A Stability Analysis of the Perfectly Matched Layer Method
Final rept. 1 Jul-12 Nov 1999
AIR FORCE RESEARCH LAB KIRTLAND AFB NMDIRECTED ENERGY DIRECTORATE
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We perform a detailed stability analysis based on the unsplit-field uniaxial perfectly matched layer PML formulation. Our finding shows that it is essential to have transverse field gradients present at all times to stabilize PML calculations. In the absence of transverse field gradients, the PML method becomes unstable with the axial field components growing linearly in time.
- Electricity and Magnetism