Bandpass Unconditionally Stable Ce-Bor-PML Scheme With CNDG Algorithm for Rotational Symmetric Simulation

Abstract

Unconditionally stable approximate Crank-Nicolson (CN) perfectly matched layer (PML) implementation is proposed to treat open region problems for a bandpass rotational symmetric structure. To be more specific, this implementation is based upon the CN Douglas-Gunn (DG) procedure and the complex envelope (CE) method in body of revolution (BOR) finite-difference time-domain (FDTD) lattice. The proposed scheme inherits the advantages of the CNDG procedure, CE method, and BOR-FDTD algorithm which can improve the efficiency, enhance the absorption, and maintain the calculation accuracy. The effectiveness which includes accuracy, efficiency, occupied resources, and absorption is illustrated through a numerical example. The numerical results reveal that the proposed scheme provides considerable accuracy, creditable absorption, and outstanding efficiency. Meanwhile, it can also verify that the proposed scheme is stable without the limitation of Courant-Friedrich-Levy (CFL) condition.

ICN‐FDTD scheme with absorption boundary condition for nonuniform rotational symmetric geometrics

“…Here, coaxial cylinder structure with fine details is employed which can be regarded as nonuniform rotational symmetric geometrics, as shown in Figure 2A. For comparison, different PML algorithms are employed including FDTD‐PML in reference 25, subgridding in reference 26, original CN‐PML in reference 27, CNAD‐PML in reference 28, CNDG‐PML in reference 29. The proposed scheme is denoted as sub‐ICN‐PML for simplified demonstration.…”