Abstract

Power-controlled switching between any output ports of different multiple-core nonlinear directional couplers is predicted. The input-output characteristic is calculated both at the half-beat length and the beat length. A second conservation law has been found in addition to the power conservation law.

© 1991 Optical Society of America

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References

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  1. S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
    [CrossRef]
  2. B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
    [CrossRef]
  3. Y. Kimura, M. Nakazawa, S. Seikai, IEEE J. Quantum Electron. QE-23, 1261 (1987).
    [CrossRef]
  4. F. Matera, S. Wabnitz, Opt. Lett. 11, 467 (1986).
    [CrossRef] [PubMed]
  5. S. Trillo, S. Wabnitz, Appl. Phys. Lett. 51, 555 (1987).
    [CrossRef]
  6. A. Ankiewicz, A. Altintas, A. W. Snyder, Opt. Lett. 13, 524 (1988).
    [CrossRef] [PubMed]
  7. H. A. Haus, L. Molter-Orr, IEEE J. Quantum Electron. QE-19, 840 (1983).
    [CrossRef]
  8. R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
    [CrossRef]
  9. N. Kishi, E. Yamashita, H. Kawabata, IEEE J. Lightwave Technol. 7, 902 (1989).
    [CrossRef]
  10. Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 76 (1990).
    [CrossRef]
  11. D. B. Mortimore, Appl. Opt. 29, 371 (1990).
    [CrossRef] [PubMed]
  12. N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
    [CrossRef]
  13. Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 77 (1990).
    [CrossRef]
  14. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

1990 (4)

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 76 (1990).
[CrossRef]

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[CrossRef]

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 77 (1990).
[CrossRef]

D. B. Mortimore, Appl. Opt. 29, 371 (1990).
[CrossRef] [PubMed]

1989 (1)

N. Kishi, E. Yamashita, H. Kawabata, IEEE J. Lightwave Technol. 7, 902 (1989).
[CrossRef]

1988 (1)

1987 (2)

S. Trillo, S. Wabnitz, Appl. Phys. Lett. 51, 555 (1987).
[CrossRef]

Y. Kimura, M. Nakazawa, S. Seikai, IEEE J. Quantum Electron. QE-23, 1261 (1987).
[CrossRef]

1986 (2)

R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
[CrossRef]

F. Matera, S. Wabnitz, Opt. Lett. 11, 467 (1986).
[CrossRef] [PubMed]

1985 (1)

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[CrossRef]

1983 (1)

H. A. Haus, L. Molter-Orr, IEEE J. Quantum Electron. QE-19, 840 (1983).
[CrossRef]

1982 (1)

S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[CrossRef]

Altintas, A.

Ankiewicz, A.

Black, R. J.

R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
[CrossRef]

Chen, Y.

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 77 (1990).
[CrossRef]

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 76 (1990).
[CrossRef]

Daino, B.

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[CrossRef]

Finlayson, N.

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[CrossRef]

Gagnon, L.

R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
[CrossRef]

Gregori, G.

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[CrossRef]

Haus, H. A.

H. A. Haus, L. Molter-Orr, IEEE J. Quantum Electron. QE-19, 840 (1983).
[CrossRef]

Jensen, S. M.

S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[CrossRef]

Kawabata, H.

N. Kishi, E. Yamashita, H. Kawabata, IEEE J. Lightwave Technol. 7, 902 (1989).
[CrossRef]

Kimura, Y.

Y. Kimura, M. Nakazawa, S. Seikai, IEEE J. Quantum Electron. QE-23, 1261 (1987).
[CrossRef]

Kishi, N.

N. Kishi, E. Yamashita, H. Kawabata, IEEE J. Lightwave Technol. 7, 902 (1989).
[CrossRef]

Love, J. D.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Matera, F.

Mitchell, D. J.

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 77 (1990).
[CrossRef]

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 76 (1990).
[CrossRef]

Molter-Orr, L.

H. A. Haus, L. Molter-Orr, IEEE J. Quantum Electron. QE-19, 840 (1983).
[CrossRef]

Mortimore, D. B.

Nakazawa, M.

Y. Kimura, M. Nakazawa, S. Seikai, IEEE J. Quantum Electron. QE-23, 1261 (1987).
[CrossRef]

Seikai, S.

