Exact nonreflecting boundary conditions are derived for the time depen
dent Maxwell equations in three space dimensions. These conditions hol
d on a spherical surface B, outside of which the medium is assumed to
be homogeneous, isotropic, and source-free. They are local in time and
nonlocal on B, and they do not involve high-order derivatives. Thus,
they are easy to incorporate into finite difference or finite element
methods. These boundary conditions are similar to the exact nonreflect
ing boundary conditions for the scalar wave equation which yield high
numerical accuracy. (C) 1998 Academic Press.