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

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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. J. A.ARMSTRONG, N.BLOEMBERGEN, J.DUCUING and P. S.PERSHAN,Phys. Rev. 127 (1962) 1918–39.

    Google Scholar 

  2. Y. R.SHEN,Principles of Nonlinear Optics (Wiley, New York, 1984).

    Google Scholar 

  3. F. A.HOPF and G. I.ROSE,Applied Classical Electrodynamics, Vol. 2: Nonlinear Optics (Wiley, New York, 1986).

    Google Scholar 

  4. R. W.BOYD,Nonlinear Optics (Academic Press, Boston, 1992).

    Google Scholar 

  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. L. A.OSTROVSKII,JETP Lett. 5 (1967) 272–5.

    Google Scholar 

  7. J. P.COFFINET and F.DEMARTINI,Phys. Rev. Lett. 22 (1969) 60–4.

    Google Scholar 

  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. Y. N.KARAMZIN and A. P.SUKHORUKOV,JETP Lett. 20 (1974) 339–42.

    Google Scholar 

  10. T. K.GUSTAFSON, J.-P. E.TARAN, P. L.KELLEY and R. Y.CHIAO,Opt. Commun. 2 (1970) 17–21.

    Google Scholar 

  11. D. N.KLYSHKO and B. F.POLKOVNIHOV,Sov. J. Quant. Electron. 3 (1972) 324–6.

    Google Scholar 

  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. K.JAIN and G. W.PRATTJR.,Appl. Phys. Lett. 28 (1976) 719–21.

    Google Scholar 

  14. R.NAKACH and H.WILHELMSSON,Phys. Rev. A 14 (1976) 451–6.

    Google Scholar 

  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. J.-M. R.THOMAS and J.-P. E.TARAN,Opt. Commun. 4 (1972) 329–34.

    Google Scholar 

  17. R. C.ECKARDT and J.REINTJES,IEEE J. Quant. Electron. 20 (1984) 1178–87.

    Google Scholar 

  18. J. T.MANASSAH,J. Opt. Soc. Am B 4 (1987) 1235–40.

    Google Scholar 

  19. H. J.BAKKER, P. C. M.PLANKEN, L.KUIPERS and A.LAGENDIJK,Phys. Rev. A 42 (1990) 4085–101.

    Google Scholar 

  20. E.YABLONOVITCH, C.FLYTZANIS and N.BLOEMBERGEN,Phys. Rev. Lett. 29 (1972) 865–8.

    Google Scholar 

  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. 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. M.ZGONIK and P.GUNTER,Ferroelectrics 126 (1992) 33–8.

    Google Scholar 

  24. G. R.MEREDITH,Phys. Rev. B 24 (1981) 5522–32.

    Google Scholar 

  25. N. R.BELASHENKOV, S. V.GAGARSKII and M. V.INOCHKIN,Opt. Spectrosc. 66 (1989) 806–808.

    Google Scholar 

  26. R.DESALVO, D. J.HAGAN, M.SHEIK-BAHAE, G.STEGEMAN and E. W.VANSTRYLAND,Opt. Lett. 17 (1992) 28–30.

    Google Scholar 

  27. G. I.STEGEMAN and E. M.WRIGHT,J. Optical and Quant. Electron. 22 (1990) 95–122.

    Google Scholar 

  28. I.LEDOUX, C.LEPERS, A.PÉRIGAUD, J.BADAN and J.ZYSS,Opt. Commun. 80 (1990) 149–54.

    Google Scholar 

  29. S. R.MARDER, J. W.PERRY and C. R.YAKYMYSHYN,Chem. Mater. 6 (1994) 1137–47.

    Google Scholar 

  30. CH.BOSSHARD, K.SUTTER, R.SCHLESSER and P.GUNTER,J. Opt. Soc. Am. B 10 (1993) 867–85.

    Google Scholar 

  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. K. A.STANKOV and J.JETHWA,Opt. Commun. 66 (1988) 41–6.

    Google Scholar 

  33. A.CERULLO, S.DESILVESTRI, A.MONGUZZI, D.SEGALA and V.MAGNI,Opt. Lett. 20 (1995) 746–8.

    Google Scholar 

  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. 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. 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. J. U.KANG, G. I.STEGEMAN, J. S.AITCHISON and N.AKHMEDIEV,Phys. Rev. Lett. 76 (1996) 3699–702.

