OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 25 — Dec. 12, 2005
  • pp: 10349–10359

Efficient finite difference analysis of microstructured optical fibers

P. Kowalczyk, M. Wiktor, and M. Mrozowski  »View Author Affiliations

Optics Express, Vol. 13, Issue 25, pp. 10349-10359 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (120 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new technique of numerical analysis of microstructured optical fibers is presented. The technique combines a standard 2D finite difference equations with the discrete function expansion. By doing this one gets a matrix eigenvalue problem of a smaller size and a simple formulation of radiation boundary condition. The new algorithm was tested for the microstructures of different types and excellent agreement of the obtained results with other methods was achieved.

© 2005 Optical Society of America

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

ToC Category:
Research Papers

P. Kowalczyk, M. Wiktor, and M. Mrozowski, "Efficient finite difference analysis of microstructured optical fibers," Opt. Express 13, 10349-10359 (2005)

Sort:  Journal  |  Reset  


  1. P. Russell, "Photonic Crystal Fibers," Science 299, 358-362 (2003). [CrossRef] [PubMed]
  2. C. Kerbage, B. J. Eggleton, "Numerical analysis and experimental design of tunable birefringence in microstructured optical fiber," Opt. Express 10, 246-255 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-5-246">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-5-246</a>. [PubMed]
  3. T.P. White, R.C. McPhedran, C.M. de Sterke, L.C. Botten, M.J. Steel, "Confinement losses in microstructured optical fibers," Opt. Lett. 26, 1660-1662 (2001). [CrossRef]
  4. 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]
  5. D. Ferrarini, L. Vincetti, M. Zoboli, A. Cucinotta, and S. Selleri, "Leakage properties of photonic crystal fibers," Opt. Express 10, 1314-1319 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-23-1314">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-23-1314</a>. [PubMed]
  6. 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), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2795">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2795</a>. [CrossRef] [PubMed]
  7. Z.Zhu, T.G. Brown, "Full-vectorial finite-difference analysis of microstructured optical fibers," Opt. Express 10, 853-864 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853</a>. [PubMed]
  8. Shangping Guo, Feng Wu, Sacharia Albin, Hsiang Tai, Robert S. Rogowski,"Loss and dispersion analysis of microstructured fibers by finite-difference method," Opt. Express 12, 3341-3352 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341</a>. [CrossRef] [PubMed]
  9. J.P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994). [CrossRef]
  10. J.P. Berenger, "Perfectly matched layer for the FDTD solution of wave-structure. Interaction problems," IEEE Trans. Microwave Theory Tech. 44, 110-117 (1996).
  11. 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]
  12. A. Bayliss, M. Gunzburger, E. Turkel, "Boundary conditions for the numerical solution of elliptic equations in exterior regions," SIAM J. Appl. Math. 42, 430-451 (1982). [CrossRef]
  13. T.Weiland, "VerlustbehafteteWellenleiter mit beliebiger. Randkontur und Materialverteilung," AEU 33, 170-174 (1979).
  14. N. Kaneda, B. Houshmand, T. Itoh, "FDTD analysis of dielectric resonators with curved surfaces," IEEE Trans. Microwave Theory Tech. 45, 1645-1649 (1997). [CrossRef]
  15. M. Mrozowski, "A Hybrid PEE-FDTD Algorithm for Accelerated Time Domain Analysis of Electromagnetic Waves," IEEE Microwave and Guided Wave Letters 4, 323-325 (1994). [CrossRef]
  16. M. Mrozowski, M. Okoniewski, M.A. Stuchly, "A hybrid PEE- FDTD method for efficient field modeling in cyllindrical coordinates," Electronics Letters 32, 194-195 (1996). [CrossRef]
  17. M. Wiktor, M. Mrozowski,"Efficient Analysis of Waveguide Components Using a Hybrid PEE-FDFD Algorithm," IEEE Microwave and Wireless Components Letters 13, 396-398 (2003). [CrossRef]
  18. C.D. Meyer, "Matrix analysis and applied linear algebra", SIAM, Philadelphia (2000).
  19. M.Wiktor, M. Mrozowski,"Discrete Projection for Finite Difference Methods," 20th Annual Review or Progress in Applied Computational Electromagnetics, Syracuse NY 2004, Conf. proceedings, S04P08.
  20. N.A. Issa, L. Poladian, "VectorWave 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