Abstract
An exact nonreflecting boundary condition is derived for solutions of the time dependent wave equation in three space dimensions. It holds on a spherical artificial boundary and is local in time, but nonlocal in space. It can be reduced to a boundary condition local in space and time for solutions consisting of a finite number of spherical harmonics. The boundary condition is related to the Dirichlet-to-Neumann boundary condition for the Helmholtz equation. It can be used in scattering problems as well as in problems involving nonlinearity in a bounded region of space.
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