    Google Scholar 

  38. J. S. AITCHISON, J. U. KANG, G. I. STEGEMAN, N. N. AKHMEDIEV and E. A. OSTROVSKAYA, Observation of vector spatial solitons, unpublished.

  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. Ch.BOSSHARD,Adv. Mater. 8 (1996) 385–397.

    Google Scholar 

  41. G. I.STEGEMAN, M.SHEIK-BAHAE, E. W.VANSTRYL and G.ASSANTO,Opt. Lett. 18 (1993) 13–15.

    Google Scholar 

  42. P.PLISZKA and P. P.BANERJEE,J. Modern Optics 40 (1993) 1909–16.

    Google Scholar 

  43. R.SCHIEK,J. Opt. Soc. Am. B 10 (1993) 1848–1854.

    Google Scholar 

  44. L.KADOR,Appl. Phys. Lett. 66 (1995) 2938–9.

    Google Scholar 

  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. 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. S.TRILLO, S.WABNITZ, R.CHISARI and G.CAPPELLINI,Opt. Lett. 17 (1992) 637–9.

    Google Scholar 

  48. G.ASSANTO, G. I.STEGEMAN, M.SHEIK-BAHAE and E. W.VANSTRYLAND,Appl. Phys. Lett. 62 (1993) 1323–5.

    Google Scholar 

  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. 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. G.ASSANTO, G. I.STEGEMAN, M.SHEIK-BAHAE and E. W.VANSTRYLAND,IEEE J. Quant. Electron. 31 (1995) 673–81.

    Google Scholar 

  52. L.LEFORT and A.BARTHELEMY,Opt. Commun. 119 (1995) 163–6.

    Google Scholar 

  53. A. E.KAPLAN,Opt. Lett. 18 (1993) 1223–5.

    Google Scholar 

  54. S.TRILLO and P.FERRO,Opt. Lett. 20 (1995) 438–40.

    Google Scholar 

  55. D.HUTCHINGS, J. S.AITCHISON and C. N.IRONSIDE,Opt. Lett. 18 (1993) 793–5.

    Google Scholar 

  56. A. L.BELOSTOTSKY, A. S.LEONOV and A. V.MELESHKO,Opt. Lett. 19 (1994) 856–8.

    Google Scholar 

  57. G.ASSANTO, I.TORELLI and S.TRILLO,Opt. Lett. 19 (1994) 170–2.

    Google Scholar 

  58. G.ASSANTO,Opt. Lett. 20 (1995) 1595–7.

    Google Scholar 

  59. G.ASSANTO and I.TORELLI,Opt. Commun. 119 (1995) 143–8.

    Google Scholar 

  60. A.KOBYAKOV, U.PESCHEL, R.MUSCHALL, G.ASSANTO, V. P.TORCHIGIN and F.LEDERER,Opt. Lett. 20 (1995) 1686–8.

    Google Scholar 

  61. A.KOBYAKOV, U.PESCHEL and F.LEDERER,Opt. Commun. 124 (1996) 184–94.

    Google Scholar 

  62. G.ASSANTO, I.TORELLI and S.TRILLO,Electron. Lett. 30 (1994) 733–5.

    Google Scholar 

  63. S.TRILLO and G.ASSANTO,Opt. Lett. 19 (1994) 1825–7.

    Google Scholar 

  64. F.HACHE, A.ZÉBOULON, G.GALLOT and G. M.GALE,Opt. Lett. 20 (1995) 1995–8.

    Google Scholar 

  65. H.TAN, G. P.BANFI and A.TOMASELLI,Appl. Phys. Lett. 63 (1993) 2472–5.

    Google Scholar 

  66. J. R. DESALVO, ‘On nonlinear refraction and two-photon absorption in optical media’, PhD thesis (1993) Un. Central Florida, Chapter 7.

  67. S.NITTI, H. M.TAN, G. P.BANFI and V.DEGIORGIO,Optics Commun. 106 (1994) 263–8.

    Google Scholar 

  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. 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. 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. 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. Ch.BOSSHARD, R.SPEITER, M.ZGONIK and P.GUNTER,Phys. Rev. Lett. 74 (1995) 2816–19.

