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Experimental and numerical investigations of switching wave dynamics in a normally dispersive fibre ring resonator

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Abstract

Optical frequency combs generated in normally dispersive Kerr microresonators have been observed to correspond to dark temporal structures, and theoretically explained as interlocked switching waves (also known as domain walls or fronts). The time-domain dynamics that underpin the formation of this type of frequency combs has however so far eluded direct experimental observation. Here we use a closely related system – a synchronously driven optical fibre ring resonator – to experimentally study the dynamics of deterministically excited switching waves. We measure the switching wave velocities across broad parameter regions, and observe clear signatures of interlocking behaviour leading to the formation of persisting dark pulses. Our experimental findings are in good agreement with simulations of the mean-field Lugiato-Lefever equation, and strongly support the nature of normal-dispersion microresonator frequency combs suggested in the literature.

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References

  1. M. Haelterman, S. Trillo, S. Wabnitz, Opt. Commun. 91, 401 (1992)

    Article  ADS  Google Scholar 

  2. S. Coen, M. Haelterman, Ph. Emplit, L. Delage, L.M. Simohamed, F. Reynaud, J. Opt. Soc. Am. B 15, 2283 (1998)

    Article  ADS  Google Scholar 

  3. S. Coen, M. Haelterman, Opt. Lett. 26, 39 (2001)

    Article  ADS  Google Scholar 

  4. F. Leo, S. Coen, P. Kockaert, S.P. Gorza, Ph. Emplit, M. Haelterman, Nat. Photon. 4, 471 (2010)

    Article  ADS  Google Scholar 

  5. F. Leo, L. Gelens, Ph. Emplit, M. Haelterman, S. Coen, Opt. Express 21, 9180 (2013)

    Article  ADS  Google Scholar 

  6. J.K. Jang, M. Erkintalo, S.G. Murdoch, S. Coen, Nat. Photon. 7, 657 (2013)

    Article  ADS  Google Scholar 

  7. J.K. Jang, M. Erkintalo, S. Coen, S.G. Murdoch, Nat. Commun. 6, 7370 (2015)

    Article  ADS  Google Scholar 

  8. F. Copie, M. Conforti, A. Kudlinski, A. Mussot, S. Trillo, Phys. Rev. Lett. 116, 143901/1 (2016)

    Article  ADS  Google Scholar 

  9. J.K. Jang, M. Erkintalo, J. Schröder, B.J. Eggleton, S.G. Murdoch, S. Coen, Opt. Lett. 41, 4526 (2016)

    Article  ADS  Google Scholar 

  10. P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, T.J. Kippenberg, Nature 450, 1214 (2007)

    Article  ADS  Google Scholar 

  11. T.J. Kippenberg, R. Holzwarth, S.A. Diddams, Science 332, 555 (2011)

    Article  ADS  Google Scholar 

  12. A.A. Savchenkov, A.B. Matsko, W. Liang, V.S. Ilchenko, D. Seidel, L. Maleki, Nat. Photon. 5, 293 (2011)

    Article  ADS  Google Scholar 

  13. F. Ferdous, H. Miao, D.E. Leaird, K. Srinivasan, J. Wang, L. Chen, L.T. Varghese, A.M. Weiner, Nat. Photon. 5, 770 (2011)

    Article  ADS  Google Scholar 

  14. T. Herr, V. Brasch, J.D. Jost, C.Y. Wang, N.M. Kondratiev, M.L. Gorodetsky, T.J. Kippenberg, Nat. Photon. 8, 145 (2014)

    Article  ADS  Google Scholar 

  15. R. Henriet, G. Lin, A. Coillet, M. Jacquot, L. Furfaro, L. Larger, Y.K. Chembo, Opt. Lett. 40, 1567 (2015)

    Article  ADS  Google Scholar 

  16. X. Yi, Q.F. Yang, K.Y. Yang, M.G. Suh, K. Vahala, Optica 2, 1078 (2015)

    Article  Google Scholar 

  17. C. Joshi, J.K. Jang, K. Luke, X. Ji, S.A. Miller, A. Klenner, Y. Okawachi, M. Lipson, A.L. Gaeta, Opt. Lett. 41, 2565 (2016)

    Article  ADS  Google Scholar 

  18. K.E. Webb, M. Erkintalo, S. Coen, S.G. Murdoch, Opt. Lett. 41, 4613 (2016)

    Article  ADS  Google Scholar 

  19. J. Pfeifle, V. Brasch, M. Lauermann, Y. Yu, D. Wegner, T. Herr, K. Hartinger, P. Schindler, J. Li, D. Hillerkuss et al., Nat. Photon. 8, 375 (2014)

    Article  ADS  Google Scholar 

  20. J. Pfeifle, A. Coillet, R. Henriet, K. Saleh, P. Schindler, C. Weimann, W. Freude, I.V. Balakireva, L. Larger, C. Koos et al., Phys. Rev. Lett. 114, 093902/1 (2015)

