Abstract

All-optical soliton logic operations, facilitated by incoherent interactions of multiple spatial solitons with nonlinear interfaces, are proposed and analyzed. A particlelike model, validated by beam propagation simulations, was developed for calculating the soliton trajectories and was employed for the analysis of the soliton-based logic gates.

© 2005 Optical Society of America

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    [CrossRef] [PubMed]
  38. A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions," Phys. Rev. A 39, 1828-1840 (1989).
    [CrossRef] [PubMed]
  39. D. Anderson and M. Lisak, "Variational approach to incoherent two-soliton interaction," Phys. Scr. 33, 193-196 (1986).
    [CrossRef]
  40. M. Karlsson, D. Anderson, A. Höök, and M. Lisak, "A variational approach to optical soliton collisions," Phys. Scr. 50, 265-270 (1994).
    [CrossRef]
  41. A. Berntson, D. Anderson, and M. Lisak, "Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers," Phys. Scr. 52, 544-553 (1995).
    [CrossRef]
  42. Y. S. Kivshar and M. L. Quiroga-Teixeiro, "Light-beam propagation at planar thin-film nonlinear waveguides," Phys. Rev. A 48, 4750-4757 (1993).
    [CrossRef] [PubMed]
  43. D. De Angelis and S. Wabnitz, "Interactions of orthogonally polarized solitons in optical fibers," Opt. Commun. 125, 186-196 (1996).
    [CrossRef]

2002 (2)

O. V. Kolokoltsev, R. Salas, and V. Vountesmeri, "All-optical phase-independent logic elements based on phase shift induced by coherent soliton collisions," J. Lightwave Technol. 20, 1048-1053 (2002).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

2000 (3)

G. R. Collecutt and P. D. Drummond, "Digital response with femtosecond resolution in an optical AND gate," Opt. Commun. 184, 237-243 (2000).
[CrossRef]

X. Liu, K. Beckwitt, and F. Wise, "Noncollinear generation of optical spatiotemporal solitons and application to ultrafast digital logic," Phys. Rev. E 61, R4772-R4725 (2000).
[CrossRef]

K. Steiglitz, "Time-gated Manakov spatial solitons are computationally universal," Phys. Rev. E 63, 016608 (2000).
[CrossRef]

1999 (4)

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

G. I. Stegman and M. Segev, "Optical spatial solitons and their interactions: universality and diversity," Science 286, 1518-1523 (1999).
[CrossRef]

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

J. Scheuer and M. Orenstein, "Interactions and switching of spatial soliton pairs in the vicinity of a nonlinear interface," Opt. Lett. 24, 1735-1737 (1999).
[CrossRef]

1998 (2)

M. Segev, "Optical spatial solitons," Opt. Quantum Electron. 30, 503-533 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "State transformation of colliding optical soliton and possible application to computation in bulk media," Phys. Rev. E 58, 6752-6758 (1998).
[CrossRef]

1997 (3)

M. H. Jakubowski, K. Steiglitz, and R. Squier, "Information transfer between solitary waves in the saturable Schrödinger equation," Phys. Rev. E 56, 7267-7272 (1997).
[CrossRef]

R. Radhakrishman, M. Lakshmanan, and J. Hietarinta, "Inelastic collision and switching of coupled bright solitons in optical fibers," Phys. Rev. E 56, 2213-2216 (1997).
[CrossRef]

L. Lefort and A. Barthelemy, "All-optical demultiplexing of a signal using collision and waveguiding of spatial solitons," IEEE Photonics Technol. Lett. 9, 1364-1366 (1997).
[CrossRef]

1996 (3)

Y. Oh, J. W. Haus, and R. L. Fork, "Soliton-repulsion logic gate," Opt. Lett. 21, 315-317 (1996).
[CrossRef] [PubMed]

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

D. De Angelis and S. Wabnitz, "Interactions of orthogonally polarized solitons in optical fibers," Opt. Commun. 125, 186-196 (1996).
[CrossRef]

1995 (3)

A. Berntson, D. Anderson, and M. Lisak, "Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers," Phys. Scr. 52, 544-553 (1995).
[CrossRef]

