Abstract

A set of coupled power equations has been derived from a set of coupled amplitude equations for a single-mode single-polarization (SMSP) optical fiber. Our results indicate that the power coupling coefficients are related not only to the birefringence of the SMSP fiber but also to the leaky-mode loss.

© 1989 Optical Society of America

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References

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  1. T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
    [CrossRef]
  2. T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17,473 (1981).
    [CrossRef]
  3. Y. Sasaki, T. Hosaka, J. Noda, Electron. Lett. 20, 784 (1984).
    [CrossRef]
  4. T. Hosaka, T. Saski, Y. Noda, Electron. Lett. 21, 1023 (1985).
    [CrossRef]
  5. A. W. Snyder, F. Ruhl, Electron. Lett. 19, 687 (1983).
    [CrossRef]
  6. A. W. Snyder, F. Ruhl, IEEE J. Lightwave Technol. LT-2, 284 (1984).
  7. A. W. Snyder, A. Ankiewicz, J. Opt. Soc. Am. A 3, 856 (1986).
    [CrossRef]
  8. A. W. Snyder, A. Ankiewicz, Electron. Lett. 21, 1105 (1986).
    [CrossRef]
  9. C.-X. Shi, Opt. Commun. 70, 384 (1989).
    [CrossRef]
  10. C.-X. Shi, J. Opt. Soc. Am. A 6, 550 (1989).
    [CrossRef]
  11. M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
    [CrossRef]
  12. M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
    [CrossRef]
  13. C.-X. Shi, R.-Q. Hui, Opt. Lett. 13, 1120 (1988).
    [CrossRef] [PubMed]
  14. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974).
  15. F. Tian, Y.-Z. Wu, P.-D. Yei, IEEE J. Lightwave Technol. LT-5, 1165 (1987).
    [CrossRef]

1989 (2)

1988 (1)

1987 (1)

F. Tian, Y.-Z. Wu, P.-D. Yei, IEEE J. Lightwave Technol. LT-5, 1165 (1987).
[CrossRef]

1986 (2)

A. W. Snyder, A. Ankiewicz, J. Opt. Soc. Am. A 3, 856 (1986).
[CrossRef]

A. W. Snyder, A. Ankiewicz, Electron. Lett. 21, 1105 (1986).
[CrossRef]

1985 (1)

T. Hosaka, T. Saski, Y. Noda, Electron. Lett. 21, 1023 (1985).
[CrossRef]

1984 (2)

Y. Sasaki, T. Hosaka, J. Noda, Electron. Lett. 20, 784 (1984).
[CrossRef]

A. W. Snyder, F. Ruhl, IEEE J. Lightwave Technol. LT-2, 284 (1984).

1983 (3)

A. W. Snyder, F. Ruhl, Electron. Lett. 19, 687 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
[CrossRef]

1981 (2)

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17,473 (1981).
[CrossRef]

Ankiewicz, A.

A. W. Snyder, A. Ankiewicz, J. Opt. Soc. Am. A 3, 856 (1986).
[CrossRef]

A. W. Snyder, A. Ankiewicz, Electron. Lett. 21, 1105 (1986).
[CrossRef]

Birch, R. D.

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
[CrossRef]

Edahiro, T.

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

Hosaka, T.

T. Hosaka, T. Saski, Y. Noda, Electron. Lett. 21, 1023 (1985).
[CrossRef]

Y. Sasaki, T. Hosaka, J. Noda, Electron. Lett. 20, 784 (1984).
[CrossRef]

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

Hui, R.-Q.

Katsuyama, T.

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17,473 (1981).
[CrossRef]

Marcuse, D.

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974).

Matsumura, H.

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17,473 (1981).
[CrossRef]

Miya, T.

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

Noda, J.

Y. Sasaki, T. Hosaka, J. Noda, Electron. Lett. 20, 784 (1984).
[CrossRef]

Noda, Y.

T. Hosaka, T. Saski, Y. Noda, Electron. Lett. 21, 1023 (1985).
[CrossRef]

Okamoto, K.

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

Payne, D. N.

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
[CrossRef]

Ruhl, F.

A. W. Snyder, F. Ruhl, IEEE J. Lightwave Technol. LT-2, 284 (1984).

A. W. Snyder, F. Ruhl, Electron. Lett. 19, 687 (1983).
[CrossRef]

Sasaki, Y.

Y. Sasaki, T. Hosaka, J. Noda, Electron. Lett. 20, 784 (1984).
[CrossRef]

Saski, T.

T. Hosaka, T. Saski, Y. Noda, Electron. Lett. 21, 1023 (1985).
[CrossRef]

Sasski, Y.

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

Shi, C.-X.

