Optical and Quantum Electronics

, Volume 28, Issue 12, pp 1691–1740 | Cite as

χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons

  • G. I. Stegeman
  • D. J. Hagan
  • L. Torner
Review

Abstract

Cascading is the process by which the exchange of energy between optical beams interacting via second order nonlinearities (χ(2)) leads to various effects such as nonlinear phase shifts, the generation of new beams, all-optical transistor action, the formation of soliton-like (solitary) waves, etc. Here we review the fundamentals of the processes and discuss experimental verification of the effects and various related applications.

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References

  1. 1.
    J. A.ARMSTRONG, N.BLOEMBERGEN, J.DUCUING and P. S.PERSHAN,Phys. Rev. 127 (1962) 1918–39.Google Scholar
  2. 2.
    Y. R.SHEN,Principles of Nonlinear Optics (Wiley, New York, 1984).Google Scholar
  3. 3.
    F. A.HOPF and G. I.ROSE,Applied Classical Electrodynamics, Vol. 2: Nonlinear Optics (Wiley, New York, 1986).Google Scholar
  4. 4.
    R. W.BOYD,Nonlinear Optics (Academic Press, Boston, 1992).Google Scholar
  5. 5.
    P. N.PRASAD and D. J.WILLIAMS,Introduction to Nonlinear Optical Effects in Molecules and Polymers (Wiley, New York, 1991) Chapters 6 and 9.Google Scholar
  6. 6.
    L. A.OSTROVSKII,JETP Lett. 5 (1967) 272–5.Google Scholar
  7. 7.
    J. P.COFFINET and F.DEMARTINI,Phys. Rev. Lett. 22 (1969) 60–4.Google Scholar
  8. 8.
    CHR.FLYTZANIS and N.BLOEMBERGEN,Quant. Electron. 4 (1976) 271–300; CHR. FLYTZANIS, inQuantum Electronics, edited by H. Rabin and C. L. Tang (Academic Press, New York, 1975), Vol. 1, Part A.Google Scholar
  9. 9.
    Y. N.KARAMZIN and A. P.SUKHORUKOV,JETP Lett. 20 (1974) 339–42.Google Scholar
  10. 10.
    T. K.GUSTAFSON, J.-P. E.TARAN, P. L.KELLEY and R. Y.CHIAO,Opt. Commun. 2 (1970) 17–21.Google Scholar
  11. 11.
    D. N.KLYSHKO and B. F.POLKOVNIHOV,Sov. J. Quant. Electron. 3 (1972) 324–6.Google Scholar
  12. 12.
    YU. N.KARAMZIN and A. P.SUKHORUKOV,Zh. Eksp. Teor. Phys. 68 (1975) 834–40 (Sov. Phys.-JETP 41 (1976) 414–20).Google Scholar
  13. 13.
    K.JAIN and G. W.PRATTJR.,Appl. Phys. Lett. 28 (1976) 719–21.Google Scholar
  14. 14.
    R.NAKACH and H.WILHELMSSON,Phys. Rev. A 14 (1976) 451–6.Google Scholar
  15. 15.
    N. B.BARANOVA and B. YA.ZEL'DOVICH,Sov. Phys. Dokl. 27 (1982) 222–3;Dokl. Akad. Nauk SSSR 263 (1982) 325–7.Google Scholar
  16. 16.
    J.-M. R.THOMAS and J.-P. E.TARAN,Opt. Commun. 4 (1972) 329–34.Google Scholar
  17. 17.
    R. C.ECKARDT and J.REINTJES,IEEE J. Quant. Electron. 20 (1984) 1178–87.Google Scholar
  18. 18.
    J. T.MANASSAH,J. Opt. Soc. Am B 4 (1987) 1235–40.Google Scholar
  19. 19.
    H. J.BAKKER, P. C. M.PLANKEN, L.KUIPERS and A.LAGENDIJK,Phys. Rev. A 42 (1990) 4085–101.Google Scholar
  20. 20.
    E.YABLONOVITCH, C.FLYTZANIS and N.BLOEMBERGEN,Phys. Rev. Lett. 29 (1972) 865–8.Google Scholar
  21. 21.
    S. A.AKHMANOV, A. N.DUBOVIK, S. M.SALTIEL, I. V.TOMOV and V. G.TUNKIN,JETP Lett. 20 (1974) 117–28;Zh. ETF Pis. Red. 20 (1974) 264–8.Google Scholar
  22. 22.
