Abstract

We show that a collision between two bright spatial solitons acts as an asymmetric optical Y junction and, in specific cases, as an optical switch for the weak beams that they guide. The output energy of the probe beams in each optical channel can be controlled by adjustment of either the relative direction or the phase of the two colliding solitons or by a change in the wavelength of the probe beams. A physical description of such behavior based on the diffraction of the incident probe beams by a diffraction grating formed by the spatial-soliton collision profile is presented.

© 1993 Optical Society of America

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References

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  1. A. W. Snyder, D. J. Mitchell, L. Poladian, F. Ladouceur, Opt. Lett. 16, 21 (1991).
    [CrossRef] [PubMed]
  2. R. De la Fuente, A. Barthelemy, C. Froehely, Opt. Lett. 16, 793 (1991).
    [CrossRef] [PubMed]
  3. B. Luther-Davies, Y. Xiaoping, Opt. Lett. 17, 496 (1992).
    [CrossRef] [PubMed]
  4. S. A. Akhmanov, V. A. Vysloukh, A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), Chap. 5.
  5. Y. Kodama, A. Hasegawa, Opt. Lett. 16, 208 (1991); M. Shalaby, A. Barthelemy, Opt. Lett. 16, 1472 (1991).
    [CrossRef] [PubMed]
  6. M. Shalaby, A. Barthelemy, Opt. Commun. 94, 341 (1992).
    [CrossRef]
  7. G. E. Torres-Cisneros, J. J. Sánchez-Mondragón, M. Torres-Cisneros, E. Alvarado-Méndez, “Distortionless light-guided beam crossing,” Rev. Mex. Fis. (to be published).
  8. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.
  9. H. Jeffreys, B. S. Jeffreys, Methods of Mathematical Physics (Cambridge U. Press, London, 1978), Chap. 17.

1992 (2)

1991 (3)

Akhmanov, S. A.

S. A. Akhmanov, V. A. Vysloukh, A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), Chap. 5.

Alvarado-Méndez, E.

G. E. Torres-Cisneros, J. J. Sánchez-Mondragón, M. Torres-Cisneros, E. Alvarado-Méndez, “Distortionless light-guided beam crossing,” Rev. Mex. Fis. (to be published).

Barthelemy, A.

Chirkin, A. S.

S. A. Akhmanov, V. A. Vysloukh, A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), Chap. 5.

De la Fuente, R.

Froehely, C.

Hasegawa, A.

Jeffreys, B. S.

H. Jeffreys, B. S. Jeffreys, Methods of Mathematical Physics (Cambridge U. Press, London, 1978), Chap. 17.

Jeffreys, H.

H. Jeffreys, B. S. Jeffreys, Methods of Mathematical Physics (Cambridge U. Press, London, 1978), Chap. 17.

Kodama, Y.

Ladouceur, F.

Love, J. D.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.

Luther-Davies, B.

Mitchell, D. J.

Poladian, L.

Sánchez-Mondragón, J. J.

G. E. Torres-Cisneros, J. J. Sánchez-Mondragón, M. Torres-Cisneros, E. Alvarado-Méndez, “Distortionless light-guided beam crossing,” Rev. Mex. Fis. (to be published).

Shalaby, M.

M. Shalaby, A. Barthelemy, Opt. Commun. 94, 341 (1992).
[CrossRef]

Snyder, A. W.

A. W. Snyder, D. J. Mitchell, L. Poladian, F. Ladouceur, Opt. Lett. 16, 21 (1991).
[CrossRef] [PubMed]

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.

Torres-Cisneros, G. E.

G. E. Torres-Cisneros, J. J. Sánchez-Mondragón, M. Torres-Cisneros, E. Alvarado-Méndez, “Distortionless light-guided beam crossing,” Rev. Mex. Fis. (to be published).

Torres-Cisneros, M.

G. E. Torres-Cisneros, J. J. Sánchez-Mondragón, M. Torres-Cisneros, E. Alvarado-Méndez, “Distortionless light-guided beam crossing,” Rev. Mex. Fis. (to be published).

Vysloukh, V. A.

S. A. Akhmanov, V. A. Vysloukh, A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), Chap. 5.

Xiaoping, Y.

Opt. Commun. (1)

M. Shalaby, A. Barthelemy, Opt. Commun. 94, 341 (1992).
[CrossRef]

Opt. Lett. (4)

Other (4)

S. A. Akhmanov, V. A. Vysloukh, A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992), Chap. 5.

G. E. Torres-Cisneros, J. J. Sánchez-Mondragón, M. Torres-Cisneros, E. Alvarado-Méndez, “Distortionless light-guided beam crossing,” Rev. Mex. Fis. (to be published).

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 268.

H. Jeffreys, B. S. Jeffreys, Methods of Mathematical Physics (Cambridge U. Press, London, 1978), Chap. 17.

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Figures (3)

Fig. 1
Fig. 1

Optical Y junction formed by the collision of two bright spatial solitons: (a) the soliton collision, (b) the behavior followed by the probe beam. The parameters are v = 1.2, rnrk = 1, β = 2, and ϕ = 0.

Fig. 2
Fig. 2

Relative output probe energies channels 1 and 2 after the soliton collision as a function of the collision angle. Other parameters are the same as in Fig. 1.

Fig. 3
Fig. 3

Relative output probe energy in channel 1 as the relative phase between the initial solitons is varied: (a) v = 0.375, (b) v = 0.625, (c) v = 1.25. Other parameters are the same as in Fig. 1.

Equations (7)

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i A 1 Z = - 1 2 2 A 1 X 2 - A 1 2 A 1 ,
i A 2 Z = - 1 2 r n r k 2 A 2 X 2 - β A 1 2 A 2 ,
A 1 ( X , 0 ) = sech ( X + c ) exp [ - i v ( X + c ) + i ϕ ] + sech ( X - c ) exp [ i v ( X - c ) ]
T ( X ) = exp ( - i h Ψ ) = exp [ - i 4 h β sech 2 ( X ) cos 2 ( v X + ϕ / 2 ) ] .
A ˜ d ( k x ) = - exp ( - i h Ψ ) sech ( X ) exp [ - i ( k x - v ) X ] d X .
A ˜ d ( k x ) = l = 0 2 ( B l - D l ) sech { π [ k x + ( 2 l - 3 ) v ] / 2 } ,
A ˜ d ( v ) exp ( - i 4 h β ) [ π v / 8 β ( 1 + v 2 ) ] 1 / 2 .

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