We present an analysis of the perfectly matched layer in cylindrical coordinates discretized with a staggered second-order accurate finite difference time domain method. For fixed discretization parameters, layer width, and a quadratic loss function, we find the numerical reflection produced by the discrete layer is accurately predicted by the infinite resolution reflection coefficient for σmax ∈ [0, σmaxc],where σmax is the maximum value of the absorption parameter in the layer. We also find that the finite resolution reflection coefficient achieves its minimum value at a σmaxm > σmaxc Numerical experiments validate the analysis.
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
- Absorbing boundary conditions
- Maxwell's equations
- Perfectly matched layers