Analysis of cylindrical CFS-PML ABC for 2-D finite volume simulations in the frequency domain

A comparative analysis of two cylindrical complex-frequency-shifted perfectly matched layers (CFS-PML) absorbing boundary condition (ABC) for bi-dimensional (2-D) finite volume (FV) simulations in the frequency domain is presented. We study the impact of CFS-PML parameters on the condition number of the FV system matrix by comparing the performance of two PML loss profiles, viz., polynomial and geometric grading. The discretization error due to FV approximation is also examined. FV results are validated against analytical solution. Results show that both profiles have similar performance in terms of absorption wave and conditioning of the system matrix.