Abstract

The stress-induced birefringence in a single-mode optical fiber with an elliptical inner cladding or an elliptical core is calculated. Then the design of a fiber is proposed in which only one linearly polarized mode can propagate.

© 1982 Optical Society of America

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References

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  1. R. Ulrich, M. Johnson, Opt. Lett. 4, 152 (1979).
    [CrossRef] [PubMed]
  2. T. Okoshi, K. Kikuchi, J. Opt. Commun. 2, 82 (1981).
    [CrossRef]
  3. T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17, 473 (1981); R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
    [CrossRef]
  4. R. B. Dyott, J. R. Cozens, D. G. Morris, Electron. Lett. 15, 380 (1979).
    [CrossRef]
  5. V. Ramaswamy, R. H. Stolen, M. D. Divino, W. Pleibel, Appl. Opt. 18, 4080 (1979).
    [CrossRef] [PubMed]
  6. J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
    [CrossRef]
  7. I. P. Kaminow, V. Ramaswamy, Appl. Phys. Lett. 34, 268 (1979).
    [CrossRef]
  8. M. A. Jaswon, R. D. Bhargawa, Proc. Camb. Phil. Soc. 57, 669 (1961).
    [CrossRef]
  9. F. J. Rizzo, D. J. Shippy, Int. J. Solid Struct. 4, 1161 (1968).
    [CrossRef]
  10. D. Gloge, Appl. Opt. 10, 2252 (1971).
    [CrossRef] [PubMed]
  11. S. C. Rashleigh, Opt. Lett. 7, 294 (1982).
    [CrossRef] [PubMed]
  12. W. Eickhoff, Y. Yen, R. Ulrich, Appl. Opt. 20, 3428 (1981).
    [CrossRef] [PubMed]
  13. R. A. Bergh, H. C. Lefevre, H. J. Shaw, Opt. Lett. 5, 479 (1980); W. Eickhoff, Electron. Lett. 16, 762 (1980).
    [CrossRef] [PubMed]

1982 (1)

1981 (3)

T. Okoshi, K. Kikuchi, J. Opt. Commun. 2, 82 (1981).
[CrossRef]

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17, 473 (1981); R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

W. Eickhoff, Y. Yen, R. Ulrich, Appl. Opt. 20, 3428 (1981).
[CrossRef] [PubMed]

1980 (1)

1979 (5)

R. B. Dyott, J. R. Cozens, D. G. Morris, Electron. Lett. 15, 380 (1979).
[CrossRef]

J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

I. P. Kaminow, V. Ramaswamy, Appl. Phys. Lett. 34, 268 (1979).
[CrossRef]

V. Ramaswamy, R. H. Stolen, M. D. Divino, W. Pleibel, Appl. Opt. 18, 4080 (1979).
[CrossRef] [PubMed]

R. Ulrich, M. Johnson, Opt. Lett. 4, 152 (1979).
[CrossRef] [PubMed]

1971 (1)

1968 (1)

F. J. Rizzo, D. J. Shippy, Int. J. Solid Struct. 4, 1161 (1968).
[CrossRef]

1961 (1)

M. A. Jaswon, R. D. Bhargawa, Proc. Camb. Phil. Soc. 57, 669 (1961).
[CrossRef]

Bergh, R. A.

Bhargawa, R. D.

M. A. Jaswon, R. D. Bhargawa, Proc. Camb. Phil. Soc. 57, 669 (1961).
[CrossRef]

Cozens, J. R.

R. B. Dyott, J. R. Cozens, D. G. Morris, Electron. Lett. 15, 380 (1979).
[CrossRef]

Divino, M. D.

Dyott, R. B.

R. B. Dyott, J. R. Cozens, D. G. Morris, Electron. Lett. 15, 380 (1979).
[CrossRef]

Eickhoff, W.

Gloge, D.

Jaswon, M. A.

M. A. Jaswon, R. D. Bhargawa, Proc. Camb. Phil. Soc. 57, 669 (1961).
[CrossRef]

Johnson, M.

Kaminow, I. P.

I. P. Kaminow, V. Ramaswamy, Appl. Phys. Lett. 34, 268 (1979).
[CrossRef]

Katsuyama, T.

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17, 473 (1981); R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Kikuchi, K.

