The operation of highly efficient transparent boundary conditions for finite difference beam propagation method (BPM, Berenger layers and "UTBC-q") is extended to fourth-order finite difference discretization. The efficiency of Berenger layers is strongly enhanced; five-point layers can be considered a practical TBC for three-dimensional (3-D) computations. On the other hand, problems exist where UTBC-q fails.
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Vassallo et al. (1997) studied this question.
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