Abstract

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 <i>z</i>-axis. It is assumed that the core is a strongly biaxial dielectric medium, with diagonal <i>ε</i> 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

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References

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  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).

2006 (1)

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).

2005 (1)

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).

1992 (3)

R.-B. Wu, "Explicit birefringence analysis for anisotropic fibers," J. Lightw. Technol. 10, 6-11 (1992).

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).

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).

1991 (1)

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).

1984 (1)

F. F. Rühl, A. W. Snyder, "Anisotropic fibers studied by the Green's function method," J. Lightw. Technol. LT-2, 284-291 (1984).

IEEE Trans. Microw. Theory Tech. (1)

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).

J. Lightw. Technol. (1)

F. F. Rühl, A. W. Snyder, "Anisotropic fibers studied by the Green's function method," J. Lightw. Technol. LT-2, 284-291 (1984).

J. Lightw. Technol. (1)

R.-B. Wu, "Explicit birefringence analysis for anisotropic fibers," J. Lightw. Technol. 10, 6-11 (1992).

J. Opt. Soc. Am. (1)

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).

Microw. Opt Technol. Lett. (1)

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).

Microw. Opt. Technol. Lett. (1)

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).

Microw. Opt. Technol. Lett. (1)

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).

Other (6)

M. J. Weber, Handbook of Optical Materials (CRC Press, 2003).

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).

A. L. Topa, C. R. Paiva, A. M. Barbosa, Metamaterials and Plasmonics: Fundamentals, Modeling and Applications (Springer-Verlag, 2009).

Handbook of Mathematical Functions (Dover, 1972).

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).

C. Bender, S. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, 1978).

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