    Article  ADS  Google Scholar 

  21. M.G. Suh, Q.F. Yang, K.Y. Yang, X. Yi, K.J. Vahala, Science 354, 600 (2016)

    Article  ADS  Google Scholar 

  22. A. Dutt, C. Joshi, X. Ji, J. Cardenas, Y. Okawachi, K. Luke, A.L. Gaeta, M. Lipson, arXiv:1611.07673 (2016)

  23. S. Coen, H.G. Randle, T. Sylvestre, M. Erkintalo, Opt. Lett. 38, 37 (2013)

    Article  ADS  Google Scholar 

  24. S. Coen, M. Erkintalo, Opt. Lett. 38, 1790 (2013)

    Article  ADS  Google Scholar 

  25. Y.K. Chembo, C.R. Menyuk, Phys. Rev. A 87, 053852/1 (2013)

    Article  ADS  Google Scholar 

  26. L.A. Lugiato, R. Lefever, Phys. Rev. Lett. 58, 2209 (1987)

    Article  ADS  Google Scholar 

  27. G.J. Morales, Y.C. Lee, Phys. Rev. Lett. 33, 1016 (1974)

    Article  ADS  Google Scholar 

  28. K. Nozaki, N. Bekki, Phys. Lett. A 102, 383 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  29. K. Nozaki, N. Bekki, Phys. D: Nonlinear Phenom. 21, 381 (1986)

    Article  ADS  Google Scholar 

  30. D.J. Kaup, A.C. Newell, Phys. Rev. B 18, 5162 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  31. K. Luo, J.K. Jang, S. Coen, S.G. Murdoch, M. Erkintalo, Opt. Lett. 40, 3735 (2015)

    Article  ADS  Google Scholar 

  32. J.K. Jang, M. Erkintalo, K. Luo, G.L. Oppo, S. Coen, S.G. Murdoch, New J. Phys. 18, 033034/1 (2016)

    ADS  Google Scholar 

  33. M. Anderson, F. Leo, S. Coen, M. Erkintalo, S.G. Murdoch, Optica 3, 1071 (2016)

    Article  Google Scholar 

  34. S. Coen, M. Haelterman, Phys. Rev. Lett. 79, 4139 (1997)

    Article  ADS  Google Scholar 

  35. S. Coen, M. Haelterman, Opt. Lett. 24, 80 (1999)

    Article  ADS  Google Scholar 

  36. A.B. Matsko, A.A. Savchenkov, L. Maleki, Opt. Lett. 37, 43 (2012)

    Article  ADS  Google Scholar 

  37. C. Godey, I.V. Balakireva, A. Coillet, Y.K. Chembo, Phys. Rev. A 89, 063814/1 (2014)

    Article  ADS  Google Scholar 

  38. A. Coillet, I. Balakireva, R. Henriet, K. Saleh, L. Larger, J.M. Dudley, C. Menyuk, Y. Chembo, IEEE Photon. J. 5, 6100409/1 (2013)

    Article  Google Scholar 

  39. W. Liang, A.A. Savchenkov, V.S. Ilchenko, D. Eliyahu, D. Seidel, A.B. Matsko, L. Maleki, Opt. Lett. 39, 2920 (2014)

    Article  ADS  Google Scholar 

  40. X. Xue, Y. Xuan, Y. Liu, P.H. Wang, S. Chen, J. Wang, D.E. Leaird, M. Qi, A.M. Weiner, Nat. Photon. 9, 594 (2015)

    Article  ADS  Google Scholar 

  41. X. Xue, F. Leo, Y. Xuan, J.A. Jaramillo-Villegas, P.H. Wang, D.E. Leaird, M. Erkintalo, M. Qi, A.M. Weiner, arXiv:1607.02711 (2016)

  42. M. Tlidi, A. Mussot, E. Louvergneaux, G. Kozyreff, A.G. Vladimirov, M. Taki, Opt. Lett. 32, 662 (2007)

    Article  ADS  Google Scholar 

  43. V.E. Lobanov, G. Lihachev, T.J. Kippenberg, M.L. Gorodetsky, Opt. Express 23, 7713 (2015)

    Article  ADS  Google Scholar 

  44. P. Parra-Rivas, D. Gomila, E. Knobloch, S. Coen, L. Gelens, Opt. Lett. 41, 2402 (2016)

    Article  ADS  Google Scholar 

  45. N.N. Rozanov, V.E. Semenov, G.V. Khodova, Soviet J. Quantum Electron. 12, 193 (1982) [translated from Kvantovaya Elektron. (Moscow) 9, 354 (1982)]

    Article  ADS  Google Scholar 

  46. V. Petrov, Q. Ouyang, H.L. Swinney, Nature 388, 655 (1997)

    Article  ADS  Google Scholar 

  47. S.P. Dawson, J. Keizer, J.E. Pearson, Proc. Natl. Acad. Sci. USA 96, 6060 (1999)

    Article  ADS  Google Scholar 

  48. A.H. Eschenfelder, Magnetic Bubble Technology, Springer Series in Solid-State Sciences (1981), ISBN 978-3-540-10790-3

