Two-way parabolic equation techniques are based on replacing normal derivat
ives with one-way operators on scattering surfaces and iterating for the so
lution. This approach is extended to diffraction and scattering problems in
volving perfectly reflecting boundaries. Accuracy is demonstrated for the S
ommerfeld diffraction problem. Two-way parabolic equation solutions are als
o presented for problems involving a diffraction grating, scattering in a w
aveguide, and diffraction of surface gravity waves by a seawall. (C)2000 El
sevier Science B.V. All rights reserved.