Abstract

A method for the measurement of the far-field power radiation pattern in axially symmetrical and nonsymmetrical single-mode optical fibers is proposed. The method, based on monitoring of the power passed through a variable-width slit in the far field, gives the power distribution as an associated Gauss–Laguerre expansion. The experimental setup permits the study of the power distribution and mode-field diameter dependence on the wavelength. Results for different types of single-mode optical fiber, including polarization-maintaining types, are presented.

© 1990 Optical Society of America

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  1. W. Freude, A. Sharma, IEEE J. Lightwave Technol. LT-3, 628 (1985).
    [Crossref]
  2. M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
    [Crossref]
  3. I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980).
  4. K. Petermann, Electron. Lett. 20, 144 (1983).
  5. F. Villuendas, F. Calvo, J. B. Marqués, Opt. Lett. 12, 941 (1987).
    [Crossref] [PubMed]
  6. P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

1989 (1)

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

1987 (1)

1985 (1)

W. Freude, A. Sharma, IEEE J. Lightwave Technol. LT-3, 628 (1985).
[Crossref]

1983 (1)

K. Petermann, Electron. Lett. 20, 144 (1983).

Agentoft, M.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Artiglia, M.

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Bonnedal, D.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Bosselaar, L.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Burgmeijer, J. W.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Calvo, F.

Coppa, G.

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

Di Vita, P.

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Freude, W.

W. Freude, A. Sharma, IEEE J. Lightwave Technol. LT-3, 628 (1985).
[Crossref]

Gilgen, H.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Gisin, N.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Gradshteyn, I. S.

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980).

Kiiveri, P.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Kuyt, G.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Marqués, J. B.

Nijnuis, T.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Pelayo, J.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Petermann, K.

K. Petermann, Electron. Lett. 20, 144 (1983).

Potenza, M.

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Pöyhgönen, P.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Raines, J. G.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Ryzhik, I. M.

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980).

Sharma, A.

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

W. Freude, A. Sharma, IEEE J. Lightwave Technol. LT-3, 628 (1985).
[Crossref]

van den Berk, J.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Villuendas, F.

F. Villuendas, F. Calvo, J. B. Marqués, Opt. Lett. 12, 941 (1987).
[Crossref] [PubMed]

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Vobian, J.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Walker, B.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Witchi, A.

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

Electron. Lett. (1)

K. Petermann, Electron. Lett. 20, 144 (1983).

IEEE J. Lightwave Technol. (2)

W. Freude, A. Sharma, IEEE J. Lightwave Technol. LT-3, 628 (1985).
[Crossref]

M. Artiglia, G. Coppa, P. Di Vita, M. Potenza, A. Sharma, IEEE J. Lightwave Technol. 7, 1139 (1989).
[Crossref]

Opt. Lett. (1)

Other (2)

P. di Vita, M. Artiglia, M. Potenza, D. Bonnedal, M. Agentoft, J. van den Berk, B. Walker, J. G. Raines, N. Gisin, G. Kuyt, L. Bosselaar, H. Gilgen, A. Witchi, J. W. Burgmeijer, T. Nijnuis, P. Kiiveri, P. Pöyhgönen, J. Pelayo, F. Villuendas, J. Vobian, in Proceedings of 15th European Conference on Optical Communication (ECOC, Gothenburg, Sweden, 1989), Vol. 1, p. 223.

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980).

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Figures (3)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

(a) Experimental points and fitted curves for dispersion-flattened fiber and (b) the corresponding power distributions. Dashed curves, one-term expansion; solid curves, four-term expansion.

Fig. 3
Fig. 3

Power distribution along the two orthogonal axes of the bow-tie fiber.

Tables (1)

Tables Icon

Table 1 Mode-Field Diameters of Symmetrical and Nonsymmetrical Single-Mode Fibersa

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ψ 2 ( r , θ ) = j = 0 ; i = j ω a i j Q i j ( r 2 r 0 2 ) cos ( j θ ) ,
Q i j ( x ) = x j / 2 exp ( x / 2 ) L i j ( x ) ,
ψ 2 ( x , y ) = k = 0 ; l = 0 n d k l exp ( x 2 + y 2 2 r 0 2 ) × H 2 k ( x 2 r 0 ) H 2 l ( y 2 r 0 ) ,
[ a 00 a 10 a 20 a 30 a 22 a 32 a 42 ] = [ 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 4 0 0 4 0 0 0 0 16 0 0 16 0 1 / 2 0 0 1 / 2 0 0 0 0 2 / 3 0 0 2 / 3 0 0 0 0 4 / 3 0 0 4 / 3 ] [ d 00 d 10 d 20 d 30 d 01 d 02 d 03 ] ,
P ( l ) = l + l d x + d y ψ 2 ( x ; y ) ,
P ( l ) P max = 2 f err ( l r 0 ) 1 2 π exp ( l 2 2 r 0 2 ) × [ i = 1 n d i 0 H 2 i 1 ( l 2 r 0 ) ] ,
( W k x ) 2 = + + Φ 2 ( k x , k y ) ( k x ) 2 d k x d k y + + Φ 2 ( k x , k y ) d k x d k y ,
Φ 2 ( k x , k y ) = ψ 2 ( x , y ) ( k z k ) 3 .
( W k x ) 2 = ( 2 π λ d ) 2 r 0 2 [ ( 1 / 2 + 2 d 10 ) ( 1 + 7 d 10 + 24 d 20 + d 10 ) 3 r 0 2 2 d 2 ] [ 1 ( 1 + 2 d 10 + 2 d 01 ) r 0 2 2 d 2 ] ,

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