G. R. Williams, M. Vaziri, K. H. Ahn, B. C. Barnett, and M. N. Islam, "Soliton logic gate using low-birefringence fiber in a nonlinear loop mirror," Opt. Lett. 20, 1671-1673 (1995).
[CrossRef] [PubMed]

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).
[CrossRef] [PubMed]

1994 (3)

1993 (3)

Y. S. Kivshar and M. L. Quiroga-Teixeiro, "Light-beam propagation at planar thin-film nonlinear waveguides," Phys. Rev. A 48, 4750-4757 (1993).
[CrossRef] [PubMed]

S. R. Friberg, "Demonstration of colliding-soliton all-optical switching," Appl. Phys. Lett. 63, 429-431 (1993).
[CrossRef]

Q. Wang, P. K. A. Wai, C. J. Chen, and C. R. Menyuk, "Numerical modeling of soliton dragging logic gates," J. Opt. Soc. Am. B 10, 2030-2039 (1993).
[CrossRef]

1992 (2)

C. E. Soccolich, M. W. Chbat, M. N. Islam, and P. R. Prucnal, "Cascade of ultrafast soliton-dragging and trapping logic gates," IEEE Photonics Technol. Lett. 4, 1043-1046 (1992).
[CrossRef]

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

1991 (3)

1990 (3)

1989 (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface," Phys. Rev. A 39, 1809-1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions," Phys. Rev. A 39, 1828-1840 (1989).
[CrossRef] [PubMed]

1987 (1)

1986 (1)

D. Anderson and M. Lisak, "Variational approach to incoherent two-soliton interaction," Phys. Scr. 33, 193-196 (1986).
[CrossRef]

1983 (1)

1977 (1)

V. I. Karpman and E. M. Maslov, "Perturbation theory for solitons," Sov. Phys. JETP 48, 281-291 (1977).

1974 (1)

S. V. Manakov, "On the theory of two-dimensional stationary self focusing of electromagnetic waves," Sov. Phys. JETP 38, 248-253 (1974).

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface," Phys. Rev. A 39, 1809-1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions," Phys. Rev. A 39, 1828-1840 (1989).
[CrossRef] [PubMed]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1989).

Ahn, K. H.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

G. R. Williams, M. Vaziri, K. H. Ahn, B. C. Barnett, and M. N. Islam, "Soliton logic gate using low-birefringence fiber in a nonlinear loop mirror," Opt. Lett. 20, 1671-1673 (1995).
[CrossRef] [PubMed]

Anastassiou, C.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Anderson, D.

A. Berntson, D. Anderson, and M. Lisak, "Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers," Phys. Scr. 52, 544-553 (1995).
[CrossRef]

M. Karlsson, D. Anderson, A. Höök, and M. Lisak, "A variational approach to optical soliton collisions," Phys. Scr. 50, 265-270 (1994).
[CrossRef]

D. Anderson and M. Lisak, "Variational approach to incoherent two-soliton interaction," Phys. Scr. 33, 193-196 (1986).
[CrossRef]

Assanto, G.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Barnett, B. C.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

G. R. Williams, M. Vaziri, K. H. Ahn, B. C. Barnett, and M. N. Islam, "Soliton logic gate using low-birefringence fiber in a nonlinear loop mirror," Opt. Lett. 20, 1671-1673 (1995).
[CrossRef] [PubMed]

Barthelemy, A.

L. Lefort and A. Barthelemy, "All-optical demultiplexing of a signal using collision and waveguiding of spatial solitons," IEEE Photonics Technol. Lett. 9, 1364-1366 (1997).
[CrossRef]

Beckwitt, K.

X. Liu, K. Beckwitt, and F. Wise, "Noncollinear generation of optical spatiotemporal solitons and application to ultrafast digital logic," Phys. Rev. E 61, R4772-R4725 (2000).
[CrossRef]

Berntson, A.

A. Berntson, D. Anderson, and M. Lisak, "Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers," Phys. Scr. 52, 544-553 (1995).
[CrossRef]

Bertolotti, M.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

Blair, S.

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).
[CrossRef] [PubMed]

S. Blair, K. Wagner, and R. McLeod, "Asymmetric spatial soliton dragging," Opt. Lett. 19, 1943-1945 (1994).
[CrossRef] [PubMed]

Cao, X. D.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

Carrera, A.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

Chbat, M. W.

