OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 30, Iss. 14 — Jul. 15, 2012
  • pp: 2262–2270

Waveguide Dispersion in a Strongly Biaxial Anisotropic Fiber: An Analytical Solution

Isabel V. Neves, António L. Topa, and Manuel G. Neves

Journal of Lightwave Technology, Vol. 30, Issue 14, pp. 2262-2270 (2012)

View Full Text Article

Acrobat PDF (2640 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

  • Export Citation/Save Click for help


In this paper, modal propagation along anisotropic biaxial step-index homogeneous optical fibers is considered and wave equations are derived in a cylindrical coordinate system, coaxial with the z-axis. It is assumed that the core is a strongly biaxial dielectric medium, with diagonal ε in rectangular coordinates, surrounded by an isotropic cladding that extends to infinity in the radial direction. The computational algorithm uses Frobenius' series expansions, both in the core and cladding, and is fully derived here. Dispersion lines are presented for a particular case, showing novel effects, not found in the weakly anisotropic case.

© 2012 IEEE

Isabel V. Neves, António L. Topa, and Manuel G. Neves, "Waveguide Dispersion in a Strongly Biaxial Anisotropic Fiber: An Analytical Solution," J. Lightwave Technol. 30, 2262-2270 (2012)

Sort:  Year  |  Journal  |  Reset


  1. F. F. Rühl, A. W. Snyder, "Anisotropic fibers studied by the Green's function method," J. Lightw. Technol. LT-2, 284-291 (1984).
  2. R.-B. Wu, "Explicit birefringence analysis for anisotropic fibers," J. Lightw. Technol. 10, 6-11 (1992).
  3. J. D. Dai, C. A. S. de Oliveira, C. K. Jen, "Dispersion characteristics of cladded biaxial optical fibers," J. Opt. Soc. Am. 9, 1564-1567 (1992).
  4. S. F. Kawalko, P. L. Uslenghi, "A method for the analysis of biaxial graded- index optical fibers," IEEE Trans. Microw. Theory Tech. 39, 961-967 (1991).
  5. C. Bender, S. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, 1978).
  6. I. V. Neves, A. S. C. Fernandes, "Wave propagation in a radially inhomogeneous cylindrical dielectric structure: A general analytical solution," Microw. Opt. Technol. Lett. 5, 675-679 (1992).
  7. M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).
  8. I. S. Nefedov, S. A. Tretyakov, "Theoretical study of waveguiding structures contained backward-wave materials," presented at the XXVIIth URSI General Assembly MaastrichtThe Netherlands (2002).
  9. A. L. Topa, C. R. Paiva, A. M. Barbosa, "Novel propagation features of double negative H-guides and H-guide couplers," Microw. Opt Technol. Lett. 47, 185-190 (2005).
  10. P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, S. Paulotto, "Unimodal surface-wave propagation in metamaterial nonradiative dielectric waveguides," Microw. Opt. Technol. Lett. 48, 2557-2560 (2006).
  11. A. L. Topa, C. R. Paiva, A. M. Barbosa, Metamaterials and Plasmonics: Fundamentals, Modeling and Applications (Springer-Verlag, 2009).
  12. Handbook of Mathematical Functions (Dover, 1972).
  13. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).

Cited By

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