    S. A.AKHMANOV, L. B.MEISNER, S. T.PARINOV, S. M.SALTIEL, I. V.TOMOV and V. G.TUNKIN,Sov. Phys. JETP 46 (1977) 898–907;Zh. Eksp. Teor. Fiz. 73 (1977) 1710–28.Google Scholar
  23. 23.
    M.ZGONIK and P.GUNTER,Ferroelectrics 126 (1992) 33–8.Google Scholar
  24. 24.
    G. R.MEREDITH,Phys. Rev. B 24 (1981) 5522–32.Google Scholar
  25. 25.
    N. R.BELASHENKOV, S. V.GAGARSKII and M. V.INOCHKIN,Opt. Spectrosc. 66 (1989) 806–808.Google Scholar
  26. 26.
    R.DESALVO, D. J.HAGAN, M.SHEIK-BAHAE, G.STEGEMAN and E. W.VANSTRYLAND,Opt. Lett. 17 (1992) 28–30.Google Scholar
  27. 27.
    G. I.STEGEMAN and E. M.WRIGHT,J. Optical and Quant. Electron. 22 (1990) 95–122.Google Scholar
  28. 28.
    I.LEDOUX, C.LEPERS, A.PÉRIGAUD, J.BADAN and J.ZYSS,Opt. Commun. 80 (1990) 149–54.Google Scholar
  29. 29.
    S. R.MARDER, J. W.PERRY and C. R.YAKYMYSHYN,Chem. Mater. 6 (1994) 1137–47.Google Scholar
  30. 30.
    CH.BOSSHARD, K.SUTTER, R.SCHLESSER and P.GUNTER,J. Opt. Soc. Am. B 10 (1993) 867–85.Google Scholar
  31. 31.
    M. M.FEJER, G. A.MAGEL, D. H.JUNDT and R. L.BYER,IEEE, J. Quant. Electron. 28 (1992) 2631–54.Google Scholar
  32. 32.
    K. A.STANKOV and J.JETHWA,Opt. Commun. 66 (1988) 41–6.Google Scholar
  33. 33.
    A.CERULLO, S.DESILVESTRI, A.MONGUZZI, D.SEGALA and V.MAGNI,Opt. Lett. 20 (1995) 746–8.Google Scholar
  34. 34.
    J. S.AITCHISON, A. M.WEINER, Y.SILBERBERG, M. K.OLIVER, J. L.JACKEL, D. E. A.LAIRD, E. M.VOGEL and P. W. E.SMITH,Opt. Lett. 15 (1990) 471–3.Google Scholar
  35. 35.
    W. E.TORRUELLAS, Z.WANG, D. J.HAGAN, E. W.VANSTRYLAND, G. I.STEGEMAN, L.TORNER and C. R.MENYUK,Phys. Rev. Lett. 74 (1995) 5036–9.Google Scholar
  36. 36.
    G. C.DURREEJR., J. L.SHULTZ, G. J.SALAMO, M.SEGEV, A.YARIV, B.CROSIGNANI, P.DIPORTO, E. J.SHARP and R. R.NEURGAONKAR,Phys. Rev. Lett. 71 (1993) 533–6.Google Scholar
  37. 37.
    J. U.KANG, G. I.STEGEMAN, J. S.AITCHISON and N.AKHMEDIEV,Phys. Rev. Lett. 76 (1996) 3699–702.Google Scholar
  38. 38.
    J. S. AITCHISON, J. U. KANG, G. I. STEGEMAN, N. N. AKHMEDIEV and E. A. OSTROVSKAYA, Observation of vector spatial solitons, unpublished.Google Scholar
  39. 39.
    G. I.STEGEMAN, R.SCHIEK, L.TORNER, W.TORRUELLAS, Y.BAEK, D.BABOIU, Z.WANG, E.VANSTRYLAND, D.HAGAN and G.ASSANTO, inNovel Optical Materials and Applications, edited by I. C.Khoo and F.Simoni (Wiley Interscience, New York, 1995), p. 49.Google Scholar
  40. 40.
    Ch.BOSSHARD,Adv. Mater. 8 (1996) 385–397.Google Scholar
  41. 41.
    G. I.STEGEMAN, M.SHEIK-BAHAE, E. W.VANSTRYL and G.ASSANTO,Opt. Lett. 18 (1993) 13–15.Google Scholar
  42. 42.
    P.PLISZKA and P. P.BANERJEE,J. Modern Optics 40 (1993) 1909–16.Google Scholar
  43. 43.
