Abstract

The periodic mode coupling between the LP01 and counterpropagating LP02 modes induced by a reflective fiber grating is investigated by using the coupled-mode theory. The properties of the mode conversion by the reflective fiber grating are compared with those by a transmissive grating that couples LP01 and LP02 modes in a same direction. Our results show that the former has a narrower power conversion spectrum than the latter.

© 1992 Optical Society of America

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References

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  1. K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
    [CrossRef]
  2. G. Meltz, W. W. Morey, W. H. Glenn, Opt. Lett. 14, 823 (1989).
    [CrossRef] [PubMed]
  3. F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
    [CrossRef]
  4. C.-X. Shi, T. Okoshi, Opt. Lett. 17, 719 (1992).
    [CrossRef] [PubMed]

1992 (1)

1991 (1)

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

1989 (1)

1978 (1)

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
[CrossRef]

Bilodoau, F.

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

Fujii, Y.

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
[CrossRef]

Glenn, W. H.

Hill, K. O.

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
[CrossRef]

Johnson, D. C.

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
[CrossRef]

Kawasaki, B. S.

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
[CrossRef]

Malo, B.

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

Meltz, G.

Morey, W. W.

Okoshi, T.

Shi, C.-X.

Skinner, I. M.

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

Appl. Phys. Lett. (1)

K. O. Hill, Y. Fujii, D. C. Johnson, B. S. Kawasaki, Appl. Phys. Lett. 32, 647 (1978).
[CrossRef]

Electron. Lett. (1)

F. Bilodoau, K. O. Hill, B. Malo, D. C. Johnson, I. M. Skinner, Electron. Lett. 27, 682 (1991).
[CrossRef]

Opt. Lett. (2)

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Figures (5)

Fig. 1
Fig. 1

Illustration of the mechanism of the mode conversion between LP01 and counterpropagating LP02 modes by a reflective fiber grating.

Fig. 2
Fig. 2

Spectra of the mode conversion efficiency by a reflective fiber grating. Parameters are the photoinduced index change and the grating length: curve a, δ(n2) = 2 × 10−4 and L = 4.5 cm; curve b, δ(n2) = 1 × 10−4 and L = 8.8 cm; curve c, δ(n2) = 5 × 10−5 and L = 17.8 cm.

Fig. 3
Fig. 3

Reflective mode conversion efficiency as a function of the grating length, with the photoinduced index change as a parameter.

Fig. 4
Fig. 4

Spectra of the mode conversion efficiency by the transmissive fiber grating for various photoinduced index change: curve a, δ(n2) = 2 × 10−4; curve b, δ(n2) = 1 × 10−4; curve c, δ(n2) = 5 × 10−5.

Fig. 5
Fig. 5

Detuning parameter of the grating as a function of the wavelength for (a) transmissive mode conversion and (b) reflective mode conversion.

Equations (4)

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k = k 0 δ ( n 2 ) [ 1 ( U 01 V ) 2 ] 1 / 2 [ 1 ( U 02 V ) 2 ] 1 / 2 n 1 ( U 01 2 U 02 2 ) × [ U 01 J 0 ( U 02 ) J 1 ( U 02 ) U 02 J 0 ( U 01 ) J 1 ( U 01 ) ] ,
C r = k 2 sinh 2 [ k 2 ( δ r 2 ) 2 L ] ( δ r 2 ) 2 sinh 2 [ k 2 ( δ r 2 ) 2 L ] + [ k 2 ( δ r 2 ) 2 ] cosh 2 [ k 2 ( δ r 2 ) 2 L ] for k > δ r 2 ,
= k 2 sin 2 [ ( δ r 2 ) 2 k 2 L ] ( δ r 2 ) 2 k 2 cos 2 [ ( δ r 2 ) 2 k 2 L ] for k < δ r 2 ,
C t = k 2 sin 2 { [ ( δ t 2 ) 2 + k 2 ] 1 / 2 L } k 2 + ( δ t 2 ) 2 .

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