OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 15 — Jul. 26, 2004
  • pp: 3341–3352

Loss and dispersion analysis of microstructured fibers by finite-difference method

Shangping Guo, Feng Wu, Sacharia Albin, Hsiang Tai, and Robert S. Rogowski  »View Author Affiliations


Optics Express, Vol. 12, Issue 15, pp. 3341-3352 (2004)
http://dx.doi.org/10.1364/OPEX.12.003341


View Full Text Article

Enhanced HTML    Acrobat PDF (721 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The dispersion and loss in microstructured fibers are studied using a full-vectorial compact-2D finite-difference method in frequency-domain. This method solves a standard eigen-value problem from the Maxwell’s equations directly and obtains complex propagation constants of the modes using anisotropic perfectly matched layers. A dielectric constant averaging technique using Ampere’s law across the curved media interface is presented. Both the real and the imaginary parts of the complex propagation constant can be obtained with a high accuracy and fast convergence. Material loss, dispersion and spurious modes are also discussed.

© 2004 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Research Papers

History
Original Manuscript: May 28, 2004
Revised Manuscript: July 9, 2004
Published: July 26, 2004

Citation
Shangping Guo, Feng Wu, Sacharia Albin, Hsiang Tai, and Robert Rogowski, "Loss and dispersion analysis of microstructured fibers by finite-difference method," Opt. Express 12, 3341-3352 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-15-3341


