Abstract

Coiling a single-mode fiber of radius r under tension onto a cylinder of radius R produces a linear birefringence of βtc ≃ 28 × 107 2r/R deg/m in the fiber at λ = 0.63 μm, where z is the relative fiber elongation. Polarization beat lengths down to 2.5 cm have been realized this way, providing excellent polarization holding.

© 1980 Optical Society of America

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References

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  1. R. Ulrich, M. Johnson, Opt. Lett. 4, 142 (1979); R. Ulrich, Opt. Lett. 5, 173 (1980).
    [CrossRef] [PubMed]
  2. J. A. Bucaro, H. D. Dardy, E. F. Carome, J. Acoust. Soc. Am. 62, 1302 (1977).
    [CrossRef]
  3. G. B. Hocker, Appl. Opt. 18, 1445 (1979).
    [CrossRef] [PubMed]
  4. R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
    [CrossRef]
  5. I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
    [CrossRef]
  6. R. B. Dyott, J. R. Cozens, D. G. Morris, Electron Lett. 15, 380 (1979).
    [CrossRef]
  7. R. Ulrich, S. C. Rashleigh, W. Eickhoff, Opt. Lett. 5, 273 (1980).
    [CrossRef] [PubMed]
  8. J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, 1969).
  9. N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity (Noordhoff, Gromingen, Holland, 1953).
  10. R. Ulrich, S. C. Rashleigh, to be published.
  11. D. E. Gray, ed., American Institute of Physics Handbook, 34rd ed. (McGraw Hill, New York, 1972).

1980

1979

G. B. Hocker, Appl. Opt. 18, 1445 (1979).
[CrossRef] [PubMed]

I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
[CrossRef]

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

R. Ulrich, M. Johnson, Opt. Lett. 4, 142 (1979); R. Ulrich, Opt. Lett. 5, 173 (1980).
[CrossRef] [PubMed]

1978

R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

1977

J. A. Bucaro, H. D. Dardy, E. F. Carome, J. Acoust. Soc. Am. 62, 1302 (1977).
[CrossRef]

Bucaro, J. A.

J. A. Bucaro, H. D. Dardy, E. F. Carome, J. Acoust. Soc. Am. 62, 1302 (1977).
[CrossRef]

Carome, E. F.

J. A. Bucaro, H. D. Dardy, E. F. Carome, J. Acoust. Soc. Am. 62, 1302 (1977).
[CrossRef]

Cozens, J. R.

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

Dardy, H. D.

J. A. Bucaro, H. D. Dardy, E. F. Carome, J. Acoust. Soc. Am. 62, 1302 (1977).
[CrossRef]

Dyott, R. B.

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

Eickhoff, W.

Hocker, G. B.

Johnson, M.

R. Ulrich, M. Johnson, Opt. Lett. 4, 142 (1979); R. Ulrich, Opt. Lett. 5, 173 (1980).
[CrossRef] [PubMed]

Kaiser, P.

R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Kaminow, I. P.

I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
[CrossRef]

MacChesney, J. B.

I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
[CrossRef]

Morris, D. G.

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

Muskhelishvili, N. I.

N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity (Noordhoff, Gromingen, Holland, 1953).

Nye, J. F.

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

Pleibel, W.

R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Presby, H. M.

I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
[CrossRef]

Ramaswamy, V.

R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Rashleigh, S. C.

Simpson, J. R.

I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
[CrossRef]

Stolen, R. H.

R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Ulrich, R.

R. Ulrich, S. C. Rashleigh, W. Eickhoff, Opt. Lett. 5, 273 (1980).
[CrossRef] [PubMed]

R. Ulrich, M. Johnson, Opt. Lett. 4, 142 (1979); R. Ulrich, Opt. Lett. 5, 173 (1980).
[CrossRef] [PubMed]

R. Ulrich, S. C. Rashleigh, to be published.

Appl. Opt.

Appl. Phys. Lett.

R. H. Stolen, V. Ramaswamy, P. Kaiser, W. Pleibel, Appl. Phys. Lett. 33, 699 (1978).
[CrossRef]

Electron Lett.

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

Electron. Lett.

I. P. Kaminow, J. R. Simpson, H. M. Presby, J. B. MacChesney, Electron. Lett. 15, 677 (1979).
[CrossRef]

J. Acoust. Soc. Am.

J. A. Bucaro, H. D. Dardy, E. F. Carome, J. Acoust. Soc. Am. 62, 1302 (1977).
[CrossRef]

Opt. Lett.

R. Ulrich, S. C. Rashleigh, W. Eickhoff, Opt. Lett. 5, 273 (1980).
[CrossRef] [PubMed]

R. Ulrich, M. Johnson, Opt. Lett. 4, 142 (1979); R. Ulrich, Opt. Lett. 5, 173 (1980).
[CrossRef] [PubMed]

Other

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

N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity (Noordhoff, Gromingen, Holland, 1953).

R. Ulrich, S. C. Rashleigh, to be published.

D. E. Gray, ed., American Institute of Physics Handbook, 34rd ed. (McGraw Hill, New York, 1972).

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Figures (2)

Fig. 1
Fig. 1

Geometry of the tension-coiled fiber.

Fig. 2
Fig. 2

Tension-coiled birefringence βtc of single-mode silica fibers. The solid lines represent the calculated birefringence. Measurements for λ = 0.633 μm are indicated by the dots.

Equations (7)

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β = k x k y = k ( n 3 / 2 E ) × ( p 11 p 12 ) ( 1 + ν ) ( σ x σ y ) .
σ x ( 2 ) ( x ) = σ x ( 2 ) ( x + d x ) + ( R + x ) 1 σ z ( 1 ) d x .
σ x ( 2 ) / x = κ σ ¯ z + κ 2 Ex
σ x ( 2 ) ( x ) = κ σ ¯ z ( x r ) + κ 2 E ( x 2 r 2 ) .
β tc , s = k ( n 3 / 2 ) ( p 11 p 12 ) ( 1 + ν ) κr ¯ z ( 1 ) .
β tc = k ( n 3 / 2 ) ( p 11 p 12 ) × ( 1 + ν ) ( 2 3 ν ) ( 1 ν ) 1 κr ¯ z .
β tc = 28 × 10 7 κr ¯ z deg / m .

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