T. Okoshi, K. Kikuchi, J. Opt. Commun. 2, 82 (1981).
[CrossRef]

Lefevre, H. C.

Love, J. D.

J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

Matsumura, H.

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17, 473 (1981); R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Morris, D. G.

R. B. Dyott, J. R. Cozens, D. G. Morris, Electron. Lett. 15, 380 (1979).
[CrossRef]

Okoshi, T.

T. Okoshi, K. Kikuchi, J. Opt. Commun. 2, 82 (1981).
[CrossRef]

Pleibel, W.

Ramaswamy, V.

Rashleigh, S. C.

Rizzo, F. J.

F. J. Rizzo, D. J. Shippy, Int. J. Solid Struct. 4, 1161 (1968).
[CrossRef]

Sammut, R. A.

J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

Shaw, H. J.

Shippy, D. J.

F. J. Rizzo, D. J. Shippy, Int. J. Solid Struct. 4, 1161 (1968).
[CrossRef]

Snyder, A. W.

J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

Stolen, R. H.

Suganuma, T.

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17, 473 (1981); R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Ulrich, R.

Yen, Y.

Appl. Opt. (3)

Appl. Phys. Lett. (1)

I. P. Kaminow, V. Ramaswamy, Appl. Phys. Lett. 34, 268 (1979).
[CrossRef]

Electron. Lett. (3)

J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

T. Katsuyama, H. Matsumura, T. Suganuma, Electron. Lett. 17, 473 (1981); R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

R. B. Dyott, J. R. Cozens, D. G. Morris, Electron. Lett. 15, 380 (1979).
[CrossRef]

Int. J. Solid Struct. (1)

F. J. Rizzo, D. J. Shippy, Int. J. Solid Struct. 4, 1161 (1968).
[CrossRef]

J. Opt. Commun. (1)

T. Okoshi, K. Kikuchi, J. Opt. Commun. 2, 82 (1981).
[CrossRef]

Opt. Lett. (3)

Proc. Camb. Phil. Soc. (1)

M. A. Jaswon, R. D. Bhargawa, Proc. Camb. Phil. Soc. 57, 669 (1961).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Cross section of fibers with elliptical structure: (a) round core in an elliptical inner cladding, (b) elliptical core in a round cladding.

Fig. 2
Fig. 2

Stress distribution in fibers with elliptical core: (a) σx along x axis, (b) σy along y axis.

Fig. 3
Fig. 3

Frequency dependence of the three kinds of linear birefringence.

Fig. 4
Fig. 4

Refractive-index profiles of single-polarization fibers, shown schematically.

Equations (11)

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σ x - σ y = - E ( α 1 - α 2 ) Δ T 1 - N 2 a - b a + b ,
σ x + σ y = - E ( α 1 - α 2 ) Δ T 1 - N 2 .
σ x - σ y = Re ( E ( α 1 - α 2 ) Δ T 1 - N 2 2 a b a 2 - b 2 × { 1 - x + i y [ ( x + i y ) 2 - a 2 + b 2 ] 1 / 2 } ) ,
σ x + σ y = 0.
Δ β 2 π ν = n x - n y = 1 2 n 3 ( p 11 - p 12 ) × ( α 1 - α 2 ) Δ T 1 - N 2 a - b a + b .
Δ ( s ) n x = 1 2 n 3 ( α 1 - α 2 ) Δ T 1 - N 2 1 a + b ( p 11 a + p 12 b ) ,
Δ ( s ) n y = 1 2 n 3 ( α 1 - α 2 ) Δ T 1 - N 2 1 a + b ( p 11 b + p 12 a ) .
Δ β ( s ) 2 π ν = [ 1 - u 2 ν 2 ] [ 1 2 n 3 ( p 11 - p 12 ) × ( α 1 - α 2 ) Δ T 1 - N 2 a - b a + b ] .
n x ( x 2 a 2 + y 2 b 2 1 ) - n x ( x 2 a 2 + y 2 b 2 > 1 ) > 0 ,
n y ( x 2 a 2 + y 2 b 2 1 ) - n y ( x 2 a 2 + y 2 b 2 > 1 ) = 0.
Δ n = Δ ( s ) n x - Δ ( s ) n y = 1 2 n 3 ( α 1 - α 2 ) Δ T 1 - N 2 ( p 11 - p 12 ) a - b a + b .

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