Sort:  Journal  |  Reset  

References

  1. J. Broeng, "Photonic crystal fibers: a new class of optical waveguides," Opt. Fiber Technol. 5, 305-330 (1999). [CrossRef]
  2. P. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003). [CrossRef] [PubMed]
  3. A. Bjarklev, J. Broeng, A. S. Bjarklev, Photonic crystal fibres (Kluwer Academic Publishers, Boston/Dordrecht/London, 2003). [CrossRef]
  4. Z. Zhu, T. G. Brown, "Analysis of the space filling modes of photonic crystal fibers," Opt. Express 8, 547- 554 (2001). <a href=" http://www.opticsexpress.org/abstract.cfm?URI=OPEX-8-10-547">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-8-10-547</a. [CrossRef] [PubMed]
  5. A. Ferrando, E. Silvestre, J. J. Miret, P. Andres, "Vector description of higher-order modes in photonic crystal fibers," J. Opt. Soc. Am. A 17, 1333-1339 (2000). [CrossRef]
  6. A. Ferrando, E. Silvestre, J. J. Miret, P. Andres, M. V. Andres, "Full-vector analysis of a realistic photonic crystal fiber," Opt. Lett. 24, 276-278 (1999). [CrossRef]
  7. J. Broeng, S. E. Barkou, T. Sondergaard, A. Bjarklev, "Analysis of air-guiding photonic bandgap fibers," Opt. Lett. 25, 96-98 (2000). [CrossRef]
  8. A. Ferrando, E. Silvestre, J. J. Miret, P. Andres, "Nearly zero ultra-flattened dispersion in photonic crystal fibers," Opt. Lett. 25, 790-792 (2000). [CrossRef]
  9. A. Weisshaar, J. Li, R. L. Gallawa, I. C. Goyal, "Vector and quasi-vector solutions for optical waveguide modes using efficient Galerkin's method with Hermite-Gauss basis functions," J. Lightwave Technol. 13, 1795-1780 (1995). [CrossRef]
  10. W. Zhi, R. Guobing, L. Shuqin, J. Shuisheng, "Supercell lattice method for photonic crystal fibers," Opt. Express 11, 980-991 (2003). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-9-980">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-9-980</a> [CrossRef] [PubMed]
  11. T. M. Monro, D. J. Richardson, N. G. R. Broderick, P. J. Bennett, "Holey optical fibers: an efficient modal model," J Lightwave Technol. 17, 1093-1102 (1999). [CrossRef]
  12. D. Mogilevtsev, T. A. Birks, P. St. J. Russel, "Group-velocity dispersion in photonic crystal fibers," Opt. Lett. 23, 1662-1664 (1998). [CrossRef]
  13. A. Cucinotta, G. Peiosi, S. Selleri, L. Vincetti, M. Zoboli, "Perfectly matched anisotropic layers for optical waveguide analysis through the finite-element beam-propagation method," Microwave Opt. Techn. Lett. 23, 67-69 (1999). [CrossRef]
  14. K. Saitoh, M. Koshiba, "Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides," J. Lightwave Technol. 19, 405-413 (2001). [CrossRef]
  15. K. Saitoh, M. Koshiba, "Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: application to photonic crystal fibers," IEEE J Quantum Electron. 38, 927-933 (2002). [CrossRef]
  16. M. Koshiba, Y. Tsuji, M. Hikari, "Finite element beam propagation method with perfectly matched layer boundary conditions," IEEE Trans. Magnetics 35, 1482-1485 (1999). [CrossRef]
  17. F. Brechet, J. Marcou, D. Pagnoux, P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers by the finite-element method," Opt. Fiber Technol. 6, 181-191 (2000). [CrossRef]
  18. C. Themistos, B. M. A. Rahman, A. Hadjicharalambous, K. T. V. Grattan, "Loss/gain characterization of optical waveguides," J Lightwave Technol. 13, 1760-1765 (1995). [CrossRef]
  19. K. Saitoh, M. Koshiba, T. Hasegawa, E. Sasaoka, "Chromatic dispersion control in photonic crystal fibers: application to ultra-flattened dispersion," Opt. Express 11, 843-852 (2003). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-8-843"> http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-8-843</a> [CrossRef] [PubMed]
  20. M. Koshiba, Y. Tsuji, "Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problems," J. Lightwave Technol. 18, 737-743 (2000). [CrossRef]
  21. S. Guenneau, S. Lasquellec, A. Nicolet, F. Zolla, "Design of photonic crystal fibers using finite elements," International J. Computation and Mathematics in Electrical & Electronics Engineering COMPEL 21, 534-539 (2002). [CrossRef]
  22. S. Guenneau, A. Nicolet, F. Zolla, S. Lasquellec, "Numerical and theoretical study of photonic crystal fibers," Progress in Electromagnetics Research 41, 271-305 (2003).
  23. D. H. Choi, W. J. R. Hoeffer, "The finite-difference time-domain method and its application to eigen-value problems," IEEE Trans. Microwave Theory Tech. 34, 1464-1470 (1986). [CrossRef]
  24. A. Asi, L. Shafai, "Dispersion analysis of anisotropic inhomogeneous waveguides using compact 2D-FDTD," Electron. Lett. 28, 1451-1452 (1992). [CrossRef]
  25. A. C. Cangellaris, "Numerical stability and numerical dispersion of a compact 2D FDTD method used for the dispersion analysis of waveguides," IEEE Microwave Guided Wave Lett. 3, 3-5 (1993). [CrossRef]