Snyder, A. W.

A. W. Snyder, A. Ankiewicz, J. Opt. Soc. Am. A 3, 856 (1986).
[CrossRef]

A. W. Snyder, A. Ankiewicz, Electron. Lett. 21, 1105 (1986).
[CrossRef]

A. W. Snyder, F. Ruhl, IEEE J. Lightwave Technol. LT-2, 284 (1984).

A. W. Snyder, F. Ruhl, Electron. Lett. 19, 687 (1983).
[CrossRef]

Suganuma, T.

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17,473 (1981).
[CrossRef]

Tarbox, E. J.

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
[CrossRef]

Tian, F.

F. Tian, Y.-Z. Wu, P.-D. Yei, IEEE J. Lightwave Technol. LT-5, 1165 (1987).
[CrossRef]

Varnham, M. P.

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
[CrossRef]

Wu, Y.-Z.

F. Tian, Y.-Z. Wu, P.-D. Yei, IEEE J. Lightwave Technol. LT-5, 1165 (1987).
[CrossRef]

Yei, P.-D.

F. Tian, Y.-Z. Wu, P.-D. Yei, IEEE J. Lightwave Technol. LT-5, 1165 (1987).
[CrossRef]

Electron. Lett. (8)

T. Hosaka, K. Okamoto, T. Miya, Y. Sasski, T. Edahiro, Electron. Lett. 17, 530 (1981).
[CrossRef]

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17,473 (1981).
[CrossRef]

Y. Sasaki, T. Hosaka, J. Noda, Electron. Lett. 20, 784 (1984).
[CrossRef]

T. Hosaka, T. Saski, Y. Noda, Electron. Lett. 21, 1023 (1985).
[CrossRef]

A. W. Snyder, F. Ruhl, Electron. Lett. 19, 687 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 246 (1983).
[CrossRef]

M. P. Varnham, D. N. Payne, R. D. Birch, E. J. Tarbox, Electron. Lett. 19, 679 (1983).
[CrossRef]

A. W. Snyder, A. Ankiewicz, Electron. Lett. 21, 1105 (1986).
[CrossRef]

IEEE J. Lightwave Technol. (2)

F. Tian, Y.-Z. Wu, P.-D. Yei, IEEE J. Lightwave Technol. LT-5, 1165 (1987).
[CrossRef]

A. W. Snyder, F. Ruhl, IEEE J. Lightwave Technol. LT-2, 284 (1984).

J. Opt. Soc. Am. A (2)

Opt. Commun. (1)

C.-X. Shi, Opt. Commun. 70, 384 (1989).
[CrossRef]

Opt. Lett. (1)

Other (1)

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974).

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Figures (3)

Fig. 1
Fig. 1

Power coupling coefficients as a function of leaky-mode loss.

Fig. 2
Fig. 2

Power coupling coefficients as a function of birefringence B for D = 10 m and α = 50 km−1.

Fig. 3
Fig. 3

Power coupling coefficients as a function of correlation length D for B = 1 × 10 and α = 10 km−1.

Equations (12)

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d C 1 d z = K 11 C 1 K 12 C 2 exp ( j β y j β x + α ) z , d C 2 d z = K 21 C 1 exp ( j β x j β y α ) z + K 22 C 2 .
E t 2 = C 2 ( z ) e t 2 exp ( j β x z ) .
E t 1 = C 1 ( z ) e t 1 exp ( j β y α ) z .
P 1 = C 1 ( z ) C 1 ( z ) * exp ( 2 α z ) , P 2 = C 2 ( z ) C 2 ( z ) * .
d P 1 d z = 2 α P 1 + h 11 P 1 + h 12 P 2 , d P 2 d z = h 21 P 1 + h 22 P 2 ,
h 11 = K ̂ 12 K ̂ 21 0 R ( u ) exp ( j β y j β x + α ) u d u + c . c . ,
h 12 = | K ̂ 12 | 2 0 R ( u ) exp ( j β y j β x α ) u d u + c . c . ,
h 21 = | K ̂ 21 | 2 0 R ( u ) exp ( j β x j β y + α ) u d u + c . c . ,
h 22 = K ̂ 12 K ̂ 21 0 R ( u ) exp ( j β x j β y α ) u d u + c . c .
R ( u ) < exp ( m u ) ( m > 0 ) .
R ( u ) = σ 0 2 exp ( | u | / D ) .
h 12 = | K ̂ 12 | 2 σ 0 2 ( 1 D + α ) / ( β y β x ) 2 + ( α + 1 D ) 2 , h 21 = | K ̂ 21 | 2 σ 0 2 ( 1 D + α ) / ( β y β x ) 2 + ( α 1 D ) 2 .

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