Abstract

In a bent optical fiber, lateral internal stress induces a birefringence, βb. At λ = 0.633 μm in a silica fiber, βb = 7.7 × 107 r2/R2 deg/m, where r is the fiber radius and R is the bending radius.

© 1980 Optical Society of America

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References

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  1. D. Marcuse, Theory of Optical Waveguides (Academic, New York, 1974); J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
    [CrossRef]
  2. Y. Namihira, M. Kudo, Y. Mushiako, Trans. Inst. Chem. Eng. 60 C, 391 (1977).
  3. R. Ulrich, A. Simon, Appl. Opt. 18, 2241 (1979).
    [CrossRef] [PubMed]
  4. A. M. Smith, presented at the Optical Communication Conference, Amsterdam, The Netherlands, September 1979, paper 10.2.
  5. N. I. Muskhelishvili, “Einige Grundaufgaben zur mathematischen Elastizitätstheorie” (Carl Hanser Verlag, Munich, 1971).
  6. J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, UK, (1969).
  7. D. E. Gray, ed., American Institute of Physics Handbook, 3rd ed. (McGraw-Hill, New York, 1972).
  8. A. M. Smith, Central Electricity Research Laboratories, Leatherhead, Surrey KT22 7SE, England, personal communication.

1979 (1)

1977 (1)

Y. Namihira, M. Kudo, Y. Mushiako, Trans. Inst. Chem. Eng. 60 C, 391 (1977).

Kudo, M.

Y. Namihira, M. Kudo, Y. Mushiako, Trans. Inst. Chem. Eng. 60 C, 391 (1977).

Marcuse, D.

D. Marcuse, Theory of Optical Waveguides (Academic, New York, 1974); J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

Mushiako, Y.

Y. Namihira, M. Kudo, Y. Mushiako, Trans. Inst. Chem. Eng. 60 C, 391 (1977).

Muskhelishvili, N. I.

N. I. Muskhelishvili, “Einige Grundaufgaben zur mathematischen Elastizitätstheorie” (Carl Hanser Verlag, Munich, 1971).

Namihira, Y.

Y. Namihira, M. Kudo, Y. Mushiako, Trans. Inst. Chem. Eng. 60 C, 391 (1977).

Nye, J. F.

J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, UK, (1969).

Simon, A.

Smith, A. M.

A. M. Smith, presented at the Optical Communication Conference, Amsterdam, The Netherlands, September 1979, paper 10.2.

A. M. Smith, Central Electricity Research Laboratories, Leatherhead, Surrey KT22 7SE, England, personal communication.

Ulrich, R.

Appl. Opt. (1)

Trans. Inst. Chem. Eng. (1)

Y. Namihira, M. Kudo, Y. Mushiako, Trans. Inst. Chem. Eng. 60 C, 391 (1977).

Other (6)

A. M. Smith, presented at the Optical Communication Conference, Amsterdam, The Netherlands, September 1979, paper 10.2.

N. I. Muskhelishvili, “Einige Grundaufgaben zur mathematischen Elastizitätstheorie” (Carl Hanser Verlag, Munich, 1971).

J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, UK, (1969).

D. E. Gray, ed., American Institute of Physics Handbook, 3rd ed. (McGraw-Hill, New York, 1972).

A. M. Smith, Central Electricity Research Laboratories, Leatherhead, Surrey KT22 7SE, England, personal communication.

D. Marcuse, Theory of Optical Waveguides (Academic, New York, 1974); J. D. Love, R. A. Sammut, A. W. Snyder, Electron. Lett. 15, 615 (1979).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Geometry of a bent fiber.

Fig. 2
Fig. 2

Bending birefringence of single-mode silica fibers. The solid line represents the calculated birefringence (Eq. (5)]. The points are measurements at 0.633 and 0.676 μm using three fibers of different origins.

Equations (8)

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σ x ( x + d x ) - σ x ( x ) = ( R + x ) - 1 σ z ( x ) d x
σ x / x = κ 2 E x .
σ x ( x ) = κ 2 ( E / 2 ) ( x 2 - r 2 ) .
β b = 0.25 k n 3 ( p 11 - p 12 ) ( 1 + ν ) κ 2 r 2
β b = - 7.7 × 10 7 κ 2 r 2 deg / m .
f ( α ) = - κ 2 r 2 ( E / 6 ) [ i sin 3 α - ν ( 1 - ν ) - 1 × ( 3 cos α - cos 3 α ) ] ,
δ σ ( 2 ) = ( i / π ) f ¯ ζ - 2 - 3 f ζ - 4 ) d ζ ,
= - k 2 r 2 ( E / 2 ) ν ( 1 - ν ) - 1 .

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