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针对递归卷积方法只适合于随频率变化比较平滑的色散介电常数情况,提出一种可以把色散(频变)介电常数直接嵌入时域有限差分的算法(FDTD).将随频率变化的色散介电常数用Debye有理函数近似,修正后的离散冲激响应用非等步长的离散时域表达直接和FDTD算法进行卷积.结果表明:用此方法的仿真结果和用递归卷积方法仿真的结果进行比较后发现2种仿真结果吻合很好.表明该方法准确、稳定,适用于色散介电常数随着频率变化非常复杂的情况.
Aiming at the problem that the recursive convolution method is only suitable for the case of the dispersion dielectric permittivity with the change of frequency, a new FDTD method is proposed to directly embed the dielectric constant of dispersion (frequency-dependent) into the FDTD. The dispersion dielectric constant is approximated by the Debye rational function, and the modified discrete impulse response is directly convolved with the FDTD algorithm using non-equal-step discrete time domain representation. The results show that with the simulation results of this method and the recursive convolution method The simulation results show that the two simulation results are in good agreement, which shows that the method is accurate and stable and suitable for the situation that the dispersion dielectric constant varies with frequency.