A Novel and Efficient Implementation of Higher Order CPML for Truncating the Unmagnetized Plasma

Abstract

A novel and efficient higher order convolutional perfectly matched layer (CPML) method is put forward and also applied to cut off the finite-difference time-domain (FDTD) computational domain full of the unmagnetized plasma. A Drude model can be used to represent the unmagnetized plasma, and the plasma can be solved by using the trapezoidal recursive convolution (TRC) method. In order to verify the validity of the presented method, a numerical example in three-dimensional computational domain is provided. The numerical example results show that the proposed formulations have better absorbing performance than the first-order CPML in terms of attenuating low-frequency and evanescent waves. Besides, by using the proposed method, computational time and memory can be reduced compared to the second order PML implemented by using the auxiliary differential equation (ADE) method.

Bandpass signal formulation with hybrid implicit‐explicit procedure in open regions for unmagnetized plasma

“…52 Recently, higher order convolutional PML is carried out for unmagnetized simulation. 53 The CE method is introduced into unconditionally stable schemes in References 38,39 and 40. In conclusion, FDTD-PML in Reference 45, LADI-PML in Reference 46, FDTD-HPML in Reference 53, CE-ADI-HPML in Reference 38, and HIE-PML are chosen for comparison.…”

Novel higher order convolutional perfectly matched layer based on complex envelope ADI‐FDTD algorithm for truncating the unmagnetized plasma

“…However, the absorption effect of the first order CPML (FO‐CPML) for low‐frequency propagation waves is not ideal. Recently, many scholars are studying the higher order CPML (HO‐CPML) algorithm and applying it to various FDTD algorithms 10,11 . Through a large number of research data verification, the higher order PML has stronger absorption capacity, and is now the focus of PML algorithm research.…”