Abstract

The two-dimensional (2-D) axial stress profile of a single-mode fiber is obtained with an optical tomographic measurement technique. All stress components of the fiber are calculated from a measured axial stress profile. We demonstrate that the differential group delay induced by intrinsic nonsymmetric stress as well as the induced linear birefringence between two orthogonal polarization modes can be determined with an analytic technique based on a vector perturbation method from a measured asymmetric 2-D stress distribution.

© 2002 Optical Society of America

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References

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  1. C. D. Poole and J. Nàgle, Optical Fiber Telecommunications IIIA, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), pp. 114–161.
    [CrossRef]
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    [CrossRef]
  4. T. Abe, Y. Mitsunaga, and H. Koga, J. Opt. Soc. Am. A 3, 133 (1986).
    [CrossRef]
  5. A. Puro and K. E. Kell, J. Lightwave Technol. 10, 1010 (1992).
    [CrossRef]
  6. Y. Park, T.-J. Ahn, Y. H. Kim, W.-T. Han, U. C. Paek, and D. Y. Kim, Appl. Opt. 41, 21 (2002).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  8. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society of Industrial and Applied Mathematics, Philadelphia, Pa., 2001), Chap. 3.
    [CrossRef]
  9. K. Okamoto, Fundamentals of Optical Waveguides (Academic, New York, 2000), Chap. 3.

2002 (1)

2000 (1)

D. Chowdhury and D. Wilcox, IEEE J. Sel. Topics Quantum Electron. 6, 227 (2000).
[CrossRef]

1995 (1)

1992 (1)

A. Puro and K. E. Kell, J. Lightwave Technol. 10, 1010 (1992).
[CrossRef]

1986 (1)

1982 (1)

Abe, T.

Ahn, T.-J.

Chowdhury, D.

D. Chowdhury and D. Wilcox, IEEE J. Sel. Topics Quantum Electron. 6, 227 (2000).
[CrossRef]

Chowdhury, D. Q.

Chu, P. L.

Han, W.-T.

Kak, A. C.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society of Industrial and Applied Mathematics, Philadelphia, Pa., 2001), Chap. 3.
[CrossRef]

Kell, K. E.

A. Puro and K. E. Kell, J. Lightwave Technol. 10, 1010 (1992).
[CrossRef]

Kim, D. Y.

Kim, Y. H.

Koga, H.

Mitsunaga, Y.

Nàgle, J.

C. D. Poole and J. Nàgle, Optical Fiber Telecommunications IIIA, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), pp. 114–161.
[CrossRef]

Nolan, D. A.

Okamoto, K.

K. Okamoto, Fundamentals of Optical Waveguides (Academic, New York, 2000), Chap. 3.

Paek, U. C.

Park, Y.

Poole, C. D.

C. D. Poole and J. Nàgle, Optical Fiber Telecommunications IIIA, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), pp. 114–161.
[CrossRef]

Puro, A.

A. Puro and K. E. Kell, J. Lightwave Technol. 10, 1010 (1992).
[CrossRef]

Slaney, M.

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society of Industrial and Applied Mathematics, Philadelphia, Pa., 2001), Chap. 3.
[CrossRef]

Whitbread, T.

Wilcox, D.

D. Chowdhury and D. Wilcox, IEEE J. Sel. Topics Quantum Electron. 6, 227 (2000).
[CrossRef]

Appl. Opt. (2)

IEEE J. Sel. Topics Quantum Electron. (1)

D. Chowdhury and D. Wilcox, IEEE J. Sel. Topics Quantum Electron. 6, 227 (2000).
[CrossRef]

J. Lightwave Technol. (1)

A. Puro and K. E. Kell, J. Lightwave Technol. 10, 1010 (1992).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Lett. (1)

Other (3)

C. D. Poole and J. Nàgle, Optical Fiber Telecommunications IIIA, I. P. Kaminow and T. L. Koch, eds. (Academic, New York, 1997), pp. 114–161.
[CrossRef]

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society of Industrial and Applied Mathematics, Philadelphia, Pa., 2001), Chap. 3.
[CrossRef]

K. Okamoto, Fundamentals of Optical Waveguides (Academic, New York, 2000), Chap. 3.

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Figures (3)

Fig. 1
Fig. 1

(a) Isophase plot of the measured 2-D profile projected phase retardation with 50 different projection angles from -90° to 90°. (b) 2-D axial stress profile σzz calculated from the data shown in Fig. 1(a).

Fig. 2
Fig. 2

Normalized asymmetric stress function gr,θ showing the asymmetric distribution of the axial stress near the core region of the fiber.

Fig. 3
Fig. 3

(a) Contour plot of measured axial stress σzz (b), (c), and (d) Contour plots of σrr,σθθ, and σrθ, respectively, which are calculated from σzz.

Equations (7)

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δαt=2π/λnzt,s-ntt,sds,
σzzx,y=λ2πC0π-Sαξ,αξ×expj2πξtdξdα,
σzz=σ0r+Δσr,θ,    σ0r12π02πσzzdθ.
2Fr2+1rFr+1r22Fθ2=σzz-χ,
σrr=1rFr+1r22F2θ,    σθθ=2Fr2,σrθ=1r2Fθ-1r2Frθ.
K˜pq-δpqKpq=2nC1-C2σpq+C2δpqk=r,θ,zσkk,
jddzAB=c11c12c21c22AB,cij=ω002π0Ei*·ΔKEjrdrdθ02π0zˆ·Ei*×Hi+Ei×Hi*rdrdθ.

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