Abstract

Propagation characteristics of dual-mode elliptical-core fibers are obtained by using a perturbation approach. It is found that for very high values of core aspect ratios (a/b > 2.3), the maximum possible value of the V parameter in such fibers is decided by the cutoff of the LP21even mode instead of the LP11odd mode. Further, as the core ellipticity increases, unlike the polarization birefringence, the birefringence between the LP01 and the LP11even modes decreases and the V value, at which the LP01 and LP11even modes have the same group velocities, moves toward the LP11even mode cutoff.

© 1989 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. R. Layton, J. A. Bucaro, Appl. Opt. 18, 666 (1979).
    [Crossref] [PubMed]
  2. J. N. Blake, B. Y. Kim, H. J. Shaw, Opt. Lett. 11, 177 (1986).
    [Crossref] [PubMed]
  3. W. V. Sorin, B. Y. Kim, H. J. Shaw, Opt. Lett. 11, 581 (1986).
    [Crossref] [PubMed]
  4. D. Kreit, R. C. Youngquist, D. E. N. Davies, Appl. Opt. 25, 4433 (1986).
    [Crossref] [PubMed]
  5. B. Y. Kim, J. N. Blake, S. Y. Huang, H. J. Shaw, Opt. Lett. 12, 729 (1987).
    [Crossref] [PubMed]
  6. J. N. Blake, S. Y. Huang, B. Y. Kim, H. J. Shaw, Opt. Lett. 12, 732 (1987).
    [Crossref] [PubMed]
  7. S. Y. Huang, J. N. Blake, B. Y. Kim, in Digest of Topical Meeting on Optical Fiber Sensors (Optical Society of America, Washington, D.C., 1988), paper WBB2.
  8. A. Kumar, R. K. Varshney, Opt. Quantum Electron. 16, 349 (1984).
    [Crossref]
  9. K. F. Klein, W. E. Heinlein, Electron. Lett. 8, 640 (1982).
    [Crossref]
  10. A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
    [Crossref]

1987 (2)

1986 (3)

1984 (2)

A. Kumar, R. K. Varshney, Opt. Quantum Electron. 16, 349 (1984).
[Crossref]

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[Crossref]

1982 (1)

K. F. Klein, W. E. Heinlein, Electron. Lett. 8, 640 (1982).
[Crossref]

1979 (1)

Blake, J. N.

Bucaro, J. A.

Davies, D. E. N.

Heinlein, W. E.

K. F. Klein, W. E. Heinlein, Electron. Lett. 8, 640 (1982).
[Crossref]

Huang, S. Y.

B. Y. Kim, J. N. Blake, S. Y. Huang, H. J. Shaw, Opt. Lett. 12, 729 (1987).
[Crossref] [PubMed]

J. N. Blake, S. Y. Huang, B. Y. Kim, H. J. Shaw, Opt. Lett. 12, 732 (1987).
[Crossref] [PubMed]

S. Y. Huang, J. N. Blake, B. Y. Kim, in Digest of Topical Meeting on Optical Fiber Sensors (Optical Society of America, Washington, D.C., 1988), paper WBB2.

Kim, B. Y.

Klein, K. F.

K. F. Klein, W. E. Heinlein, Electron. Lett. 8, 640 (1982).
[Crossref]

Kreit, D.

Kumar, A.

A. Kumar, R. K. Varshney, Opt. Quantum Electron. 16, 349 (1984).
[Crossref]

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[Crossref]

Layton, M. R.

Shaw, H. J.

Sorin, W. V.

Thyagarajan, K.

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[Crossref]

Varshney, R. K.

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[Crossref]

A. Kumar, R. K. Varshney, Opt. Quantum Electron. 16, 349 (1984).
[Crossref]

Youngquist, R. C.

Appl. Opt. (2)

Electron. Lett. (2)

K. F. Klein, W. E. Heinlein, Electron. Lett. 8, 640 (1982).
[Crossref]

A. Kumar, R. K. Varshney, K. Thyagarajan, Electron. Lett. 20, 112 (1984).
[Crossref]

Opt. Lett. (4)

Opt. Quantum Electron. (1)

A. Kumar, R. K. Varshney, Opt. Quantum Electron. 16, 349 (1984).
[Crossref]

Other (1)

S. Y. Huang, J. N. Blake, B. Y. Kim, in Digest of Topical Meeting on Optical Fiber Sensors (Optical Society of America, Washington, D.C., 1988), paper WBB2.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Dashed lines form the unperturbed rectangular waveguide; the solid curve shows the cross section of the elliptical waveguide.

Fig.2
Fig.2

Variation of the cutoff V value of the E21x, E12 x, and E31x modes as a function of the aspect ratio (a/b) of the core ellipse.

Fig. 3
Fig. 3

Variation of the effective index difference (Δβ˜) between the E11x and E21x modes as a function of the normalized frequency V for different values of a/b. Cutoff V values of the second- and third-order modes are shown by the dashed and solid vertical bars, respectively.

Fig. 4
Fig. 4

Variation of group-index difference (Δng) between the E11x and E21x modes as a function of normalized frequency V for different values of the aspect ratio. Solid and dashed vertical bars represent the cutoff V values of the second- and third-order modes, respectively.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

n 0 2 ( x , y ) = n 2 ( ξ ) + n 2 ( η ) n 1 2 ,
ξ = x / a , η = y / b , n ( θ ) = n 1 for | θ | < 1 = n 2 for | θ | < 1 ,
tan 1 [ C ( V 1 2 u 2 ) 1 / 2 / μ ] + ( p 1 ) π / 2 μ = 0 , tan 1 [ n 1 2 / ( C n 2 2 ) ( V 2 2 ν 2 ) 1 / 2 / ν ] + ( q 1 ) π / 2 ν = 0 ,
μ = a ( k 0 2 n 1 2 β 1 2 ) 1 / 2 , ν = b ( k 0 2 n 1 2 β 2 2 ) 1 / 2 , V 1 = k 0 a ( n 1 2 n 2 2 ) 1 / 2 , V = b / a V 1 , C = n 1 2 / n 2 2 ( or 1 ) for the E p q x ( or E p q y ) mode ,
β 0 = ( β 1 2 + β 2 2 k 0 2 n 1 2 ) 1 / 2 .

Metrics