FDTD iterative equation of plasma. The incomplete Cholesky conjugate gradient (ICCG) is proposed to solve the large sparse matrix equation in the Crank–Nicolson finite-difference time-domain (CN-FDTD) method as the ICCG method improves speed of convergence, enhances stability and reduces memory consumption. The high accuracy and efficiency of the JEC-CN-FDTD method are confirmed by computing the characteristic parameters of electromagnetic wave through a collision plasma slab in one dimension, such as the reflection electric field, transmission electric field, magnitudes and phases of reflection coefficient and transmission coefficient. The results prove that the method performs stably, is of accuracy, and has certain advantages.

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