TY - JOUR
T1 - Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations
AU - Thomas Hagstrom & Stephen Lau
JO - Journal of Computational Mathematics
VL - 3
SP - 305
EP - 336
PY - 2007
DA - 2007/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8694.html
KW - Maxwell's equations, Radiation boundary conditions, Fast algorithms, Kirchoff
formulas, Perfectly matched layers.
AB - <p style="text-align: justify;">We review time-domain formulations of radiation boundary conditions for Maxwell&#39;s equations, focusing on methods which can deliver arbitrary accuracy at acceptable computational cost. Examples include fast evaluations of nonlocal conditions on symmetric and general boundaries, methods based on identifying and evaluating equivalent sources, and local approximations such as the perfectly matched layer and sequences of local boundary conditions. Complexity estimates are derived to assess work and storage requirements as a function of wavelength and simulation time.</p>