    R.SCHIEK,J. Opt. Soc. Am. B 10 (1993) 1848–1854.Google Scholar
  44. 44.
    L.KADOR,Appl. Phys. Lett. 66 (1995) 2938–9.Google Scholar
  45. 45.
    B. F.LEVINE, C. G.BETHEA, C. D.THURMOND, R. T.LYNCH and J. L.BERNSTEIN,J. Appl. Phys. 50 (1979) 2523–7.Google Scholar
  46. 46.
    B.LAWRENCE, M.CHA, J. U.KANG, W.TORRUELLAS, G. I.STEGEMAN, G.BAKER, J.METH and S.ETEMAD,Electron. Lett. 30 (1994) 447–8.Google Scholar
  47. 47.
    S.TRILLO, S.WABNITZ, R.CHISARI and G.CAPPELLINI,Opt. Lett. 17 (1992) 637–9.Google Scholar
  48. 48.
    G.ASSANTO, G. I.STEGEMAN, M.SHEIK-BAHAE and E. W.VANSTRYLAND,Appl. Phys. Lett. 62 (1993) 1323–5.Google Scholar
  49. 49.
    D. J.HAGAN, M.SHEIK-BAHAE, Z.WANG, G.STEGEMAN, E. W.VANSTRYLAND and G.ASSANTO,Opt. Lett. 19 (1994) 1305–7.Google Scholar
  50. 50.
    P. St. J.RUSSELL,El. Lett. 29 (1993) 1228–9; P. St. J. RUSSELL,IEEE J. Quant. Electron. 27 (1991) 830–5.Google Scholar
  51. 51.
    G.ASSANTO, G. I.STEGEMAN, M.SHEIK-BAHAE and E. W.VANSTRYLAND,IEEE J. Quant. Electron. 31 (1995) 673–81.Google Scholar
  52. 52.
    L.LEFORT and A.BARTHELEMY,Opt. Commun. 119 (1995) 163–6.Google Scholar
  53. 53.
    A. E.KAPLAN,Opt. Lett. 18 (1993) 1223–5.Google Scholar
  54. 54.
    S.TRILLO and P.FERRO,Opt. Lett. 20 (1995) 438–40.Google Scholar
  55. 55.
    D.HUTCHINGS, J. S.AITCHISON and C. N.IRONSIDE,Opt. Lett. 18 (1993) 793–5.Google Scholar
  56. 56.
    A. L.BELOSTOTSKY, A. S.LEONOV and A. V.MELESHKO,Opt. Lett. 19 (1994) 856–8.Google Scholar
  57. 57.
    G.ASSANTO, I.TORELLI and S.TRILLO,Opt. Lett. 19 (1994) 170–2.Google Scholar
  58. 58.
    G.ASSANTO,Opt. Lett. 20 (1995) 1595–7.Google Scholar
  59. 59.
    G.ASSANTO and I.TORELLI,Opt. Commun. 119 (1995) 143–8.Google Scholar
  60. 60.
    A.KOBYAKOV, U.PESCHEL, R.MUSCHALL, G.ASSANTO, V. P.TORCHIGIN and F.LEDERER,Opt. Lett. 20 (1995) 1686–8.Google Scholar
  61. 61.
    A.KOBYAKOV, U.PESCHEL and F.LEDERER,Opt. Commun. 124 (1996) 184–94.Google Scholar
  62. 62.
    G.ASSANTO, I.TORELLI and S.TRILLO,Electron. Lett. 30 (1994) 733–5.Google Scholar
  63. 63.
    S.TRILLO and G.ASSANTO,Opt. Lett. 19 (1994) 1825–7.Google Scholar
  64. 64.
    F.HACHE, A.ZÉBOULON, G.GALLOT and G. M.GALE,Opt. Lett. 20 (1995) 1995–8.Google Scholar
  65. 65.
    H.TAN, G. P.BANFI and A.TOMASELLI,Appl. Phys. Lett. 63 (1993) 2472–5.Google Scholar
  66. 66.
    J. R. DESALVO, ‘On nonlinear refraction and two-photon absorption in optical media’, PhD thesis (1993) Un. Central Florida, Chapter 7.Google Scholar
  67. 67.
    S.NITTI, H. M.TAN, G. P.BANFI and V.DEGIORGIO,Optics Commun. 106 (1994) 263–8.Google Scholar
  68. 68.
    D. Y.KIM, W. E.TORRUELLAS, J.KANG, C.BOSSHARD, G. I.STEGEMAN, P.VIDAKOVIC, J.ZYSS, W. E.MOERNER, R.TWIEG and G.BJORKLUND,Opt. Lett. 19 (1994) 868–70.Google Scholar
  69. 69.
    M. I.SUNDHEIMER, Ch.BOSSHARD, E. W.VANSTRYLAND, G. I.STEGEMAN and J. D.BIERLEIN,Opt. Lett. 18 (1993) 1397–9; M. L. SUNDHEIMER, A. VILLENEUVE, G. I. STEGEMAN and J. D. BIERLEIN,Electron. Lett. 30 (1994) 1401–2.Google Scholar
  70. 70.
    R.SCHIEK, M. L.SUNDHEIMER, D. Y.KIM, Y.BAEK, G. I.STEGEMAN, H.SUCHE and W.SOHLER,Opt. Lett. 19 (1994) 1949–51.Google Scholar
  71. 71.
    G. J. M.KRIJNEN, W.TORRUELLAS, G. I.STEGEMAN, P. V.LAMBECK and H. J. W. M.HOEKSTRA,IEEE J. Quant. Electron. 32 (1996) 729–38.Google Scholar
  72. 72.
    Ch.BOSSHARD, R.SPEITER, M.ZGONIK and P.GUNTER,Phys. Rev. Lett. 74 (1995) 2816–19.Google Scholar
  73. 73.
    P.UNSBO,J. Opt. Soc. Am. B 12 (1995) 43–8.Google Scholar
  74. 74.
    M.ZGONIK and P.GÜNTER,J. Opt. Soc. Am. B 13 (1996) 570–6.Google Scholar
  75. 75.
    G. I.STEGEMAN and A.MILLER, inPhotonic Switching, Vol. 1, edited by J.Midwinter (Academic Press, Orlando, 1992) pp. 81–146.Google Scholar
  76. 76.
    R.SCHIEK,Opt. Quantum Electron. 26 (1994) 414–31.Google Scholar
  77. 77.
    C. N.IRONSIDE, J. S.AITCHISON and J. M.ARNOLD,IEEE J. Quant. Electron. 29 (1993) 2650–4.Google Scholar
  78. 78.
    G.ASSANTO, A.LAURETI-PALMA, C.SIBILIA and M.BERTOLOTTI,Opt. Commun. 110 (1994) 599–603.Google Scholar
  79. 79.
    M.PICCIAU, G.LEO and G.ASSANTO,J. Opt. Soc. Am. B 13 (1996) 661–70.Google Scholar
  80. 80.
    Y.BAEK, R.SCHIEK and G. I.STEGEMAN,Opt. Lett. 20 (1995) 2168–70.Google Scholar
  81. 81.
    Y.BAEK, R.SCHIEK, G.KRIJNEN, G. I.STEGEMAN, I.BAUMANN and W.SOHLER,Appl. Phys. Lett. 68 (1996) 2055–7.Google Scholar
  82. 82.
    R.SCHIEK, Y.BAEK, G.KRIJNEN, G. I.STEGEMAN, I.BAUMANN and W.SOHLER,Opt. Lett. 21 (1996) 940–2.Google Scholar
  83. 83.
    H. M.GIBBS,Optical Bistability: Controlling Light by Light (Academic Press, New York, 1985).Google Scholar
  84. 84.
    C.RICHY, K. I.PETSAS, E.GIACOBINO, C.FABRE and L.LUGIATO,J. Opt. Soc. Am. B 12 (1995) 456–61.Google Scholar
  85. 85.
    Z. Y.OU,Opt. Commun. 124 (1996) 430–7.Google Scholar
  86. 86.
    A. G.WHITE, J.MLYNEK and S.SCHILLER,Europhysics Lett. 35 (1996) 425–30.Google Scholar
  87. 87.
    R.REINISCH, E.POPOV and M.NEVIERE,Opt. Lett. 20 (1995) 854–6.Google Scholar
  88. 88.
    R.REINISCH, M.NEVIERE and E.POPOV,Opt. Lett. 20 (1995) 2472–4.Google Scholar
  89. 89.
    D. B.ANDERSON and J. T.BOYD,Appl. Phys. Lett. 19 (1971) 266–8.Google Scholar
  90. 90.
    C. G.TREVINO-PALACIOS, G. I.STEGEMAN, M. P.DEMICHELLI, P.BALDI, S.NOUTH, D. B.OSTROWSKY, D.DELACOURT and M.PAPUCHON,Appl. Phys. Lett. 67 (1995) 170–2.Google Scholar
  91. 91.
