OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 19 — Sep. 13, 2010
  • pp: 19522–19531

Efficient calculation of higher-order optical waveguide dispersion

J. A. Mores, Jr., G. N. Malheiros-Silveira, H. L. Fragnito, and H. E. Hernández-Figueroa  »View Author Affiliations

Optics Express, Vol. 18, Issue 19, pp. 19522-19531 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (2164 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An efficient numerical strategy to compute the higher-order dispersion parameters of optical waveguides is presented. For the first time to our knowledge, a systematic study of the errors involved in the higher-order dispersions’ numerical calculation process is made, showing that the present strategy can accurately model those parameters. Such strategy combines a full-vectorial finite element modal solver and a proper finite difference differentiation algorithm. Its performance has been carefully assessed through the analysis of several key geometries. In addition, the optimization of those higher-order dispersion parameters can also be carried out by coupling to the present scheme a genetic algorithm, as shown here through the design of a photonic crystal fiber suitable for parametric amplification applications.

© 2010 OSA

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(230.7370) Optical devices : Waveguides
(260.2030) Physical optics : Dispersion
(060.5295) Fiber optics and optical communications : Photonic crystal fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: July 12, 2010
Revised Manuscript: August 12, 2010
Manuscript Accepted: August 15, 2010
Published: August 30, 2010

J. A. Mores Jr., G. N. Malheiros-Silveira, H. L. Fragnito, and H. E. Hernández-Figueroa, "Efficient calculation of higher-order optical waveguide dispersion," Opt. Express 18, 19522-19531 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed (Academic Press, 1995).
  2. L. Valor and J. Zapata, “Efficient finite element analysis of waveguides with lossy inhomogeneous anisotropic materials characterized by arbitrary permittivity and permeability tensors,” IEEE Trans. Microw. Theory Tech. 43(10), 2452–2459 (1995). [CrossRef]
  3. M. Koshiba and Y. Tsuji, “Curvilinear Hybrid Edge/Nodal Elements with Triangular Shape for Guided-Wave Problems,” J. Lightwave Technol. 18(5), 737–743 (2000). [CrossRef]
  4. F. L. Teixeira and W. C. Chew, “General Closed-Form PML Constitutive Tensors to Match Arbitrary Bianisotropic and Dispersive Linear Media,” IEEE Microwave Guided Wave Lett. 8(6), 223–230 (1998). [CrossRef]
  5. Finite Difference Schemes of One Variable - Wolfram Demonstrations, http://demonstrations.wolfram.com/FiniteDifferenceSchemesOfOneVariable/
  6. L. H. Gabrielli, H. E. Hernández-Figueroa, and H. L. Fragnito, “Robustness Optimization of Fiber Index Profiles for Optical Parametric Amplifiers,” J. Lightwave Technol. 27(24), 5571–5579 (2009). [CrossRef]
  7. S. Arismar Cerqueira., “Recent progress and novel applications of photonic crystal fibers,” Rep. Prog. Phys. 73(2), 024401 (2010). [CrossRef]
  8. E. Kerrinckx, L. Bigot, M. Douay, and Y. Quiquempois, “Photonic crystal fiber design by means of a genetic algorithm,” Opt. Express 12(9), 1990–1995 (2004). [CrossRef] [PubMed]
  9. J. M. Chavéz Boggio, J. D. Marconi, S. R. Bickham, and H. L. Fragnito, “Spectrally flat and broadband double-pumped fiber optical parametric amplifiers,” Opt. Express 15(9), 5288–5309 (2007). [CrossRef] [PubMed]
  10. Schott Corporation, North America, http://www.us.schott.com .
  11. X. Feng, A. K. Mairaj, D. W. Hewak, and T. M. Monro, “Nonsilica Glasses for Holey Fibers,” J. Lightwave Technol. 23(6), 2046–2054 (2005). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited