Abstract

We report on the generation of optical masks that permit the spatial shaping of a laser beam so that one can selectively excite single modes of a multimode parabolic graded-index optical fiber. The amplitude masks are determined by the analytical radial function of the fiber mode in the weakly guiding approximation. Phase reversal is encoded on the transparency through a shifted-grating technique. Effective injection and propagation of a single mode in a largely multimode fiber are shown as examples.

© 1994 Optical Society of America

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References

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  1. N. S. Kapany, J. J. Burke, in Optical Waveguides (Academic, New York, 1972), Chap. 5.
  2. P. S. Szczepanek, J. W. Berthold, Appl. Opt. 17, 3245 (1978).
    [CrossRef] [PubMed]
  3. P. Facq, P. Fournet, J. Arnaud, Electron. Lett. 16, 649 (1980).
    [CrossRef]
  4. P. Facq, F. de Fornel, F. Jean, Electron. Lett. 20, 613 (1984).
    [CrossRef]
  5. D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
    [CrossRef]
  6. P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
    [CrossRef]
  7. B. K. Garside, T. K. Lim, J. P. Marton, J. Opt. Soc. Am. 70, 395 (1980).
    [CrossRef]
  8. A. W. Lohmann, D. P. Paris, Appl. Opt. 6, 1739 (1967).
    [CrossRef] [PubMed]
  9. W.-H. Lee, Appl. Opt. 9, 639 (1970).
    [CrossRef] [PubMed]
  10. J. P. Allebach, Appl. Opt. 20, 290 (1981).
    [CrossRef] [PubMed]

1992 (1)

P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
[CrossRef]

1991 (1)

D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
[CrossRef]

1984 (1)

P. Facq, F. de Fornel, F. Jean, Electron. Lett. 20, 613 (1984).
[CrossRef]

1981 (1)

1980 (2)

B. K. Garside, T. K. Lim, J. P. Marton, J. Opt. Soc. Am. 70, 395 (1980).
[CrossRef]

P. Facq, P. Fournet, J. Arnaud, Electron. Lett. 16, 649 (1980).
[CrossRef]

1978 (1)

1970 (1)

1967 (1)

Allebach, J. P.

Arnaud, J.

P. Facq, P. Fournet, J. Arnaud, Electron. Lett. 16, 649 (1980).
[CrossRef]

Berthold, J. W.

Blondy, J.-M.

P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
[CrossRef]

D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
[CrossRef]

Burke, J. J.

N. S. Kapany, J. J. Burke, in Optical Waveguides (Academic, New York, 1972), Chap. 5.

de Fornel, F.

P. Facq, F. de Fornel, F. Jean, Electron. Lett. 20, 613 (1984).
[CrossRef]

Di Bin, P.

P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
[CrossRef]

Facq, P.

D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
[CrossRef]

P. Facq, F. de Fornel, F. Jean, Electron. Lett. 20, 613 (1984).
[CrossRef]

P. Facq, P. Fournet, J. Arnaud, Electron. Lett. 16, 649 (1980).
[CrossRef]

Faugeras, P.

P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
[CrossRef]

D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
[CrossRef]

Fournet, P.

P. Facq, P. Fournet, J. Arnaud, Electron. Lett. 16, 649 (1980).
[CrossRef]

Garside, B. K.

Jean, F.

P. Facq, F. de Fornel, F. Jean, Electron. Lett. 20, 613 (1984).
[CrossRef]

Kapany, N. S.

N. S. Kapany, J. J. Burke, in Optical Waveguides (Academic, New York, 1972), Chap. 5.

Lee, W.-H.

Lim, T. K.

Lohmann, A. W.

Marton, J. P.

Pagnoux, D.

P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
[CrossRef]

D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
[CrossRef]

Paris, D. P.

Szczepanek, P. S.

Appl. Opt. (4)

Electron. Lett. (2)

P. Facq, P. Fournet, J. Arnaud, Electron. Lett. 16, 649 (1980).
[CrossRef]

P. Facq, F. de Fornel, F. Jean, Electron. Lett. 20, 613 (1984).
[CrossRef]

Fiber Integr. Opt. (1)

D. Pagnoux, J.-M. Blondy, P. Faugeras, P. Facq, Fiber Integr. Opt. 10, 49 (1991).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Commun. (1)

P. Faugeras, D. Pagnoux, P. Di Bin, J.-M. Blondy, Opt. Commun. 90, 35 (1992).
[CrossRef]

Other (1)

N. S. Kapany, J. J. Burke, in Optical Waveguides (Academic, New York, 1972), Chap. 5.

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Figures (3)

Fig. 1
Fig. 1

Optical setup for selective injection of the propagation mode into a highly multimode fiber.

Fig. 2
Fig. 2

(a) Photograph of the mask for generating the LP41 mode, (b) photograph of the mask for generating the LP02 mode.

Fig. 3
Fig. 3

(a) Photograph of the light distribution at the output face of the fiber after propagation of the LP41 mode, (b) photograph of the light distribution at the output face of the fiber after propagation of the LP02 mode.

Equations (4)

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h T ( x , y ) = { s , t . = - n 2 n 2 - 1 [ h c + ( x , y ) δ ( s - x e ) δ ( t - y e ) + h c - ( x , y ) δ ( s - 1 2 - x e ) δ ( t - y e ) ] } [ r ( 4 x e ) r ( 2 y e ) ] ,
H T ( x λ f , y λ f ) = A λ f { U , V = - + [ H c + ( x λ f + U e , y λ f + V e ) + ( - 1 ) U H c - ( x λ f + U e , y λ f + V e ) ] } × [ e 2 8 R ( e 4 x λ f ) R ( e 2 y λ f ) ] ,
H T ( 1 , 0 ) ( x λ f , y λ f ) = A λ f [ H c + ( x λ f + 1 e , y λ f ) - H c - ( x λ f + 1 e , y λ f ) ] × [ e 2 8 R ( e 4 x λ f ) R ( e 2 y λ f ) ] .
h T ( 1 , 0 ) ( x , y ) = A f f [ exp ( 2 π i x f e f ) h c ( x f f , y f f ) ] [ r ( 4 x f f ) r ( 2 y f f ) ] .

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