    R.DANELIUS, P.DITRAPANI, A.DUBIETIS, A.PISKARKAS and D.PODENAS,Opt. Lett. 18 (1993) 574–6.Google Scholar
  92. 92.
    R.DANELIUS, A.DUBIETIS and A.PISKARKAS,Opt. Lett. 20 (1995) 1521–3.Google Scholar
  93. 93.
    G.ASSANTO, Z.WANG, D. J.HAGAN and E. W.VANSTRYLAND,Appl. Phys. Lett. 67 (1995) 2120–2.Google Scholar
  94. 94.
    Z. WANG, D. J. HAGAN, E. W. VAN STRLAND and G. ASSANTO,Program for Topical Meeting on Nonlinear Optics: Materials, Fundamentals and Applications (Opt. Soc. Am., Washington, 1996) paper NMB2.Google Scholar
  95. 95.
    L.LEFORT and A.BARTHELEMY,Electron. Lett. 31 (1995) 910–11.Google Scholar
  96. 96.
    L.LEFORT and A.BARTHELEMY,Appl. Phys. Lett. 20 (1995) 1749–51.Google Scholar
  97. 97.
    Z.WANG, D. J.HAGAN, E. W.VANSTRYLAND and G.ASSANTO,Electron. Lett. 32 (1996) 1135–6.Google Scholar
  98. 98.
    K. A.STANKOV,Appl. Phys. B 45 (1988) 191–5.Google Scholar
  99. 99.
    M. B.DANAILOV, G.CERULLO, V.MAGNI, D.SEGALA and S.DESILVESTRI,Opt. Lett. 19 (1994) 792–4.Google Scholar
  100. 100.
    G.CERULLO, M. B.DANAILOV, S.DESILVESTRI, P.LAPORTA, V.MAGNI, D.SEGALA and S.TACCHEO,Appl. Phys. Lett. 65 (1994) 2392–4.Google Scholar
  101. 101.
    K. A.STANKOV,Opt. Lett. 14 (1989) 359–61.Google Scholar
  102. 102.
    K. A.STANKOV,Appl. Phys. Lett. 58 (1991) 2203–4.Google Scholar
  103. 103.
    K. A.STANKOV, K.HAMAL, H.JELINKOVA and I.PROCHAZKA,Opt. Commun. 95 (1993) 85–6.Google Scholar
  104. 104.
    K. A.STANKOV, V.KUBECEK and K.HAMAL,Opt. Lett. 16 (1991) 505–7.Google Scholar
  105. 105.
    K. A.STANKOV, V.KUBECEK and K.HAMAL,IEEE J. Quantum Electron. QE-27 (1991) 2135, 2141.Google Scholar
  106. 106.
    J. R. M.BARR,Opt. Commun. 70 (1989) 229–33.Google Scholar
  107. 107.
    C.HUO and Z.ZHU,Opt. Commun. 79 (1990) 328–32.Google Scholar
  108. 108.
    J. R. M.BARR,Opt. Commun. 81 (1991) 215–21.Google Scholar
  109. 109.
    K. A.STANKOV, V. P.TZOLOV and M. G.MIRKOV,Opt. Lett. 16 (1991) 639–41.Google Scholar
  110. 110.
    V. P.PETROV and K. A.STANKOV,Appl. Phys. B 50 (1990) 409–13.Google Scholar
  111. 111.
    K. A.STANKOV, V. P.TZOLOV and M. G.MIRKOV,Opt. Lett. 16 (1991) 1119–21.Google Scholar
  112. 112.
    K. A.STANKOV, V. P.TZOLOV and M. G.MIRKOV,Appl. Phys. B 54 (1992) 303–6.Google Scholar
  113. 113.
    S.XUE and Q.LOU,J. Mod. Opt. 42 (1995) 2413–24.Google Scholar
  114. 114.
    G.CERULLO, V.MAGNI and A.MONGUZZI,Opt. Lett. 20 (1995) 1785–7.Google Scholar
  115. 115.
    K. A.STANKOV,Appl. Phys. B 52 (1991) 158–62.Google Scholar
  116. 116.
    A.AGNESI, A.DELCORNO, P.DITRAPANI, M.FOGLIANI, G. C.REALI, J.-C.DIELS, C.-Y.YEH, XIN MIAOZHAO and V.KUBECEK,IEEE J. Quantum Electron. 28 (1992) 710–19.Google Scholar
  117. 117.
    I.BUCHVAROV, S.SALTIEL, K.STANKOV and D.GEORGIEV,Opt. Commun. 83 (1991) 65–70.Google Scholar
  118. 118.
    J. R. M.BARR and D. W.HUGHES,Appl. Phys. B 49 (1989) 323–5.Google Scholar
  119. 119.
    J. R. M.BARR and D. W.HUGHES,J. Mod. Opt. 37 (1990) 447–54.Google Scholar
  120. 120.
    XIN MIAOZHAO and DANIEL JOHNMcGRAW,IEEE J. Quantum Electron. 28 (1992) 930–8.Google Scholar
  121. 121.
    D. J. McGRAW, Univ. New Mexico Disclosure and Record of Invention (1988) U.S. Patent 4 933 944.Google Scholar
  122. 122.
    K. A.STANKOV,Opt. Lett. 14 (1989) 51–3.Google Scholar
  123. 123.
    T. F.CARRUTHERS and I. N.DULINGIII,Opt. Lett. 15 (1990) 804–6.Google Scholar
  124. 124.
    Q.WU, J. Y.ZHOU, X. G.HUANG, Z. X.LI and Q. X.LI,J. Opt. Soc. Am. B 10 (1993) 2080–4.Google Scholar
  125. 125.
    E.IPPEN,Appl. Phys. B 58 (1994) 159–70.Google Scholar
  126. 126.
    RAMASWAMY, A. S.GOUVEIA-NETO, D. K.NEGUS, J. A.IZATT and J. G.FUJIMOTO,Opt. Lett. 18 (1993) 1825–7.Google Scholar
  127. 127.
    Y.WANG and R.DRAGLIA,Phys. Rev. A 41 (1990) 5645–9.Google Scholar
  128. 128.
    A.STABINIS, G.VALIULIS and E. A.IBRAGIMOV,Opt. Commun 86 (1991) 301–6.Google Scholar
  129. 129.
    Y.WANG and B.LUTHER-DAVIES,Opt. Lett. 20 (1992) 1459–61.Google Scholar
  130. 130.
    A.UMBRASAS, J.-C.DIELS, J.JACOB, G.VALIULIS and A.PISKARKAS,Opt. Lett. 20 (1995) 2228–30.Google Scholar
  131. 131.
    R.DANIELUS, A.DUBIETIS, G.VALIULIS and A.PISKARSKUS,Opt. Lett. 20 (1995) 2225–7.Google Scholar
  132. 132.
    M.NISOLI, S.DESILVESTRI, G.VALIULIS and A.VARANAVICIUS,Appl. Phys. Lett. 68 (1996) 3540–2.Google Scholar
  133. 133.
    R.LAENEN, H.GRAENER and A.LAUBEREAU,J. Opt. Soc. Am. B 8 (1991) 1985–8.Google Scholar
  134. 134.
    T. J.DRISCOLL, G. M.GALE and F.HACHE,Opt. Commun. 110 (1994) 638–44.Google Scholar
  135. 135.
    F.HACHE, A.ZEBOULON, G.GALLOT and G. M.GALE,Opt. Lett. 20 (1995) 1556–8.Google Scholar
  136. 136.
    M.YAMASHITA, K.TORIZUKA and T.UEMIYA,Appl. Phys. Lett. 57 (1990) 1301–3.Google Scholar
  137. 137.
    M.YAMASHITA, K.TORIZUKA, T.UEMIYA and J.SHIMADA,Appl. Phys. Lett. 58 (1991) 2727–8.Google Scholar
  138. 138.
    R.MORITA and M.YAMASHITA,Opt. Lett. 19 (1994) 1459–61.Google Scholar
  139. 139.
    C. R.MENYUK,J. Opt. Soc. Am. B 10 (1993) 1585–981.Google Scholar
  140. 140.
    A. A.KANASHOV and A. M.RUBENCHIK,Opt. Commun. 24 (1978) 121–4;Physica D 4 (1981) 122–34.Google Scholar
  141. 141.
    E. A.KUZNETSOV, A. M.RUBENCHIK and V. E.ZAKHAROV,Phys. Rep. 142 (1986) 103–65.Google Scholar
  142. 142.
    Q.GUO,Quantum Opt. 5 (1993) 133–9.Google Scholar
  143. 143.
    A. G.KALOCSAI and J. W.HAUS,Phys. Rev. A 49 (1994) 574–85.Google Scholar
  144. 144.
    K.HAYATA and M.KOSHIBA,Phys. Rev. Lett. 71 (1993) 3275–8.Google Scholar
  145. 145.