    Google Scholar 

  73. P.UNSBO,J. Opt. Soc. Am. B 12 (1995) 43–8.

    Google Scholar 

  74. M.ZGONIK and P.GÜNTER,J. Opt. Soc. Am. B 13 (1996) 570–6.

    Google Scholar 

  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. R.SCHIEK,Opt. Quantum Electron. 26 (1994) 414–31.

    Google Scholar 

  77. C. N.IRONSIDE, J. S.AITCHISON and J. M.ARNOLD,IEEE J. Quant. Electron. 29 (1993) 2650–4.

    Google Scholar 

  78. G.ASSANTO, A.LAURETI-PALMA, C.SIBILIA and M.BERTOLOTTI,Opt. Commun. 110 (1994) 599–603.

    Google Scholar 

  79. M.PICCIAU, G.LEO and G.ASSANTO,J. Opt. Soc. Am. B 13 (1996) 661–70.

    Google Scholar 

  80. Y.BAEK, R.SCHIEK and G. I.STEGEMAN,Opt. Lett. 20 (1995) 2168–70.

    Google Scholar 

  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. R.SCHIEK, Y.BAEK, G.KRIJNEN, G. I.STEGEMAN, I.BAUMANN and W.SOHLER,Opt. Lett. 21 (1996) 940–2.

    Google Scholar 

  83. H. M.GIBBS,Optical Bistability: Controlling Light by Light (Academic Press, New York, 1985).

    Google Scholar 

  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. Z. Y.OU,Opt. Commun. 124 (1996) 430–7.

    Google Scholar 

  86. A. G.WHITE, J.MLYNEK and S.SCHILLER,Europhysics Lett. 35 (1996) 425–30.

    Google Scholar 

  87. R.REINISCH, E.POPOV and M.NEVIERE,Opt. Lett. 20 (1995) 854–6.

    Google Scholar 

  88. R.REINISCH, M.NEVIERE and E.POPOV,Opt. Lett. 20 (1995) 2472–4.

    Google Scholar 

  89. D. B.ANDERSON and J. T.BOYD,Appl. Phys. Lett. 19 (1971) 266–8.

    Google Scholar 

  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. R.DANELIUS, P.DITRAPANI, A.DUBIETIS, A.PISKARKAS and D.PODENAS,Opt. Lett. 18 (1993) 574–6.

    Google Scholar 

  92. R.DANELIUS, A.DUBIETIS and A.PISKARKAS,Opt. Lett. 20 (1995) 1521–3.

    Google Scholar 

  93. G.ASSANTO, Z.WANG, D. J.HAGAN and E. W.VANSTRYLAND,Appl. Phys. Lett. 67 (1995) 2120–2.

    Google Scholar 

  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.

  95. L.LEFORT and A.BARTHELEMY,Electron. Lett. 31 (1995) 910–11.

    Google Scholar 

  96. L.LEFORT and A.BARTHELEMY,Appl. Phys. Lett. 20 (1995) 1749–51.

    Google Scholar 

  97. Z.WANG, D. J.HAGAN, E. W.VANSTRYLAND and G.ASSANTO,Electron. Lett. 32 (1996) 1135–6.

    Google Scholar 

  98. K. A.STANKOV,Appl. Phys. B 45 (1988) 191–5.

    Google Scholar 

  99. M. B.DANAILOV, G.CERULLO, V.MAGNI, D.SEGALA and S.DESILVESTRI,Opt. Lett. 19 (1994) 792–4.

    Google Scholar 

  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. K. A.STANKOV,Opt. Lett. 14 (1989) 359–61.