C. E. Soccolich, M. W. Chbat, M. N. Islam, and P. R. Prucnal, "Cascade of ultrafast soliton-dragging and trapping logic gates," IEEE Photonics Technol. Lett. 4, 1043-1046 (1992).
[CrossRef]

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

Chen, C. J.

Chi, S.

Chiaretti, G.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

Chowdhury, D. Q.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

Collecutt, G. R.

G. R. Collecutt and P. D. Drummond, "Digital response with femtosecond resolution in an optical AND gate," Opt. Commun. 184, 237-243 (2000).
[CrossRef]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

D'Andrea, A.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

De Angelis, D.

D. De Angelis and S. Wabnitz, "Interactions of orthogonally polarized solitons in optical fibers," Opt. Commun. 125, 186-196 (1996).
[CrossRef]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Doran, N. J.

Drummond, P. D.

G. R. Collecutt and P. D. Drummond, "Digital response with femtosecond resolution in an optical AND gate," Opt. Commun. 184, 237-243 (2000).
[CrossRef]

Fazio, E.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

Fork, R. L.

Friberg, S. R.

S. R. Friberg, "Demonstration of colliding-soliton all-optical switching," Appl. Phys. Lett. 63, 429-431 (1993).
[CrossRef]

Giordmaine, J. A.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Gordon, J. P.

Haus, H. A.

Haus, J. W.

Hietarinta, J.

R. Radhakrishman, M. Lakshmanan, and J. Hietarinta, "Inelastic collision and switching of coupled bright solitons in optical fibers," Phys. Rev. E 56, 2213-2216 (1997).
[CrossRef]

Hill, K. O.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

Hong, B.

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

Höök, A.

M. Karlsson, D. Anderson, A. Höök, and M. Lisak, "A variational approach to optical soliton collisions," Phys. Scr. 50, 265-270 (1994).
[CrossRef]

Islam, M. N.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

G. R. Williams, M. Vaziri, K. H. Ahn, B. C. Barnett, and M. N. Islam, "Soliton logic gate using low-birefringence fiber in a nonlinear loop mirror," Opt. Lett. 20, 1671-1673 (1995).
[CrossRef] [PubMed]

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

C. E. Soccolich, M. W. Chbat, M. N. Islam, and P. R. Prucnal, "Cascade of ultrafast soliton-dragging and trapping logic gates," IEEE Photonics Technol. Lett. 4, 1043-1046 (1992).
[CrossRef]

M. N. Islam, C. R. Menyuk, C. J. Chen, and C. E. Soccolich, "Chirp mechanisms in soliton-dragging logic gates," Opt. Lett. 18, 214-216 (1991).
[CrossRef]

M. N. Islam and C. E. Soccolich, "Billiard-ball soliton interaction gates," Opt. Lett. 16, 1490-1492 (1991).
[CrossRef] [PubMed]

M. N. Islam, C. E. Soccolich, C. J. Chen, K. S. Kim, J. R. Simpson, and U. C. Paek, "All-optical inverter with one picojoule switching energy," Electron. Lett. 27, 130-132 (1991).
[CrossRef]

M. N. Islam, "All-optical cascadable NOR gate with gain," Opt. Lett. 15, 417-419 (1990).
[CrossRef] [PubMed]

Jakubowski, M. H.

M. H. Jakubowski, K. Steiglitz, and R. Squier, "State transformation of colliding optical soliton and possible application to computation in bulk media," Phys. Rev. E 58, 6752-6758 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "Information transfer between solitary waves in the saturable Schrödinger equation," Phys. Rev. E 56, 7267-7272 (1997).
[CrossRef]

Karlsson, M.

M. Karlsson, D. Anderson, A. Höök, and M. Lisak, "A variational approach to optical soliton collisions," Phys. Scr. 50, 265-270 (1994).
[CrossRef]

Karpman, V. I.

V. I. Karpman and E. M. Maslov, "Perturbation theory for solitons," Sov. Phys. JETP 48, 281-291 (1977).

Kim, K. S.

M. N. Islam, C. E. Soccolich, C. J. Chen, K. S. Kim, J. R. Simpson, and U. C. Paek, "All-optical inverter with one picojoule switching energy," Electron. Lett. 27, 130-132 (1991).
[CrossRef]

Kivshar, Y. S.