    M. J.WERNER and P. D.DRUMMOND,J. Opt. Soc. Am. B 10 (1993) 2390–3.Google Scholar
  146. 146.
    R.SCHIEK, Y.BAEK and G. I.STEGEMAN,Phys. Rev. A 53 (1996) 1138–41.Google Scholar
  147. 147.
    C. R.MENYUK, R.SCHIEK and L.TORNER,J. Opt. Soc. Am. B 11 (1994) 2434–43.Google Scholar
  148. 148.
    L.TORNER, C. R.MENYUK and G. I.STEGEMAN,Opt. Lett. 19 (1994) 1615–17;J. Opt. Soc. Am. B 12 (1995) 889–97.Google Scholar
  149. 149.
    L.TORNER and E. M.WRIGHT,J. Opt. Soc. Am. B 13 (1996) 864–75.Google Scholar
  150. 150.
    L.TORNER, C. R.MENYUK, W. E.TORRUELLAS and G. I.STEGEMAN,Opt. Lett. 20 (1995) 13–15.Google Scholar
  151. 151.
    M. A.KARPIERZ and M.SYPEK,Opt. Commun. 110 (1994) 75–9.Google Scholar
  152. 152.
    M. J.WERNER and P. D.DRUMMOND,Opt. Lett. 19 (1994) 613–15.Google Scholar
  153. 153.
    K.HAYATA and M.KOSHIBA,Phys. Rev. A 50 (1994) 675–9.Google Scholar
  154. 154.
    N. C.KOTHARI and X.CARLOTTI,J. Opt. Soc. Am. B 5 (1988) 756–64.Google Scholar
  155. 155.
    A. V.BURYAK and Y. S.KIVSHAR,Opt. Lett. 19 (1994) 1612–14; erratum20 (1995) 1080;Phys. Lett. A 197 (1995) 407–12.Google Scholar
  156. 156.
    L.TORNER,Opt. Commun. 114 (1995) 136–40.Google Scholar
  157. 157.
    A. V.BURYAK, Y. S.KIVSHAR and V. V.STEBLINA,Phys. Rev. A 52 (1995) 1670–4.Google Scholar
  158. 158.
    L.TORNER, D.MIHALACHE, D.MAZILU, E. M.WRIGHT, W. E.TORRUELLAS and G. I.STEGEMAN,Opt. Commun. 121 (1995) 149–55.Google Scholar
  159. 159.
    S.TRILLO and P.FERRO,Phys. Rev. E 51 (1995) 4994–8.Google Scholar
  160. 160.
    A. V.BURYAK and Y. S.KIVSHAR,Opt. Lett. 20 (1995) 834–6.Google Scholar
  161. 161.
    A. V.BURYAK and Y. S.KIVSHAR,Phys. Rev. A 51 (1995) 41–4.Google Scholar
  162. 162.
    D.MIHALACHE, F.LEDERER, D.MAZILU and L.-C.CRASOVAN,Opt. Eng. 35 (1996) 1616–23.Google Scholar
  163. 163.
    H.HE, M. J.WERNER and P. D.DRUMMOND,Phys. Rev. E. 54 (1996) 896–911.Google Scholar
  164. 164.
    A. V.BURYAK,Phys. Rev. E 52 (1995) 1156–63.Google Scholar
  165. 165.
    Y. S.KIVSHAR,Phys. Rev. E 51 (1995) 1613–15.Google Scholar
  166. 166.
    L.TORNER, D.MAZILU and D.MIHALACHE,Phys. Rev. Lett. 77 (1996) 2455–80.Google Scholar
  167. 167.
    C. ETRICH, U. PESCHEL, F. LEDERER, B. MALOMED and Y. S. KIVSHAR,Phys. Rev. E (1996) to be published.Google Scholar
  168. 168.
    L.BERGE, V. K.MEZENTSEV, J. J.RASMUSSEN and J.WYLLER,Phys. Rev. A 52 (1995) 28–31.Google Scholar
  169. 169.
    S. K.TURITSYN,JETP Lett. 61 (1995) 469–72.Google Scholar
  170. 170.
    D. E.PELINOVSKY, A. V.BURYAK and Y. S.KIVSHAR,Phys. Rev. Lett. 75 (1995) 591–5.Google Scholar
  171. 171.
    L.TORNER, D.MIHALACHE, D.MAZILU and N. N.AKHMEDIEV,Opt. Lett. 20 (1995) 2183–5.Google Scholar
  172. 172.
    A. D.BOARDMAN, K.XIE and A.SANGARPAUL,Phys. Rev. A 52 (1995) 4099–106.Google Scholar
  173. 173.