  49. J.E. Macías, M.G. Clerc, C. Falcón, M.A. García-Nustes, Phys. Rev. E 88, 020201/1 (2013)

    Article  ADS  Google Scholar 

  50. Y. Pomeau, Phys. D: Nonlinear Phenom. 23, 3 (1986)

    Article  ADS  Google Scholar 

  51. M.G. Clerc, D. Escaff, V.M. Kenkre, Phys. Rev. E 72, 056217/1 (2005)

    Article  ADS  Google Scholar 

  52. F.A. Williams, Combustion Theory (Addison Wesley, 1965)

  53. S. Coen, M. Tlidi, Ph. Emplit, M. Haelterman, Phys. Rev. Lett. 83, 2328 (1999)

    Article  ADS  Google Scholar 

  54. G.L. Oppo, A.J. Scroggie, W.J. Firth, J. Opt. B: Quantum Semiclass. Opt. 1, 133 (1999)

    Article  ADS  Google Scholar 

  55. I. Ganne, G. Slekys, I. Sagnes, R. Kuszelewicz, Phys. Rev. B 63, 075318 (2001)

    Article  ADS  Google Scholar 

  56. D. Gomila, P. Colet, G.L. Oppo, M. San Miguel, Phys. Rev. Lett. 87, 194101/1 (2001)

    Article  ADS  Google Scholar 

  57. S. Residori, Phys. Rep. 416, 201 (2005)

    Article  ADS  Google Scholar 

  58. F. Marino, G. Giacomelli, S. Barland, Phys. Rev. Lett. 112, 103901 (2014)

    Article  ADS  Google Scholar 

  59. V. Odent, M. Tlidi, M.G. Clerc, P. Glorieux, E. Louvergneaux, Phys. Rev. A 90, 011806 (2014)

    Article  ADS  Google Scholar 

  60. F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, S. Barland, Phys. Rev. A 93, 063824 (2016)

    Article  ADS  Google Scholar 

  61. W. Firth, I. Galbraith, IEEE J. Quantum Electron. 21, 1399 (1985)

    Article  ADS  Google Scholar 

  62. T. Ackemann, W.J. Firth, G.L. Oppo, Adv. Atom. Mol. Opt. Phys. 57, 323 (2009)

    Article  ADS  Google Scholar 

  63. B.A. Malomed, Phys. Rev. E 47, 2874 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  64. B. Schäpers, M. Feldmann, T. Ackemann, W. Lange, Phys. Rev. Lett. 85, 748 (2000)

    Article  ADS  Google Scholar 

  65. F. Gustave, C. Rimoldi, P. Walczak, L. Columbo, M. Brambilla, F. Prati, G. Tissoni, S. Barland, Eur. Phys. J. D 71, 154 (2017)

    Article  ADS  Google Scholar 

  66. Y. Wang, F. Leo, J. Fatome, M. Erkintalo, S.G. Murdoch, S. Coen, Optica 4, 855 (2017)

    Article  Google Scholar 

  67. N.N. Rosanov, G.V. Khodova, J. Opt. Soc. Am. B 7, 1057 (1990)

    Article  ADS  Google Scholar 

  68. R. Gallego, M. San Miguel, R. Toral, Phys. Rev. E 61, 2241 (2000)

    Article  ADS  Google Scholar 

  69. G.L. Oppo, A.J. Scroggie, W.J. Firth, Phys. Rev. E 63, 066209/1 (2001)

    Article  ADS  Google Scholar 

  70. M. Pesch, W. Lange, D. Gomila, T. Ackemann, W.J. Firth, G.L. Oppo, Phys. Rev. Lett. 99, 153902 (2007)

    Article  ADS  Google Scholar 

  71. Y.P. Ma, J. Burke, E. Knobloch, Phys. D: Nonlinear Phenom. 239, 1867 (2010)

    Article  ADS  Google Scholar 

  72. S. Coulibaly, M. Taki, M. Tlidi, Opt. Express 22, 483 (2014)

    Article  ADS  Google Scholar 

  73. P. Parra-Rivas, E. Knobloch, D. Gomila, L. Gelens, Phys. Rev. A 93, 063839/1 (2016)

    Article  ADS  Google Scholar 

  74. I. Rabbiosi, A.J. Scroggie, G.L. Oppo, Phys. Rev. E 68, 036602/1 (2003)

    Article  ADS  Google Scholar 

  75. M.H. Anderson, Y. Wang, F. Leo, S. Coen, M. Erkintalo, S.G. Murdoch, arXiv:1702.00782 (2017)

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Correspondence to Bruno Garbin.

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Contribution to the Topical Issue “Theory and Applications of the Lugiato-Lefever Equation”, edited by Yanne K. Chembo, Damia Gomila, Mustapha Tlidi, Curtis R. Menyuk.

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Garbin, B., Wang, Y., Murdoch, S.G. et al. Experimental and numerical investigations of switching wave dynamics in a normally dispersive fibre ring resonator. Eur. Phys. J. D 71, 240 (2017). https://doi.org/10.1140/epjd/e2017-80133-7

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