Fast three-dimensional generalized rectangular wide-angle beam propagation method using complex jacobi iteration

Journal of the Optical Society of America B: Optical Physics

Volumn 26, Issue 7, 2009, Pages 1469-1472

  Le, Khai Q ^a   Bienstman, Peter ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS;

APPROXIMANTS; DIRECT MATRIX INVERSION; EXECUTION SPEED; JACOBI ITERATION; PERFORMANCE COMPARISON; PROPAGATION EQUATIONS; PROPAGATION STEP; WIDE-ANGLE BEAM PROPAGATION METHODS;

BEAM PROPAGATION METHOD;

EID: 67849086953     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.26.001469     Document Type: Article

References (13)

1. R. Scarmozzino, A. Gopinath, R. Pregla, and S. Helfert, "Numerical techniques for modeling guided-wave photonic devices," IEEE J. Sel. Top. Quantum Electron. 6, 150-161 (2000).
2. F. A. Milinazzo, C. A. Zala, and G. H. Brooke, "Rational square root approximations for parabolic equation algorithms," J. Acoust. Soc. Am. 101, 760-766 (1997).
3. T. Anada, T. Hokazono, T. Hiraoka, J. P. Hsu, T. M. Benson, and P. Sewell, "Very-wide-angle beam propagation methods for integrated optical circuits," IEICE Trans. Electron. E82-C, 1154-1158 (1999).
4. G. R. Hadley, "Wide-angle beam propagation using Padé approximant operators," Opt. Lett. 17, 1426-1428 (1992).
5. K. Q. Le, "Complex Padé approximant operators for wideangle beam propagation," Opt. Commun. 282, 1252-1254 (2009).
6. P. Sewell, T. M. Benson, T. Anada, and P. C. Kendall, "Bi-oblique propagation analysis of symmetry and assymetry Y-junctions," J. Lightwave Technol. 15, 688-696 (1997).
7. D. Z. Djurdjevic, T. M. Benson, P. Sewell, and A. Vukovic, "Fast and accurate analysis of 3D curved optical waveguide couplers," J. Lightwave Technol. 22, 2333-2340 (2004).
8. T. M. Benson, P. Sewell, S. Sujecki, and P. C. Kendall, "Structure related beam propagation," Opt. Quantum Electron. 31, 689-793 (1999).
9. G. R. Hadley, "Slanted-wall beam propagation," J. Lightwave Technol. 25, 2367-2375 (2007).
10. S. Sujecki, "Wide-angle, finite-difference beam propagation in oblique coordinate system," J. Opt. Soc. Am. A 25, 138-145 (2008).
11. S. Sujecki, "Generalized rectangular finite difference beam propagation," Appl. Opt. 47, 4280-4286 (2008).
12. G. R. Hadley, "Multistep method for wide-angle beam propagation," Opt. Lett. 17, 1743-1745 (1992).
13. K. Q. Le, R. G. Rubio, P. Bienstman, and G. R. Hadley, "The complex Jacobi iterative method for three-dimensional wide-angle beam propagation," Opt. Express 16, 17021-17030 (2008).