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Highly efficient absorbing boundary conditions for the beam propagation method

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2 Author(s)
Vassallo, C. ; CNET, Lannion, France ; Collino, F.

Two kinds of absorbing boundary conditions for the finite difference BPM are investigated, namely the operation of Berenger layers and the use of a mere nth-order differential relation with constant coefficients (UABC-n). Practical formulas are given for their implementation and their optimization is discussed. Their efficiency is demonstrated in 2-D test problems where the Hadley technique fails. Berenger layers with 5 to 10 points or 6th-order UABC should be useful for most practical problems. The extra numerical cost in 3-D problems should be either near negligible (UABC) or quite moderate (Berenger layers)

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Lightwave Technology, Journal of  (Volume:14 ,  Issue: 6 )