Y. S. Kivshar and M. L. Quiroga-Teixeiro, "Light-beam propagation at planar thin-film nonlinear waveguides," Phys. Rev. A 48, 4750-4757 (1993).
[CrossRef] [PubMed]

Kolokoltsev, O. V.

Lai, Y.

Lakshmanan, M.

R. Radhakrishman, M. Lakshmanan, and J. Hietarinta, "Inelastic collision and switching of coupled bright solitons in optical fibers," Phys. Rev. E 56, 2213-2216 (1997).
[CrossRef]

Lan, S.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Lefort, L.

L. Lefort and A. Barthelemy, "All-optical demultiplexing of a signal using collision and waveguiding of spatial solitons," IEEE Photonics Technol. Lett. 9, 1364-1366 (1997).
[CrossRef]

Lisak, M.

A. Berntson, D. Anderson, and M. Lisak, "Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers," Phys. Scr. 52, 544-553 (1995).
[CrossRef]

M. Karlsson, D. Anderson, A. Höök, and M. Lisak, "A variational approach to optical soliton collisions," Phys. Scr. 50, 265-270 (1994).
[CrossRef]

D. Anderson and M. Lisak, "Variational approach to incoherent two-soliton interaction," Phys. Scr. 33, 193-196 (1986).
[CrossRef]

Liu, X.

X. Liu, K. Beckwitt, and F. Wise, "Noncollinear generation of optical spatiotemporal solitons and application to ultrafast digital logic," Phys. Rev. E 61, R4772-R4725 (2000).
[CrossRef]

Malo, B.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

Manakov, S. V.

S. V. Manakov, "On the theory of two-dimensional stationary self focusing of electromagnetic waves," Sov. Phys. JETP 38, 248-253 (1974).

Martin, J.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Maslov, E. M.

V. I. Karpman and E. M. Maslov, "Perturbation theory for solitons," Sov. Phys. JETP 48, 281-291 (1977).

McLeod, R.

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).
[CrossRef] [PubMed]

S. Blair, K. Wagner, and R. McLeod, "Asymmetric spatial soliton dragging," Opt. Lett. 19, 1943-1945 (1994).
[CrossRef] [PubMed]

Menyuk, C. R.

Mitchell, M.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions," Phys. Rev. A 39, 1828-1840 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface," Phys. Rev. A 39, 1809-1827 (1989).
[CrossRef] [PubMed]

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface," Phys. Rev. A 39, 1809-1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions," Phys. Rev. A 39, 1828-1840 (1989).
[CrossRef] [PubMed]

Oh, Y.

Orenstein, M.

Paek, U. C.

M. N. Islam, C. E. Soccolich, C. J. Chen, K. S. Kim, J. R. Simpson, and U. C. Paek, "All-optical inverter with one picojoule switching energy," Electron. Lett. 27, 130-132 (1991).
[CrossRef]

Peccianti, M.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Prucnal, P. R.

C. E. Soccolich, M. W. Chbat, M. N. Islam, and P. R. Prucnal, "Cascade of ultrafast soliton-dragging and trapping logic gates," IEEE Photonics Technol. Lett. 4, 1043-1046 (1992).
[CrossRef]

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

Quiroga-Teixeiro, M. L.

Y. S. Kivshar and M. L. Quiroga-Teixeiro, "Light-beam propagation at planar thin-film nonlinear waveguides," Phys. Rev. A 48, 4750-4757 (1993).
[CrossRef] [PubMed]

Radhakrishman, R.

R. Radhakrishman, M. Lakshmanan, and J. Hietarinta, "Inelastic collision and switching of coupled bright solitons in optical fibers," Phys. Rev. E 56, 2213-2216 (1997).
[CrossRef]

Salas, R.

Sanvito, N. G.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

Saxena, S.

Scheuer, J.

Segev, M.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

G. I. Stegman and M. Segev, "Optical spatial solitons and their interactions: universality and diversity," Science 286, 1518-1523 (1999).
[CrossRef]

M. Segev, "Optical spatial solitons," Opt. Quantum Electron. 30, 503-533 (1998).
[CrossRef]

Shi, T. T.

Shih, M.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Simpson, J. R.

