Abstract

This paper is concerned with the study of propagation in multimode fibers having nearly step index shape with elliptical symmetry. A method based on ray tracing and modal relations, previously adopted for evaluating the dispersion characteristics in circular fibers with different refractive-index distributions, has been applied with suitable modifications. Examples of dispersion curves are shown for different ellipticities, which do not exhibit substantial differences with respect to those relative to the circular case. The existence of “whispering” and “bouncing” modes is also pointed out: the number of the latter is more relevant the higher the ellipticity of the fiber. This fact can be interesting for coupling purposes.

© 1979 Optical Society of America

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  1. C. Yeh, "Elliptical dielectric waveguides," J. Appl. Phys. 33, 3235–3243 (1962).
  2. W. O. Schlosser, "Delay distorsion in weakly guiding optical fibers due to elliptic deformation of the boundary," Bell Syst. Tech. J. 51, 487–492 (1972).
  3. R. B. Dyott and J. R. Stern, "Group delay in glass-fibre waveguide," Electron. Lett. 7, 82–84 (1971).
  4. K. Peterman, "Uncertainties of the leaky mode correction for near square law optical fibres," Electron. Lett. 13, 513–514 (1977).
  5. J. A. Arnaud, "Optimum profiles for dispersive multimode fibres," Electron. Lett. 12, 654–656 (1976).
  6. A. W. Snyder and W. R. Young, "Modes of optical waveguides," J. Opt. Soc. Am. 68, 297–309 (1978).
  7. A. M. Scheggi, P. F. Checcacci, and R. Falciai, "Dispersion characteristics in quasi-step and graded-index slab waveguides by ray-tracing technique," J. Opt. Soc. Am. 65, 1022–1026 (1975).
  8. A. M. Scheggi, P. F. Checcacci, R. Falciai, "Dispersion evaluation in multimode fibers by numerical technique: application to ring shaped and graded index with a central dip," AGARD Conference on Optical Fibres, Integrated Optics and their Military Applications (London, 1977) AGARD CP No. 219 (Editor: Dr. H. Hodara) p. 32-1, 32–16 (1977).
  9. S. J. Maurer and L. B. Felsen, "Ray-optical technique for guided waves," Proc. of the IEEE 55, 1718–1729 (1967).
  10. J. B. Keller and S. I. Rubinow, "Asymptotic solution of eigenvalue problems," Ann. Phys. 9, 24–75 (1960).
  11. L. A. Weinstein, Open Resonators and Open Waveguides (Golem, Boulder, Colorado, 1969) p. 167.

1978 (1)

1977 (1)

K. Peterman, "Uncertainties of the leaky mode correction for near square law optical fibres," Electron. Lett. 13, 513–514 (1977).

1976 (1)

J. A. Arnaud, "Optimum profiles for dispersive multimode fibres," Electron. Lett. 12, 654–656 (1976).

1975 (1)

1972 (1)

W. O. Schlosser, "Delay distorsion in weakly guiding optical fibers due to elliptic deformation of the boundary," Bell Syst. Tech. J. 51, 487–492 (1972).

1971 (1)

R. B. Dyott and J. R. Stern, "Group delay in glass-fibre waveguide," Electron. Lett. 7, 82–84 (1971).

1967 (1)

S. J. Maurer and L. B. Felsen, "Ray-optical technique for guided waves," Proc. of the IEEE 55, 1718–1729 (1967).

1962 (1)

C. Yeh, "Elliptical dielectric waveguides," J. Appl. Phys. 33, 3235–3243 (1962).

1960 (1)

J. B. Keller and S. I. Rubinow, "Asymptotic solution of eigenvalue problems," Ann. Phys. 9, 24–75 (1960).

Arnaud, J. A.

J. A. Arnaud, "Optimum profiles for dispersive multimode fibres," Electron. Lett. 12, 654–656 (1976).

Checcacci, P. F.

A. M. Scheggi, P. F. Checcacci, and R. Falciai, "Dispersion characteristics in quasi-step and graded-index slab waveguides by ray-tracing technique," J. Opt. Soc. Am. 65, 1022–1026 (1975).

A. M. Scheggi, P. F. Checcacci, R. Falciai, "Dispersion evaluation in multimode fibers by numerical technique: application to ring shaped and graded index with a central dip," AGARD Conference on Optical Fibres, Integrated Optics and their Military Applications (London, 1977) AGARD CP No. 219 (Editor: Dr. H. Hodara) p. 32-1, 32–16 (1977).

Dyott, R. B.

R. B. Dyott and J. R. Stern, "Group delay in glass-fibre waveguide," Electron. Lett. 7, 82–84 (1971).

Falciai, R.

