OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 20 — Oct. 1, 2007
  • pp: 12605–12618

A new conformal radiation boundary condition for high accuracy finite difference analysis of open waveguides

P. Kowalczyk and M. Mrozowski  »View Author Affiliations

Optics Express, Vol. 15, Issue 20, pp. 12605-12618 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (296 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A highly accurate radiation boundary condition for finite difference analysis of open waveguides is introduced. The boundary condition is applicable to the structures embedded in a homogeneous medium and fitted to the cross section of the structure. The numerical tests carried out for a few types of waveguides including microstructured fibers showed that the proposed approach improves the accuracy by about an order of magnitude in comparison with the PML technique and eliminates all its disadvantages.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.2400) Fiber optics and optical communications : Fiber properties

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: April 4, 2007
Revised Manuscript: April 27, 2007
Manuscript Accepted: April 27, 2007
Published: September 17, 2007

P. Kowalczyk and M. Mrozowski, "A new conformal radiation boundary condition for high accuracy finite difference analysis of open waveguides," Opt. Express 15, 12605-12618 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Z. Zhu, T.G. Brown, "Full-vectorial finite-difference analysis of microstructured optical fibers," Opt. Express 10, 853-864 (2002), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853. [PubMed]
  2. S. Guo, Feng Wu, S. Albin, H. Tai, R. S. Rogowski,"Loss and dispersion analysis of microstructured fibers by finite-difference method," Opt. Express 12, 3341-3352 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341. [CrossRef] [PubMed]
  3. P. Kowalczyk, M. Wiktor, M. Mrozowski, "Efficient finite difference analysis of microstructured optical fibers," Opt. Express 13, 10349-10359 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-25-10349. [CrossRef] [PubMed]
  4. A. Taflove, S.C. Hagness, "Computational electrodynamics: the finite-difference time-domain method," Artech House, Boston (2005), 3rd edn.
  5. J.P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994). [CrossRef]
  6. G.R. Hadley, "Transparent boundary condition for the beam propagation method," IEEE J. Quantum Electron.,  28, 363-370 (1992). [CrossRef]
  7. H.P. Uranus, H.J.W.M. Hoekstra, "Modeling of microstructured waveguides using a finite-element-based vectorial mode solver with transparent boundary conditions," Opt. Express 12, 2795-2809 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2795. [CrossRef] [PubMed]
  8. H. Rogier, D. De Zutter, "Berenger and Leaky Modes in Microstrip Substrates Terminated by a Perfectly Matched Layer," IEEE Trans. Microwave Theory Tech. 49, 712-715 (2001). [CrossRef]
  9. H. Rogier, D. De Zutter, "Berenger and Leaky Modes in Optical Fibers Terminated with a Perfectly Matched Layer," J. Lightwave Technol.,  20, 1141 - 1148 (2002). [CrossRef]
  10. E.M. Kartchevski, A.I. Nosich, G.W. Hanson, "Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber," J. Appl. Math. 65, 2033 - 2048 (2005).
  11. C.D. Meyer, "Matrix analysis and applied linear algebra", SIAM, Philadelphia (2000).
  12. N. Kaneda, B. Houshmand, T. Itoh, "FDTD analysis of dielectric resonators with curved surfaces," IEEE Trans. Microwave Theory Tech. 45, 1645-1649 (1997). [CrossRef]
  13. T.P. White, B.T. Kuhlmey, R.C. McPhedran, D. Maystre, R. Ranversez, C.M. de Sterke, L.C. Botten, M.J. Steel, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am. B 19, 2322-2330 (2002). [CrossRef]
  14. N.A. Issa, L. Poladian, "Vector Wave Expansion Method for Leaky Modes of Microstructured Optical Fibers," J. Lightwave Technol. 21, 1005-1012 (2003). [CrossRef]

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