M. N. Islam, C. E. Soccolich, C. J. Chen, K. S. Kim, J. R. Simpson, and U. C. Paek, "All-optical inverter with one picojoule switching energy," Electron. Lett. 27, 130-132 (1991).
[CrossRef]

Soccolich, C. E.

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

C. E. Soccolich, M. W. Chbat, M. N. Islam, and P. R. Prucnal, "Cascade of ultrafast soliton-dragging and trapping logic gates," IEEE Photonics Technol. Lett. 4, 1043-1046 (1992).
[CrossRef]

M. N. Islam, C. R. Menyuk, C. J. Chen, and C. E. Soccolich, "Chirp mechanisms in soliton-dragging logic gates," Opt. Lett. 18, 214-216 (1991).
[CrossRef]

M. N. Islam, C. E. Soccolich, C. J. Chen, K. S. Kim, J. R. Simpson, and U. C. Paek, "All-optical inverter with one picojoule switching energy," Electron. Lett. 27, 130-132 (1991).
[CrossRef]

M. N. Islam and C. E. Soccolich, "Billiard-ball soliton interaction gates," Opt. Lett. 16, 1490-1492 (1991).
[CrossRef] [PubMed]

Squier, R.

M. H. Jakubowski, K. Steiglitz, and R. Squier, "State transformation of colliding optical soliton and possible application to computation in bulk media," Phys. Rev. E 58, 6752-6758 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "Information transfer between solitary waves in the saturable Schrödinger equation," Phys. Rev. E 56, 7267-7272 (1997).
[CrossRef]

Stegman, G. I.

G. I. Stegman and M. Segev, "Optical spatial solitons and their interactions: universality and diversity," Science 286, 1518-1523 (1999).
[CrossRef]

Steiglitz, K.

K. Steiglitz, "Time-gated Manakov spatial solitons are computationally universal," Phys. Rev. E 63, 016608 (2000).
[CrossRef]

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "State transformation of colliding optical soliton and possible application to computation in bulk media," Phys. Rev. E 58, 6752-6758 (1998).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "Information transfer between solitary waves in the saturable Schrödinger equation," Phys. Rev. E 56, 7267-7272 (1997).
[CrossRef]

Umeton, G.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Vaziri, M.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

G. R. Williams, M. Vaziri, K. H. Ahn, B. C. Barnett, and M. N. Islam, "Soliton logic gate using low-birefringence fiber in a nonlinear loop mirror," Opt. Lett. 20, 1671-1673 (1995).
[CrossRef] [PubMed]

Vountesmeri, V.

Wabnitz, S.

D. De Angelis and S. Wabnitz, "Interactions of orthogonally polarized solitons in optical fibers," Opt. Commun. 125, 186-196 (1996).
[CrossRef]

Wagner, K.

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).
[CrossRef] [PubMed]

S. Blair, K. Wagner, and R. McLeod, "Asymmetric spatial soliton dragging," Opt. Lett. 19, 1943-1945 (1994).
[CrossRef] [PubMed]

Wai, P. K. A.

Wang, Q.

Williams, G. R.

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

G. R. Williams, M. Vaziri, K. H. Ahn, B. C. Barnett, and M. N. Islam, "Soliton logic gate using low-birefringence fiber in a nonlinear loop mirror," Opt. Lett. 20, 1671-1673 (1995).
[CrossRef] [PubMed]

Wise, F.

X. Liu, K. Beckwitt, and F. Wise, "Noncollinear generation of optical spatiotemporal solitons and application to ultrafast digital logic," Phys. Rev. E 61, R4772-R4725 (2000).
[CrossRef]

Wood, D.

Zitelli, M.

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

Appl. Phys. Lett. (2)

S. R. Friberg, "Demonstration of colliding-soliton all-optical switching," Appl. Phys. Lett. 63, 429-431 (1993).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and G. Umeton, "All-optical switching and logic gating with spatial solitons in liquid crystal," Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Electron. Lett. (1)

M. N. Islam, C. E. Soccolich, C. J. Chen, K. S. Kim, J. R. Simpson, and U. C. Paek, "All-optical inverter with one picojoule switching energy," Electron. Lett. 27, 130-132 (1991).
[CrossRef]

IEEE Photonics Technol. Lett. (2)

