Perfectly matched layers for Maxwell's equations in second order formulation

Journal Article · Mon Jul 26 04:00:00 EDT 2004 · Journal of Computational Physics

OSTI ID:15016551

Sjogreen, B; Petersson, A

We consider the two-dimensional Maxwell's equations in domains external to perfectly conducting objects of complex shape. The equations are discretized using a node-centered finite-difference scheme on a Cartesian grid and the boundary condition are discretized to second order accuracy employing an embedded technique which does not suffer from a ''small-cell'' time-step restriction in the explicit time-integration method. The computational domain is truncated by a perfectly matched layer (PML). We derive estimates for both the error due to reflections at the outer boundary of the PML, and due to discretizing the continuous PML equations. Using these estimates, we show how the parameters of the PML can be chosen to make the discrete solution of the PML equations converge to the solution of Maxwell's equations on the unbounded domain, as the grid size goes to zero. Several numerical examples are given.

• Research Organization: Lawrence Livermore National Lab., Livermore, CA (US)
• Sponsoring Organization: US Department of Energy (US)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 15016551
• Report Number(s): UCRL-JRNL-205595
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 209; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
ACCURACY
BOUNDARY CONDITIONS
SHAPE