Title :
Highly efficient absorbing boundary conditions for the beam propagation method
Author :
Vassallo, Charles ; Collino, Francis
Author_Institution :
CNET, Lannion, France
fDate :
6/1/1996 12:00:00 AM
Abstract :
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)
Keywords :
absorption coefficients; boundary-value problems; finite difference methods; light absorption; optical waveguide theory; optimisation; 2-D test problems; 3-D problems; Berenger layers; absorbing boundary conditions; beam propagation method; constant coefficients; finite difference BPM; highly efficient absorbing boundary conditions; nth-order differential relation; numerical cost; optical waveguide theory; optimization; Boundary conditions; Computational modeling; Costs; Finite difference methods; Helium; Microwave propagation; Optical propagation; Optical reflection; Schrodinger equation; Testing;
Journal_Title :
Lightwave Technology, Journal of