    N.AKHMEDIEV, A.BURYAK and J. M.SOTO-CRESPO,Opt. Commun. 112 (1994) 278–82.Google Scholar
  174. 174.
    K.HAYATA and M.KOSHIBA,J. Opt. Soc. Am. B 12 (1995) 2288–95.Google Scholar
  175. 175.
    B. A. MALOMED, D. ANDERSON, A. BERNTSON, M. FLORJANCYK and M. LISAK,Pure and Appl. Opt. (1996) to be published.Google Scholar
  176. 176.
    H.HE, P. D.DRUMMOND and B. A.MALOMED,Opt. Commun. 123 (1996) 394–402.Google Scholar
  177. 177.
    S.TRILLO, A. V.BURYAK and Y. S.KIVSHAR,Opt. Commun. 122 (1996) 200–11.Google Scholar
  178. 178.
    A. V.BURYAK, Y. S.KIVSHAR and S.TRILLO,Opt. Lett. 20 (1995) 1961–3.Google Scholar
  179. 179.
    M. A.KARPIERZ,Opt. Lett. 20 (1995) 1677–9.Google Scholar
  180. 180.
    C. R.MENYUK,Opt. Lett. 12 (1987) 614–16;J. Opt. Soc. Am. B 5 (1988) 392–402.Google Scholar
  181. 181.
    M. N.ISLAM,Ultrafast Fiber Switching Devices and Systems (Cambridge University Press, Cambridge, 1992).Google Scholar
  182. 182.
    L.TORNER, W. E.TORRUELLAS, G. I.STEGEMAN and C. R.MENYUK,Opt. Lett. 20 (1995) 1952–4.Google Scholar
  183. 183.
    W. E.TORRUELLAS, Z.WANG, L.TORNER and G. I.STEGEMAN,Opt. Lett. 20 (1995) 1949–51.Google Scholar
  184. 184.
    W. E.TORRUELLAS, G.ASSANTO, B. L.LAWRENCE, R. A.FUERST and G. I.STEGEMAN,Appl. Phys. Lett. 68 (1996) 1449–51.Google Scholar
  185. 185.
    G. LEO, G. ASSANTO and W. E. TORRUELLAS,Opt. Commun. (1996) to be published.Google Scholar
  186. 186.
    L.TORNER, J. P.TORRES and C. R.MENYUK,Opt. Lett. 21 (1996) 462–6.Google Scholar
  187. 187.
    A. B.ACEVES and S.WABNITZ,Phys. Lett. A 141 (1989) 37–42.Google Scholar
  188. 188.
    J. M.SOTO-CRESPO, N.AKHMEDIEV and A.ANKIEWICZ,Phys. Rev. E 51 (1995) 3547–55.Google Scholar
  189. 189.
    D.-M.BABOIU, G. I.STEGEMAN and L.TORNER,Opt. Lett. 20 (1995) 2282–4.Google Scholar
  190. 190.
    C.ETRICH, U.PESCHEL, F.LEDERER and B.MALOMED,Phys. Rev. A 52 (1995) 3444–7.Google Scholar
  191. 191.
    C. B. CLAUSEN, P. L. CHRISTIANSEN and L. TORNER,Opt. Commun. (1996) to be published.Google Scholar
  192. 192.
    D. J.KAUP, A.REIMAN and A.BERS,Rev. Mod. Phys. 51 (1979) 275–309.Google Scholar
  193. 193.
    V. E.ZAKHAROV and S. V.MANAKOV,Sov. Phys. JETP 42 (1976) 842–50.Google Scholar
  194. 194.
    D. J.KAUP,Physica D 3 (1981) 374–95.Google Scholar
  195. 195.
    F.CALOGERO,J. Math. Phys. 30 (1989) 28–40.Google Scholar
  196. 196.
    R.FUERST, B.LAWRENCE, W.TORRUELLAS and G. I.STEGEMAN,Technical Digest for QELS'96 (Opt. Soc. Am., Washington, 1996) p. 179, paper QthE2.Google Scholar

Copyright information

© Chapman & Hall 1996

Authors and Affiliations

  • G. I. Stegeman
    • 1
  • D. J. Hagan
    • 1
  • L. Torner
    • 2
  1. 1.Center for Research and Education in Optics and Lasers (CREOL)University of Central FloridaOrlandoUSA
  2. 2.Department of Signal Theory and CommunicationsPolytechnic University of CatalunyaBarcelonaSpain

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