OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 24 — Nov. 27, 2006
  • pp: 11796–11803

Accurate analysis of planar optical waveguide devices using higher-order FDTD scheme

Fanmin Kong, Kang Li, and Xin Liu  »View Author Affiliations


Optics Express, Vol. 14, Issue 24, pp. 11796-11803 (2006)
http://dx.doi.org/10.1364/OE.14.011796


View Full Text Article

Enhanced HTML    Acrobat PDF (276 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A higher-order finite-difference time-domain (HO-FDTD) numerical method is proposed for the time-domain analysis of planar optical waveguide devices. The anisotropic perfectly matched layer (APML) absorbing boundary condition for the HO-FDTD scheme is implemented and the numerical dispersion of this scheme is studied. The numerical simulations for the parallel-slab directional coupler are presented and the computing results using this scheme are in highly accordance with analytical solutions. Compared with conventional FDTD method, this scheme can save considerable computational resource without sacrificing solution accuracy and especially could be applied in the accurate analysis of optical devices.

© 2006 Optical Society of America

OCIS Codes
(200.0200) Optics in computing : Optics in computing
(230.7390) Optical devices : Waveguides, planar

ToC Category:
Optical Devices

History
Original Manuscript: August 15, 2006
Revised Manuscript: October 9, 2006
Manuscript Accepted: November 11, 2006
Published: November 27, 2006

Citation
Fanmin Kong, Kang Li, and Xin Liu, "Accurate analysis of planar optical waveguide devices using higher-order FDTD scheme," Opt. Express 14, 11796-11803 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-24-11796


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. K. S. Yee, "Numerical solution of initial boundary value problem involving Maxwell’s equation in isotropic media," IEEE Trans. Antennas Propag. 14, 302-307 (1996).
  2. S. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," IEEE, J. Lightwave Technol. 7, 2033-2038 (1989). [CrossRef]
  3. W. Huang, C. L. Xu and A. Goss, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett. 3, 524-526 (1991). [CrossRef]
  4. K. L. Shlager and J. B. Schneider, "Comparison of the dispersion properties of several low dispersion finite-difference time-domain algorithms," IEEE Trans. Antennas and Propag. 51, 642-653 (2003). [CrossRef]
  5. Q. H. Liu, "The pseudospectral time-domain (PSTD) method: a new algorithm for solution of Maxwell’s equations," IEEE Antennas Propag. Soc. Int. Symp. 1,122-125 (1997).
  6. M. Krumpholz and L. P. B. Katehi. "MRTD New time-domain schemes based on multiresolution analysis." IEEE Trans. Microwave Theory Tech. 44, 555-571 (1996). [CrossRef]
  7. J. Fang, "Time Domain Finite Difference Computation for Maxwell’s Equations," PhD thesis, (Univ. California, Berkeley, 1989).
  8. C. W. Manry, S. L. Broschat, and J. B. Schneider, "Higher-order FDTD methods for large problems," Appl. Comput. Electromagn. Soc. J. 10, 17-29 (1995).
  9. K. L. Shlager and J. B. Schneider, "Comparison of the dispersion properties of higher order FDTD schemes and equivalent-sized MRTD schemes," IEEE Trans. Antennas and Propag. 52,1095-1104 (2004). [CrossRef]
  10. M. L. Ghrist, "High order finite difference methods for wave equations," M. S. dissertation, (University of Colorado, 1997).
  11. E. M. Tentzeris, R. L. Robertson, and J. F. Harvey, "Stability and dispersion analysis of Battle -Lemarie-Based MRTD schemes," IEEE Trans. Microwave Theory Tech. 47, 1004-1012 (1999). [CrossRef]
  12. J. P. Berenger, "A perfectly match layer for the absorption of electromagnetic waves," J. Comput. Phys. 114,185-200 (1994). [CrossRef]
  13. S. D. Gedney. "An anisotropic perfectly matched layer-absorbing medium for truncation of FDTD lattices," IEEE Trans. Antennas and Propag. 44, 1630-1639 (1996). [CrossRef]
  14. A. Yefet and P. G. Petropoulos, "A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell’s equations," J. Comput. Phys. 168, 286-315 (2001). [CrossRef]
  15. K. Okamoto, Fundamentals of optical waveguides, (Academic Press, 2000).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited