Abstract

Suitable functions fitted to transverse offset data for measuring the mode field diameter according to the Petermann II definition are investigated with the help of computer simulation using three different model functions. The Gaussian fit to points in the vicinity of the curve maximum gives the best results.

© 1988 Optical Society of America

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References

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  1. K. Petermann, Electron. Lett. 19, 712 (1983).
    [CrossRef]
  2. C. Pask, Electron. Lett. 20, 144 (1984).
    [CrossRef]
  3. J. Streckert, Opt. Lett. 5, 505 (1980).
    [CrossRef] [PubMed]
  4. E. Nicolaisen, P. Danielsen, Electron. Lett. 19, 27 (1983).
    [CrossRef]
  5. P. J. Samson, Opt. Quantum Electron. 18, 5 (1986).
    [CrossRef]
  6. W. J. Stewart, G. J. Rees, D. C. J. Reid, “Waveguide dispersion measurements in monomode fibers from spot size,” presented at 10th European Conference on Optical Communication, Stuttgart, 1984.
  7. W. T. Anderson, IEEE J. Lightwave Technol. LT-2, 191 (1984).
    [CrossRef]
  8. J. Streckert, IEEE J. Lightwave Technol. LT-3, 328 (1985).
    [CrossRef]
  9. M. Calzavara, G. Coppa, P. Di Vita, Natl. Bur. Stand. (U.S.) Spec. Publ. 720, 53 (1986).
  10. W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
    [CrossRef]

1987

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

1986

P. J. Samson, Opt. Quantum Electron. 18, 5 (1986).
[CrossRef]

M. Calzavara, G. Coppa, P. Di Vita, Natl. Bur. Stand. (U.S.) Spec. Publ. 720, 53 (1986).

1985

J. Streckert, IEEE J. Lightwave Technol. LT-3, 328 (1985).
[CrossRef]

1984

W. T. Anderson, IEEE J. Lightwave Technol. LT-2, 191 (1984).
[CrossRef]

C. Pask, Electron. Lett. 20, 144 (1984).
[CrossRef]

1983

K. Petermann, Electron. Lett. 19, 712 (1983).
[CrossRef]

E. Nicolaisen, P. Danielsen, Electron. Lett. 19, 27 (1983).
[CrossRef]

1980

Anderson, W. T.

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

W. T. Anderson, IEEE J. Lightwave Technol. LT-2, 191 (1984).
[CrossRef]

Calzavara, M.

M. Calzavara, G. Coppa, P. Di Vita, Natl. Bur. Stand. (U.S.) Spec. Publ. 720, 53 (1986).

Coppa, G.

M. Calzavara, G. Coppa, P. Di Vita, Natl. Bur. Stand. (U.S.) Spec. Publ. 720, 53 (1986).

Curtis, L.

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

Danielsen, P.

E. Nicolaisen, P. Danielsen, Electron. Lett. 19, 27 (1983).
[CrossRef]

Di Vita, P.

M. Calzavara, G. Coppa, P. Di Vita, Natl. Bur. Stand. (U.S.) Spec. Publ. 720, 53 (1986).

Johnson, A. J.

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

Kilmer, J. P.

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

Nicolaisen, E.

E. Nicolaisen, P. Danielsen, Electron. Lett. 19, 27 (1983).
[CrossRef]

Pask, C.

C. Pask, Electron. Lett. 20, 144 (1984).
[CrossRef]

Petermann, K.

K. Petermann, Electron. Lett. 19, 712 (1983).
[CrossRef]

Rees, G. J.

W. J. Stewart, G. J. Rees, D. C. J. Reid, “Waveguide dispersion measurements in monomode fibers from spot size,” presented at 10th European Conference on Optical Communication, Stuttgart, 1984.

Reid, D. C. J.

W. J. Stewart, G. J. Rees, D. C. J. Reid, “Waveguide dispersion measurements in monomode fibers from spot size,” presented at 10th European Conference on Optical Communication, Stuttgart, 1984.

Samson, P. J.

P. J. Samson, Opt. Quantum Electron. 18, 5 (1986).
[CrossRef]

Shah, V.

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

Stewart, W. J.

W. J. Stewart, G. J. Rees, D. C. J. Reid, “Waveguide dispersion measurements in monomode fibers from spot size,” presented at 10th European Conference on Optical Communication, Stuttgart, 1984.

Streckert, J.

J. Streckert, IEEE J. Lightwave Technol. LT-3, 328 (1985).
[CrossRef]

J. Streckert, Opt. Lett. 5, 505 (1980).
[CrossRef] [PubMed]

Electron. Lett.

E. Nicolaisen, P. Danielsen, Electron. Lett. 19, 27 (1983).
[CrossRef]

K. Petermann, Electron. Lett. 19, 712 (1983).
[CrossRef]

C. Pask, Electron. Lett. 20, 144 (1984).
[CrossRef]

IEEE J. Lightwave Technol.

W. T. Anderson, V. Shah, L. Curtis, A. J. Johnson, J. P. Kilmer, IEEE J. Lightwave Technol. LT-5, 211 (1987).
[CrossRef]

W. T. Anderson, IEEE J. Lightwave Technol. LT-2, 191 (1984).
[CrossRef]

J. Streckert, IEEE J. Lightwave Technol. LT-3, 328 (1985).
[CrossRef]

Natl. Bur. Stand. (U.S.) Spec. Publ.

M. Calzavara, G. Coppa, P. Di Vita, Natl. Bur. Stand. (U.S.) Spec. Publ. 720, 53 (1986).

Opt. Lett.

Opt. Quantum Electron.

P. J. Samson, Opt. Quantum Electron. 18, 5 (1986).
[CrossRef]

Other

W. J. Stewart, G. J. Rees, D. C. J. Reid, “Waveguide dispersion measurements in monomode fibers from spot size,” presented at 10th European Conference on Optical Communication, Stuttgart, 1984.

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Figures (3)

Fig. 1
Fig. 1

Error (wp,g,cw)/w versus δmax for two standard and two dispersion-shifted fibers and power-transmission function T(δ): Solid lines, fiber 1 at λ = 1.3 μm, 2w = 9.4 μm; dashed lines, fiber 2 at λ = 1.3 μm, 2w = 10.3 μm; dotted lines, fiber 3 at λ = 1.55 μm, 2w = 5.8 μm; dashed–dotted lines, fiber 4 at λ = 1.55 μm, 2w = 7.8 μm.

Fig. 2
Fig. 2

Error (wp,g,cw)/w versus δmax for a triple-clad fiber and power-transmission function T(δ): solid lines, fiber 5 at λ = 1.3 μm, 2w = 6.9 μm; dashed lines, fiber 5 at λ = 1.55 μm, 2w = 8.3 μm.

Fig. 3
Fig. 3

Error (wp,g,cw)/w versus δmax for a quadruple-clad fiber and power-transmission function T(δ): solid lines, fiber 6 at λ = 1.3 μm, 2w = 5.7 μm; dashed lines, fiber 6 at λ = 1.55 μm, 2w = 6.5 μm.

Tables (1)

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Table 1 Profile Data for Single-Mode Fibers

Equations (9)

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2 w = 2 [ 2 T ( 0 ) d 2 T ( δ ) d δ 2 | δ = 0 ] 1 / 2 ,
( case a ) , parabola T p ( δ ) = 1 ( δ w p ) 2 ,
( case b ) , Gaussian T g ( δ ) = exp [ ( δ / w g ) 2 ] ,
( case c ) , combined function T c ( δ ) = ( A + B δ 2 ) exp [ ( δ / w a ) 2 ] ,
( case a ) 2 w 2 [ 2 1 ( δ / w p ) 2 2 / w p 2 | δ = 0 ] 1 / 2 = 2 w p ,
( case b ) 2 w 2 [ 2 exp [ ( δ / w g ) 2 ] ( 2 / w g 2 + 4 δ 2 / w g 4 ) exp [ ( δ / w g ) 2 ] | δ = 0 ] 1 / 2 = 2 w g ,
( case c ) 2 w 2 ( A w a 2 A B w a 2 ) 1 / 2 = 2 w c .
( case a ) [ 1 T ( δ ) ] = f ( δ 2 ) ,
( case b ) ln [ T ( δ ) ] = f ( δ 2 ) .

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