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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry Van Driel
  • Vol. 26, Iss. 7 — Jul. 1, 2009
  • pp: 1469–1472

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

Khai Q. Le and Peter Bienstman  »View Author Affiliations


JOSA B, Vol. 26, Issue 7, pp. 1469-1472 (2009)
http://dx.doi.org/10.1364/JOSAB.26.001469


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Abstract

A fast and efficient three-dimensional generalized rectangular wide-angle beam propagation method (GR-WA-BPM) based on a recently proposed modified Padé (1,1) approximant is presented. In our method, at each propagation step, the beam propagation equation is recast in terms of a Helmholtz equation with a source term, which is solved quickly and accurately by a recently introduced complex Jacobi iterative (CJI) method. The efficiency of the GR-WA-BPM for the analysis of tilted optical waveguides is demonstrated in comparison with the standard wide-angle beam propagation method based on Hadley’s scheme. In addition, since the utility of the CJI method depends mostly on its execution speed in comparison with the traditional direct matrix inversion, several performance comparisons are also presented.

© 2009 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(220.2560) Optical design and fabrication : Propagating methods
(350.5500) Other areas of optics : Propagation

ToC Category:
Propagation

History
Original Manuscript: March 3, 2009
Revised Manuscript: May 19, 2009
Manuscript Accepted: May 21, 2009
Published: June 29, 2009

Citation
Khai Q. Le and Peter Bienstman, "Fast three-dimensional generalized rectangular wide-angle beam propagation method using complex Jacobi iteration," J. Opt. Soc. Am. B 26, 1469-1472 (2009)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-7-1469


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References

  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). [CrossRef]
  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). [CrossRef]
  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). [CrossRef] [PubMed]
  5. K. Q. Le, “Complex Padé approximant operators for wide-angle beam propagation,” Opt. Commun. 282, 1252-1254 (2009). [CrossRef]
  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). [CrossRef]
  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). [CrossRef]
  8. T. M. Benson, P. Sewell, S. Sujecki, and P. C. Kendall, “Structure related beam propagation,” Opt. Quantum Electron. 31, 689-793 (1999). [CrossRef]
  9. G. R. Hadley, “Slanted-wall beam propagation,” J. Lightwave Technol. 25, 2367-2375 (2007). [CrossRef]
  10. S. Sujecki, “Wide-angle, finite-difference beam propagation in oblique coordinate system,” J. Opt. Soc. Am. A 25, 138-145 (2008). [CrossRef]
  11. S. Sujecki, “Generalized rectangular finite difference beam propagation,” Appl. Opt. 47, 4280-4286 (2008). [CrossRef] [PubMed]
  12. G. R. Hadley, “Multistep method for wide-angle beam propagation,” Opt. Lett. 17, 1743-1745 (1992). [CrossRef] [PubMed]
  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). [CrossRef] [PubMed]

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