Complete Radiation Boundary Conditions for Maxwell’s Equations


  • Thomas Hagstrom Department of Mathematics Southern Methodist University Dallas TX, USA
  • John Lagrone Department of Mathematics Tulane University New Orleans LA, USA


radiation boundary conditions, time-domain methods


We describe the construction, analysis, and implementation of arbitrary-order local radiation boundary condition sequences for Maxwell’s equations. In particular we use the complete radiation boundary conditions which implicitly apply uniformly accurate exponentially convergent rational approximants to the exact radiation boundary conditions. Numerical experiments for waveguide and free space problems using high- order discontinuous Galerkin spatial discretizations are presented.


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How to Cite

Thomas Hagstrom, & John Lagrone. (2020). Complete Radiation Boundary Conditions for Maxwell’s Equations. The Applied Computational Electromagnetics Society Journal (ACES), 35(11), 1290–1291. Retrieved from