Title :
Comparative study of absorbing boundary conditions for the time-domain beam propagation method
Author :
Shibayama, Jun ; Takahashi, Tomokazu ; Yamauchi, Junji ; Nakano, Hisamatsu
Author_Institution :
Coll. of Eng., Hosei Univ., Koganei, Japan
fDate :
4/1/2001 12:00:00 AM
Abstract :
Various absorbing boundary conditions (ABCs) are compared in the analysis of the time-domain finite-difference beam propagation method. For a one-dimensional problem, the following ABCs are tested: Higdon´s absorbing boundary, Ramahi´s complementary operators method (COM), its concurrent version (C-COM) and Berenger´s perfectly matched layer (PML). It is found that the second- and third-order C-COMs with three and four boundary cells are comparable to the PMLs with eight and 16 cells, respectively. The effectiveness of the C-COM is also discussed in a two-dimensional problem.
Keywords :
boundary-value problems; finite difference time-domain analysis; light absorption; optical waveguide theory; optical waveguides; 1D problem; 2D problem; Berenger´s perfectly matched layer; Higdon´s absorbing boundary; Ramahi´s complementary operators method; absorbing boundary conditions; boundary cells; optical waveguide analysis; time-domain beam propagation method; time-domain finite-difference beam propagation method; two-dimensional problem; Boundary conditions; Computational efficiency; Finite difference methods; Frequency domain analysis; Optical computing; Optical propagation; Optical waveguides; Perfectly matched layers; Testing; Time domain analysis;
Journal_Title :
Photonics Technology Letters, IEEE