L. Lefort and A. Barthelemy, "All-optical demultiplexing of a signal using collision and waveguiding of spatial solitons," IEEE Photonics Technol. Lett. 9, 1364-1366 (1997).
[CrossRef]

C. E. Soccolich, M. W. Chbat, M. N. Islam, and P. R. Prucnal, "Cascade of ultrafast soliton-dragging and trapping logic gates," IEEE Photonics Technol. Lett. 4, 1043-1046 (1992).
[CrossRef]

J. Lightwave Technol. (3)

M. W. Chbat, B. Hong, M. N. Islam, C. E. Soccolich, and P. R. Prucnal, "Ultrafast soliton-trapping AND gate," J. Lightwave Technol. 10, 2011-2016 (1992).
[CrossRef]

O. V. Kolokoltsev, R. Salas, and V. Vountesmeri, "All-optical phase-independent logic elements based on phase shift induced by coherent soliton collisions," J. Lightwave Technol. 20, 1048-1053 (2002).
[CrossRef]

K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, "Experimental demonstration of low-latency fiber soliton logic gate," J. Lightwave Technol. 14, 1768-1775 (1996).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Commun. (3)

M. Bertolotti, A. D'Andrea, E. Fazio, M. Zitelli, A. Carrera, G. Chiaretti, and N. G. Sanvito, "Experimental observation of spatial soliton dragging in a planar glass waveguides," Opt. Commun. 168, 399-403 (1999).
[CrossRef]

G. R. Collecutt and P. D. Drummond, "Digital response with femtosecond resolution in an optical AND gate," Opt. Commun. 184, 237-243 (2000).
[CrossRef]

D. De Angelis and S. Wabnitz, "Interactions of orthogonally polarized solitons in optical fibers," Opt. Commun. 125, 186-196 (1996).
[CrossRef]

Opt. Lett. (10)

Opt. Quantum Electron. (1)

M. Segev, "Optical spatial solitons," Opt. Quantum Electron. 30, 503-533 (1998).
[CrossRef]

Phys. Rev. A (4)

Y. S. Kivshar and M. L. Quiroga-Teixeiro, "Light-beam propagation at planar thin-film nonlinear waveguides," Phys. Rev. A 48, 4750-4757 (1993).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface," Phys. Rev. A 39, 1809-1827 (1989).
[CrossRef] [PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, "Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions," Phys. Rev. A 39, 1828-1840 (1989).
[CrossRef] [PubMed]

R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional optical soliton dragging logic," Phys. Rev. A 52, 3254-3278 (1995).
[CrossRef] [PubMed]

Phys. Rev. E (5)

X. Liu, K. Beckwitt, and F. Wise, "Noncollinear generation of optical spatiotemporal solitons and application to ultrafast digital logic," Phys. Rev. E 61, R4772-R4725 (2000).
[CrossRef]

R. Radhakrishman, M. Lakshmanan, and J. Hietarinta, "Inelastic collision and switching of coupled bright solitons in optical fibers," Phys. Rev. E 56, 2213-2216 (1997).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "Information transfer between solitary waves in the saturable Schrödinger equation," Phys. Rev. E 56, 7267-7272 (1997).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, "State transformation of colliding optical soliton and possible application to computation in bulk media," Phys. Rev. E 58, 6752-6758 (1998).
[CrossRef]

K. Steiglitz, "Time-gated Manakov spatial solitons are computationally universal," Phys. Rev. E 63, 016608 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. Shih, S. Lan, and J. Martin, "Energy-exchange interactions between colliding vector solitons," Phys. Rev. Lett. 83, 2332-2335 (1999).
[CrossRef]

Phys. Scr. (3)

D. Anderson and M. Lisak, "Variational approach to incoherent two-soliton interaction," Phys. Scr. 33, 193-196 (1986).
[CrossRef]

M. Karlsson, D. Anderson, A. Höök, and M. Lisak, "A variational approach to optical soliton collisions," Phys. Scr. 50, 265-270 (1994).
[CrossRef]

A. Berntson, D. Anderson, and M. Lisak, "Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers," Phys. Scr. 52, 544-553 (1995).
[CrossRef]

Science (1)

G. I. Stegman and M. Segev, "Optical spatial solitons and their interactions: universality and diversity," Science 286, 1518-1523 (1999).
[CrossRef]

Sov. Phys. JETP (2)

S. V. Manakov, "On the theory of two-dimensional stationary self focusing of electromagnetic waves," Sov. Phys. JETP 38, 248-253 (1974).

