A higher-order spatial FDTD scheme with CFS PML for 3D numerical simulation of wave propagation in cold plasma

TL;DR

This paper introduces a higher-order 3D FDTD method with CFS PML for simulating wave propagation in cold plasma, improving accuracy and reducing dispersion errors in numerical modeling.

Contribution

It develops a novel higher-order FDTD framework with complex frequency-shifted PML for cold plasma, including stability analysis and validation against analytical solutions.

Findings

Higher-order schemes exhibit lower dispersion errors.

The proposed method achieves high accuracy in wave propagation modeling.

Stability criteria are established for different schemes.

Abstract

A novel 3-D higher-order finite-difference time-domain framework with complex frequency-shifted perfectly matched layer for the modeling of wave propagation in cold plasma is presented. Second- and fourth-order spatial approximations are used to discretize Maxwell's curl equations and a uniaxial perfectly matched layer with the complex frequency-shifted equations is introduced to terminate the computational domain. A numerical dispersion study of second- and higher-order techniques is elaborated and their stability criteria are extracted for each scheme. Comparisons with analytical solutions verify the accuracy of the proposed methods and the low dispersion error of the higher-order schemes.