Y. Kimura, M. Nakazawa, S. Seikai, IEEE J. Quantum Electron. QE-23, 1261 (1987).
[CrossRef]

Snyder, A. W.

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 76 (1990).
[CrossRef]

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 77 (1990).
[CrossRef]

A. Ankiewicz, A. Altintas, A. W. Snyder, Opt. Lett. 13, 524 (1988).
[CrossRef] [PubMed]

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Stegeman, G. I.

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[CrossRef]

Trillo, S.

S. Trillo, S. Wabnitz, Appl. Phys. Lett. 51, 555 (1987).
[CrossRef]

Wabnitz, S.

S. Trillo, S. Wabnitz, Appl. Phys. Lett. 51, 555 (1987).
[CrossRef]

F. Matera, S. Wabnitz, Opt. Lett. 11, 467 (1986).
[CrossRef] [PubMed]

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[CrossRef]

Wentworth, R. H.

R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
[CrossRef]

Yamashita, E.

N. Kishi, E. Yamashita, H. Kawabata, IEEE J. Lightwave Technol. 7, 902 (1989).
[CrossRef]

Youngquist, R. C.

R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

S. Trillo, S. Wabnitz, Appl. Phys. Lett. 51, 555 (1987).
[CrossRef]

N. Finlayson, G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
[CrossRef]

Electron. Lett. (3)

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 77 (1990).
[CrossRef]

Y. Chen, A. W. Snyder, D. J. Mitchell, Electron. Lett. 26, 76 (1990).
[CrossRef]

R. J. Black, L. Gagnon, R. C. Youngquist, R. H. Wentworth, Electron. Lett. 22, 1113 (1986).
[CrossRef]

IEEE J. Lightwave Technol. (1)

N. Kishi, E. Yamashita, H. Kawabata, IEEE J. Lightwave Technol. 7, 902 (1989).
[CrossRef]

IEEE J. Quantum Electron. (3)

S. M. Jensen, IEEE J. Quantum Electron. QE-18, 1580 (1982).
[CrossRef]

Y. Kimura, M. Nakazawa, S. Seikai, IEEE J. Quantum Electron. QE-23, 1261 (1987).
[CrossRef]

H. A. Haus, L. Molter-Orr, IEEE J. Quantum Electron. QE-19, 840 (1983).
[CrossRef]

J. Appl. Phys. (1)

B. Daino, G. Gregori, S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
[CrossRef]

Opt. Lett. (2)

Other (1)

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

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Figures (4)

Fig. 1
Fig. 1

Multiple-core coupler with identical cores of equal distance d and core radius a.

Fig. 2
Fig. 2

Normalized output power of each fiber as a function of propagation distance z in the linear regime (C1 = C2 = 0) for a (a) three-core, (b) four-core, and (c) five-core coupler.

Fig. 3
Fig. 3

Normalized output power versus normalized input power for a coupler structure of half-beat length with (a) three, (b) four, and (c) five cores.

Fig. 4
Fig. 4

Normalized output power versus normalized input power for a coupler structure of beat length with (a) three, (b) four, and (c) five cores.

Equations (6)

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E ( x , y , z ) = n = 1 N a n ( z ) E ( x , y ) exp [ i ( β z - ω t ) ] + c . c . ,
- i d d z a 1 ( z ) - K 1 a 1 ( z ) + K 2 a 2 ( z ) + [ C 1 a 1 ( z ) 2 + C 2 a 2 ( z ) 2 a 1 ( z ) ,
- i d d z a n ( z ) - K 1 a n ( z ) + K 2 [ a n - 1 ( z ) + a n + 1 ( z ) ] + { C 1 a n ( z ) 2 + C 2 [ a n - 1 ( z ) 2 + a n + 1 ( z ) 2 ] } a n ( z ) ,             n = 2 N - 1 ,
- i d d z a N ( z ) - K 1 a N ( z ) + K 2 a N - 1 ( z ) + [ C 1 a N ( z ) 2 + C 2 a N - 1 ( z ) 2 ] a N ( z ) .
n = 1 N a n 2 = constant ,
n = 1 N C 1 2 K 2 a n 4 n = 1 N - 1 [ ( a n * a n + 1 + a n a n + 1 * ) + C 2 K 2 a n 2 a n + 1 2 ] = constant ,

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