Non‐reflective planar boundary condition based on Gauss filter

Published in Int. J. Numer. Meth. Engng. Vol. 47 (5), pp. 969-983, 2000
doi: 10.1002/(SICI)1097-0207(20000220)47:5<969::AID-NME812>3.0.CO;2-9

Abstract

A non‐reflecting boundary condition based on the Gauss filter is employed for the determination of scattered potential governed by the equation. A filtering layer is used for closing infinite domain calculations. An expression for the reflection coefficient is derived and an optimal filtering layer is designed. Numerical results validate the performance of this method for unbounded wave guide problems.