Numerical solutions for open-region electromagnetic problems based on
differential equations require some means of truncating the computatio
nal domain. A number of local Radiation Boundary Conditions (RBCs) for
general boundary shapes have been proposed during the past decade. Ma
ny are generalizations of the Bayliss-Turkel RBC for circular truncati
on boundaries. This paper reviews several two-dimensional RBCs for gen
eral truncation boundaries. The RBCs are evaluated on the basis of the
ir performance on two separate numerical tests: the annihilation of te
rms in the Hankel series and the comparison of near-field and radar cr
oss sections for finite element solutions to scattering problems. Thes
e tests suggest that the simpler RBCs can be very competitive with RBC
s based on more sophisticated derivations.