    Google Scholar 

  102. K. A.STANKOV,Appl. Phys. Lett. 58 (1991) 2203–4.

    Google Scholar 

  103. K. A.STANKOV, K.HAMAL, H.JELINKOVA and I.PROCHAZKA,Opt. Commun. 95 (1993) 85–6.

    Google Scholar 

  104. K. A.STANKOV, V.KUBECEK and K.HAMAL,Opt. Lett. 16 (1991) 505–7.

    Google Scholar 

  105. K. A.STANKOV, V.KUBECEK and K.HAMAL,IEEE J. Quantum Electron. QE-27 (1991) 2135, 2141.

    Google Scholar 

  106. J. R. M.BARR,Opt. Commun. 70 (1989) 229–33.

    Google Scholar 

  107. C.HUO and Z.ZHU,Opt. Commun. 79 (1990) 328–32.

    Google Scholar 

  108. J. R. M.BARR,Opt. Commun. 81 (1991) 215–21.

    Google Scholar 

  109. K. A.STANKOV, V. P.TZOLOV and M. G.MIRKOV,Opt. Lett. 16 (1991) 639–41.

    Google Scholar 

  110. V. P.PETROV and K. A.STANKOV,Appl. Phys. B 50 (1990) 409–13.

    Google Scholar 

  111. K. A.STANKOV, V. P.TZOLOV and M. G.MIRKOV,Opt. Lett. 16 (1991) 1119–21.

    Google Scholar 

  112. K. A.STANKOV, V. P.TZOLOV and M. G.MIRKOV,Appl. Phys. B 54 (1992) 303–6.

    Google Scholar 

  113. S.XUE and Q.LOU,J. Mod. Opt. 42 (1995) 2413–24.

    Google Scholar 

  114. G.CERULLO, V.MAGNI and A.MONGUZZI,Opt. Lett. 20 (1995) 1785–7.

    Google Scholar 

  115. K. A.STANKOV,Appl. Phys. B 52 (1991) 158–62.

    Google Scholar 

  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. I.BUCHVAROV, S.SALTIEL, K.STANKOV and D.GEORGIEV,Opt. Commun. 83 (1991) 65–70.

    Google Scholar 

  118. J. R. M.BARR and D. W.HUGHES,Appl. Phys. B 49 (1989) 323–5.

    Google Scholar 

  119. J. R. M.BARR and D. W.HUGHES,J. Mod. Opt. 37 (1990) 447–54.

    Google Scholar 

  120. XIN MIAOZHAO and DANIEL JOHNMcGRAW,IEEE J. Quantum Electron. 28 (1992) 930–8.

    Google Scholar 

  121. D. J. McGRAW, Univ. New Mexico Disclosure and Record of Invention (1988) U.S. Patent 4 933 944.

  122. K. A.STANKOV,Opt. Lett. 14 (1989) 51–3.

    Google Scholar 

  123. T. F.CARRUTHERS and I. N.DULINGIII,Opt. Lett. 15 (1990) 804–6.

    Google Scholar 

  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. E.IPPEN,Appl. Phys. B 58 (1994) 159–70.

    Google Scholar 

  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. Y.WANG and R.DRAGLIA,Phys. Rev. A 41 (1990) 5645–9.