A. M. Scheggi, P. F. Checcacci, and R. Falciai, "Dispersion characteristics in quasi-step and graded-index slab waveguides by ray-tracing technique," J. Opt. Soc. Am. 65, 1022–1026 (1975).

A. M. Scheggi, P. F. Checcacci, R. Falciai, "Dispersion evaluation in multimode fibers by numerical technique: application to ring shaped and graded index with a central dip," AGARD Conference on Optical Fibres, Integrated Optics and their Military Applications (London, 1977) AGARD CP No. 219 (Editor: Dr. H. Hodara) p. 32-1, 32–16 (1977).

Felsen, L. B.

S. J. Maurer and L. B. Felsen, "Ray-optical technique for guided waves," Proc. of the IEEE 55, 1718–1729 (1967).

Keller, J. B.

J. B. Keller and S. I. Rubinow, "Asymptotic solution of eigenvalue problems," Ann. Phys. 9, 24–75 (1960).

Maurer, S. J.

S. J. Maurer and L. B. Felsen, "Ray-optical technique for guided waves," Proc. of the IEEE 55, 1718–1729 (1967).

Peterman, K.

K. Peterman, "Uncertainties of the leaky mode correction for near square law optical fibres," Electron. Lett. 13, 513–514 (1977).

Rubinow, S. I.

J. B. Keller and S. I. Rubinow, "Asymptotic solution of eigenvalue problems," Ann. Phys. 9, 24–75 (1960).

Scheggi, A. M.

A. M. Scheggi, P. F. Checcacci, and R. Falciai, "Dispersion characteristics in quasi-step and graded-index slab waveguides by ray-tracing technique," J. Opt. Soc. Am. 65, 1022–1026 (1975).

A. M. Scheggi, P. F. Checcacci, R. Falciai, "Dispersion evaluation in multimode fibers by numerical technique: application to ring shaped and graded index with a central dip," AGARD Conference on Optical Fibres, Integrated Optics and their Military Applications (London, 1977) AGARD CP No. 219 (Editor: Dr. H. Hodara) p. 32-1, 32–16 (1977).

Schlosser, W. O.

W. O. Schlosser, "Delay distorsion in weakly guiding optical fibers due to elliptic deformation of the boundary," Bell Syst. Tech. J. 51, 487–492 (1972).

Snyder, A. W.

Stern, J. R.

R. B. Dyott and J. R. Stern, "Group delay in glass-fibre waveguide," Electron. Lett. 7, 82–84 (1971).

Weinstein, L. A.

L. A. Weinstein, Open Resonators and Open Waveguides (Golem, Boulder, Colorado, 1969) p. 167.

Yeh, C.

C. Yeh, "Elliptical dielectric waveguides," J. Appl. Phys. 33, 3235–3243 (1962).

Young, W. R.

Ann. Phys. (1)

J. B. Keller and S. I. Rubinow, "Asymptotic solution of eigenvalue problems," Ann. Phys. 9, 24–75 (1960).

Bell Syst. Tech. J. (1)

W. O. Schlosser, "Delay distorsion in weakly guiding optical fibers due to elliptic deformation of the boundary," Bell Syst. Tech. J. 51, 487–492 (1972).

Electron. Lett. (3)

R. B. Dyott and J. R. Stern, "Group delay in glass-fibre waveguide," Electron. Lett. 7, 82–84 (1971).

K. Peterman, "Uncertainties of the leaky mode correction for near square law optical fibres," Electron. Lett. 13, 513–514 (1977).

J. A. Arnaud, "Optimum profiles for dispersive multimode fibres," Electron. Lett. 12, 654–656 (1976).

J. Appl. Phys. (1)

C. Yeh, "Elliptical dielectric waveguides," J. Appl. Phys. 33, 3235–3243 (1962).

J. Opt. Soc. Am. (2)

Proc. of the IEEE (1)

S. J. Maurer and L. B. Felsen, "Ray-optical technique for guided waves," Proc. of the IEEE 55, 1718–1729 (1967).

Other (2)

L. A. Weinstein, Open Resonators and Open Waveguides (Golem, Boulder, Colorado, 1969) p. 167.

A. M. Scheggi, P. F. Checcacci, R. Falciai, "Dispersion evaluation in multimode fibers by numerical technique: application to ring shaped and graded index with a central dip," AGARD Conference on Optical Fibres, Integrated Optics and their Military Applications (London, 1977) AGARD CP No. 219 (Editor: Dr. H. Hodara) p. 32-1, 32–16 (1977).

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