V. I. Karpman and E. M. Maslov, "Perturbation theory for solitons," Sov. Phys. JETP 48, 281-291 (1977).

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1989).

T.K.Gustafson and P.W.Smith, eds., Photonic Switching (Springer-Verlag, Berlin, 1988).
[CrossRef]

Cited By

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Figures (12)

Fig. 1
Fig. 1

Soliton interactions in a layered Kerr medium.

Fig. 2
Fig. 2

All-optical soliton switch. (A) Control soliton turned off; the signal soliton is reflected from the interface. (B) Control soliton turned on; the signal soliton is transmitted through the interface. column (I), BPM simulation; (II), particlelike model. n 01 = 1.45 , n 02 = 1.449 , n 21 = 1 16 , n 22 = 1 16 , soliton velocity 0.1.

Fig. 3
Fig. 3

Two incoherent solitons interact with an interface with large initial separation: (I) BPM, (II) particlelike model. The structure and soliton parameters are the same as in Fig. 2.

Fig. 4
Fig. 4

All-optical soliton ANDOR gate.

Fig. 5
Fig. 5

Operation of ANDOR gate: (I) A = 1 , B = 0 ; (II) A = 0 , B = 1 ; (III) A = 1 , B = 1 . (A) BPM simulations, (B) Particlelike model. n 01 = 1.45 , n 02 = 1.449 , n 21 = 1 16 , n 22 = 1 16 .

Fig. 6
Fig. 6

Induced potential of an interface defined by n 01 = 1.5 , n 21 = 0.0455 , n 02 = 1.45 , n 22 = 0.06 .

Fig. 7
Fig. 7

BPM simulation of a single-interface soliton inverter for “1” input.

Fig. 8
Fig. 8

Double-interface NOT gate.

Fig. 9
Fig. 9

Double-interface inverter with “1” input. (I) BPM simulations. (II) Particlelike model. The structure and soliton parameters are the same as in Fig. 5.

Fig. 10
Fig. 10

Gate soliton velocity as a function of the input soliton velocity for various layer widths.

Fig. 11
Fig. 11

Schematic of an all-optical soliton NOR gate.

Fig. 12
Fig. 12

BPM simulation of a three-input soliton NOR gate. Media parameters are as in Fig. 5.

Equations (12)

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

2 i β k 0 E ( z , x ) z + 2 E ( z , x ) x 2 k 0 2 { β 2 [ n 0 2 ( x ) + 2 n 0 ( x ) n 2 ( x ) E ( z , x ) 2 ] } E ( z , x ) = 0 ,
i A z + 2 A x 2 + 2 A A 2 = W A ;
W = Δ j 2 ( α j 1 ) A 2 , x L j ,
A ( x , z ) = A 0 sec h { A 0 [ x x ¯ ( z ) ] } exp [ i v x 2 + φ ( z ) ] ,
i A m z + 2 A m x 2 + 2 A m A m 2 = ( W 2 k = 1 n k m A k 2 ) A m , m = 1 n ,
d 2 x ¯ m d z 2 = 2 p m 1 R m x A m 2 d x ,
f = 8 A 0 3 sinh 2 ( A 0 Δ x ) { A 0 Δ x [ 2 coth 2 ( A 0 Δ x ) + sinh 2 ( A 0 Δ x ) ] 3 coth ( A 0 Δ x ) } ,
d 2 x ¯ m d z 2 = 2 p m 1 W x A m 2 d x + k = 1 n k m f m k ,
Δ U = 2 3 A 0 2 ( 1 α ) 2 α , where α = n 01 n 21 n 02 n 22 .
( 1 n 0 in n 2 in n 0 out n 2 out ) ( n 0 in 2 n 0 out 2 ) < 0 , ( n 0 in 2 n 0 out 2 ) > 0 ,
Δ = ln ( v 4 ) .
U min = [ Δ + A 0 2 ( 1 α ) ] tanh ( A 0 L 2 ) 2 3 A 0 2 ( 1 α ) tanh 3 ( A 0 L 2 ) ,

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