    Google Scholar 

  128. A.STABINIS, G.VALIULIS and E. A.IBRAGIMOV,Opt. Commun 86 (1991) 301–6.

    Google Scholar 

  129. Y.WANG and B.LUTHER-DAVIES,Opt. Lett. 20 (1992) 1459–61.

    Google Scholar 

  130. A.UMBRASAS, J.-C.DIELS, J.JACOB, G.VALIULIS and A.PISKARKAS,Opt. Lett. 20 (1995) 2228–30.

    Google Scholar 

  131. R.DANIELUS, A.DUBIETIS, G.VALIULIS and A.PISKARSKUS,Opt. Lett. 20 (1995) 2225–7.

    Google Scholar 

  132. M.NISOLI, S.DESILVESTRI, G.VALIULIS and A.VARANAVICIUS,Appl. Phys. Lett. 68 (1996) 3540–2.

    Google Scholar 

  133. R.LAENEN, H.GRAENER and A.LAUBEREAU,J. Opt. Soc. Am. B 8 (1991) 1985–8.

    Google Scholar 

  134. T. J.DRISCOLL, G. M.GALE and F.HACHE,Opt. Commun. 110 (1994) 638–44.

    Google Scholar 

  135. F.HACHE, A.ZEBOULON, G.GALLOT and G. M.GALE,Opt. Lett. 20 (1995) 1556–8.

    Google Scholar 

  136. M.YAMASHITA, K.TORIZUKA and T.UEMIYA,Appl. Phys. Lett. 57 (1990) 1301–3.

    Google Scholar 

  137. M.YAMASHITA, K.TORIZUKA, T.UEMIYA and J.SHIMADA,Appl. Phys. Lett. 58 (1991) 2727–8.

    Google Scholar 

  138. R.MORITA and M.YAMASHITA,Opt. Lett. 19 (1994) 1459–61.

    Google Scholar 

  139. C. R.MENYUK,J. Opt. Soc. Am. B 10 (1993) 1585–981.

    Google Scholar 

  140. A. A.KANASHOV and A. M.RUBENCHIK,Opt. Commun. 24 (1978) 121–4;Physica D 4 (1981) 122–34.

    Google Scholar 

  141. E. A.KUZNETSOV, A. M.RUBENCHIK and V. E.ZAKHAROV,Phys. Rep. 142 (1986) 103–65.

    Google Scholar 

  142. Q.GUO,Quantum Opt. 5 (1993) 133–9.

    Google Scholar 

  143. A. G.KALOCSAI and J. W.HAUS,Phys. Rev. A 49 (1994) 574–85.

    Google Scholar 

  144. K.HAYATA and M.KOSHIBA,Phys. Rev. Lett. 71 (1993) 3275–8.

    Google Scholar 

  145. M. J.WERNER and P. D.DRUMMOND,J. Opt. Soc. Am. B 10 (1993) 2390–3.

    Google Scholar 

  146. R.SCHIEK, Y.BAEK and G. I.STEGEMAN,Phys. Rev. A 53 (1996) 1138–41.

    Google Scholar 

  147. C. R.MENYUK, R.SCHIEK and L.TORNER,J. Opt. Soc. Am. B 11 (1994) 2434–43.

    Google Scholar 

  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. L.TORNER and E. M.WRIGHT,J. Opt. Soc. Am. B 13 (1996) 864–75.

    Google Scholar 

  150. L.TORNER, C. R.MENYUK, W. E.TORRUELLAS and G. I.STEGEMAN,Opt. Lett. 20 (1995) 13–15.

    Google Scholar 

  151. M. A.KARPIERZ and M.SYPEK,Opt. Commun. 110 (1994) 75–9.

    Google Scholar 

  152. M. J.WERNER and P. D.DRUMMOND,Opt. Lett. 19 (1994) 613–15.

    Google Scholar 

  153. K.HAYATA and M.KOSHIBA,Phys. Rev. A 50 (1994) 675–9.

    Google Scholar 

  154. N. C.KOTHARI and X.CARLOTTI,J. Opt. Soc. Am. B 5 (1988) 756–64.

    Google Scholar 

  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. L.TORNER,Opt. Commun. 114 (1995) 136–40.

    Google Scholar 

  157. A. V.BURYAK, Y. S.KIVSHAR and V. V.STEBLINA,Phys. Rev. A 52 (1995) 1670–4.

    Google Scholar 

  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. S.TRILLO and P.FERRO,Phys. Rev. E 51 (1995) 4994–8.

