An Analysis of Stable Extrapolation Operators with Absorbing Boundaries
, by Daniel Rothman and Jeff Thorson
The range of stable boundary conditions for finite difference
wave extrapolation are defined analytically for any degree
of approximation of the exact paraxial wave equation, given constant velocity.
Eigenvalues and eigenvectors of stable extrapolation operators are presented,
along with a numerical study of reflection coefficients arising from
imperfectly absorbing boundaries.
STANFORD