  26. F. Zepparelli, P. Mezzanotte, F. Alimenti, L. Roselli, R. Sorrentino , G.Tartarini and P . Bassi, "Rigorous analysis of 3D optical and optoelectronic devices by the Compact-2D-FDTD method," Opt. and Quantum Electron. 31, 827-841 (1999). [CrossRef]
  27. S. Xiao, R. Vahldieck, H. Jin, "Full-wave analysis of guided wave structures using a novel 2-D FDTD," IEEE Microwave Guided Wave Lett. 2, 165-167 (1992). [CrossRef]
  28. N. Kaneda, B. Houshmand, T. Itoh, "FDTD analysis of dielectric resonantors with curved surfaces," IEEE Trans. Microwave Theory Tech. 45, 1645-1649 (1997). [CrossRef]
  29. K. Bierwirth, N. Schulz, F. Arndt, "Finite-difference analysis of rectangular dielectric waveguide structures," IEEE Trans. Microwave Theory Tech. 34, 1104-1113 (1986). [CrossRef]
  30. P. Lusse, P. Stuwe, J. Schule, H. G. Unger, "Analysis of vectorial mode fields in optical waveguides by a new finite difference method," J Lightwave Technol. 12, 487-494 (1994). [CrossRef]
  31. Z. Zhu, T. G. Brown, "Full-vectorial finite-difference analysis of microstructuredd 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> [CrossRef] [PubMed]
  32. T. P. White, B. T. Kuhlmey, R. C. Mcphedran, D. Maystre, G. Renversez, C. M. de Sterke, L. C. Botten, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am. B 19, 2322 (2002). [CrossRef]
  33. D. Marcuse, "Solution of the vector wave equation for general dielectric waveguides by the Galerkin method," IEEE J Quantum Electron. 28, 459-465 (1992). [CrossRef]
  34. S. Guo, F. Wu, K. Ikram, S. Albin, "Analysis of circular fibers with an arbitrary index profile by the Galerkin method," Opt. Lett. 29, 32-34 (2004). [CrossRef] [PubMed]
  35. S. Guo, S. Albin, R. S. Rogowski, "Comparative analysis of Bragg fibers," Opt. Express 12, 198-207 (2004). <a href=" http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-1-198">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-1-207</a> [CrossRef] [PubMed]
  36. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat. 14, 302-307 (1966). [CrossRef]
  37. S. Guo, F. Wu, S. Albin, R. S Rogowski, "Photonic band gap analysis using finite-difference frequency-domain method," Opt. Express 12, 1741-1746 (2004). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1741">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1741</a> [CrossRef] [PubMed]
  38. C. P. Yu, H. C. Chang, "Compact finite-difference frequency-domain method for the analysis of twodimensional photonic crystals," Opt. Express 12, 1397-1408 (2004). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-7-1397">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-7-1397</a> [CrossRef] [PubMed]
  39. H. Y. D. Yang, "Finite difference analysis of 2D photonic crystals," IEEE Trans. Microwave Theory Technol. 44, 2688-2695 (1996). [CrossRef]
  40. N. A. Issa, L. Poladian, "Vector wave expansion method for leaky modes of microstructuredd optical fibers," J. Lightwave Technol. 21, 1005-1012 (2003). [CrossRef]
  41. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J Comp. Phys. 114, 185-200 (1994). [CrossRef]
  42. E. A. Marengo, C. M. Rappaport, E. L. Miller, "Optimum PML ABC conductivity profile in FDFD," IEEE Trans. Magnetics 35, 1506-1509 (1999). [CrossRef]
  43. F. L. Teixeira, W. C. Chew, "Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates," IEEE Microwave Guided Wave Lett. 7, 371-373 (1997). [CrossRef]
  44. F. L. Teixeira, W. C. Chew, "Unified analysis of perfectly matched layers using differential forms," Microwave Opt. Technol. Lett. 20, 124-126 (1999). [CrossRef]
  45. T. Tischler, W. Heinrich, "Accuracy limitations of perfectly matched layers in 3D Finite-difference frequency domain method," IEEE Microwave Theory Tech. 50, 1885-1888 (2002).
  46. U. Pekel, R. Mittra, "An application of the perfectly matched layer (PML) concept to the finite element method frequency domain analysis of scattering problems," IEEE Microwave Guided Wave Lett. 5, 258-260 (1995). [CrossRef]
  47. W. C. Chew, J. M. Jin, E. Michielssen, "Complex coordinate stretching as a generalized absorbing boundary condition," Microwave & Opt. Technol. Lett. 7, 363-369 (1997). [CrossRef]
  48. P. R. McIsaac, "Symmetry-induced modal characteristics of uniform waveguides-II:Theory," IEEE Trans. Microwave Theory Tech. 23, 429-433 (1975). [CrossRef]
  49. G. W. Milton, The theory of composites (Cambridge University Press, Cambridge, UK, 2002). [CrossRef]
  50. R. Guobing, W. Zhi, L. Shuqin, and J. Shuisheng, "Full-vectorial analysis of complex refractive index photonic crystal fibers," Opt. Express 12, 1126-1135 (2004). <a href= http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-6-1135">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-6-1135</a> [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