    Google Scholar 

  160. A. V.BURYAK and Y. S.KIVSHAR,Opt. Lett. 20 (1995) 834–6.

    Google Scholar 

  161. A. V.BURYAK and Y. S.KIVSHAR,Phys. Rev. A 51 (1995) 41–4.

    Google Scholar 

  162. D.MIHALACHE, F.LEDERER, D.MAZILU and L.-C.CRASOVAN,Opt. Eng. 35 (1996) 1616–23.

    Google Scholar 

  163. H.HE, M. J.WERNER and P. D.DRUMMOND,Phys. Rev. E. 54 (1996) 896–911.

    Google Scholar 

  164. A. V.BURYAK,Phys. Rev. E 52 (1995) 1156–63.

    Google Scholar 

  165. Y. S.KIVSHAR,Phys. Rev. E 51 (1995) 1613–15.

    Google Scholar 

  166. L.TORNER, D.MAZILU and D.MIHALACHE,Phys. Rev. Lett. 77 (1996) 2455–80.

    Google Scholar 

  167. C. ETRICH, U. PESCHEL, F. LEDERER, B. MALOMED and Y. S. KIVSHAR,Phys. Rev. E (1996) to be published.

  168. L.BERGE, V. K.MEZENTSEV, J. J.RASMUSSEN and J.WYLLER,Phys. Rev. A 52 (1995) 28–31.

    Google Scholar 

  169. S. K.TURITSYN,JETP Lett. 61 (1995) 469–72.

    Google Scholar 

  170. D. E.PELINOVSKY, A. V.BURYAK and Y. S.KIVSHAR,Phys. Rev. Lett. 75 (1995) 591–5.

    Google Scholar 

  171. L.TORNER, D.MIHALACHE, D.MAZILU and N. N.AKHMEDIEV,Opt. Lett. 20 (1995) 2183–5.

    Google Scholar 

  172. A. D.BOARDMAN, K.XIE and A.SANGARPAUL,Phys. Rev. A 52 (1995) 4099–106.

    Google Scholar 

  173. N.AKHMEDIEV, A.BURYAK and J. M.SOTO-CRESPO,Opt. Commun. 112 (1994) 278–82.

    Google Scholar 

  174. K.HAYATA and M.KOSHIBA,J. Opt. Soc. Am. B 12 (1995) 2288–95.

    Google Scholar 

  175. B. A. MALOMED, D. ANDERSON, A. BERNTSON, M. FLORJANCYK and M. LISAK,Pure and Appl. Opt. (1996) to be published.

  176. H.HE, P. D.DRUMMOND and B. A.MALOMED,Opt. Commun. 123 (1996) 394–402.

    Google Scholar 

  177. S.TRILLO, A. V.BURYAK and Y. S.KIVSHAR,Opt. Commun. 122 (1996) 200–11.

    Google Scholar 

  178. A. V.BURYAK, Y. S.KIVSHAR and S.TRILLO,Opt. Lett. 20 (1995) 1961–3.

    Google Scholar 

  179. M. A.KARPIERZ,Opt. Lett. 20 (1995) 1677–9.

    Google Scholar 

  180. C. R.MENYUK,Opt. Lett. 12 (1987) 614–16;J. Opt. Soc. Am. B 5 (1988) 392–402.

    Google Scholar 

  181. M. N.ISLAM,Ultrafast Fiber Switching Devices and Systems (Cambridge University Press, Cambridge, 1992).

    Google Scholar 

  182. L.TORNER, W. E.TORRUELLAS, G. I.STEGEMAN and C. R.MENYUK,Opt. Lett. 20 (1995) 1952–4.

    Google Scholar 

  183. W. E.TORRUELLAS, Z.WANG, L.TORNER and G. I.STEGEMAN,Opt. Lett. 20 (1995) 1949–51.

    Google Scholar 

  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. G. LEO, G. ASSANTO and W. E. TORRUELLAS,Opt. Commun. (1996) to be published.

  186. L.TORNER, J. P.TORRES and C. R.MENYUK,Opt. Lett. 21 (1996) 462–6.

    Google Scholar 

  187. A. B.ACEVES and S.WABNITZ,Phys. Lett. A 141 (1989) 37–42.

    Google Scholar 

  188. J. M.SOTO-CRESPO, N.AKHMEDIEV and A.ANKIEWICZ,Phys. Rev. E 51 (1995) 3547–55.

    Google Scholar 

  189. D.-M.BABOIU, G. I.STEGEMAN and L.TORNER,Opt. Lett. 20 (1995) 2282–4.

    Google Scholar 

  190. C.ETRICH, U.PESCHEL, F.LEDERER and B.MALOMED,Phys. Rev. A 52 (1995) 3444–7.

    Google Scholar 

  191. C. B. CLAUSEN, P. L. CHRISTIANSEN and L. TORNER,Opt. Commun. (1996) to be published.

  192. D. J.KAUP, A.REIMAN and A.BERS,Rev. Mod. Phys. 51 (1979) 275–309.

    Google Scholar 

  193. V. E.ZAKHAROV and S. V.MANAKOV,Sov. Phys. JETP 42 (1976) 842–50.

    Google Scholar 

  194. D. J.KAUP,Physica D 3 (1981) 374–95.

    Google Scholar 

  195. F.CALOGERO,J. Math. Phys. 30 (1989) 28–40.

    Google Scholar 

  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 

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Authors and Affiliations

  1. Center for Research and Education in Optics and Lasers (CREOL), University of Central Florida, 4000 Central Florida Blvd, CREOL Bldg, P.O. Box 162700, 32816-2700, Orlando, FL, USA

    G. I. Stegeman & D. J. Hagan

  2. Department of Signal Theory and Communications, Polytechnic University of Catalunya, Gran Capitan, s/n Campus Nord D3, P.O.B. 30.002, 08080, Barcelona, Spain

    L. Torner

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  1. G. I. Stegeman
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  2. D. J. Hagan
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  3. L. Torner
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Stegeman, G.I., Hagan, D.J. & Torner, L. χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons. Opt Quant Electron 28, 1691–1740 (1996). https://doi.org/10.1007/BF00698538

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