Convolutional perfectly matched layer (CPML) for fundamental LOD-FDTD method with 2nd order temporal accuracy and complying divergence

This paper extends the unconditionally stable locally one-dimensional finite-difference time-domain method with second-order temporal accuracy and complying divergence (denoted as LOD2-CD-FDTD) by incorporating the convolutional perfectly matched layer (CPML). To further enhance efficiency, the LOD2-CD-FDTD method with CPML is formulated into the fundamental form with the simplest and most concise right-hand sides free of matrix operators. The explicit output processing of the LOD2-CD-FDTD method has complying divergence, and it is also independent of the CPML media. Numerical results are presented to validate the formulation.