- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Exponentially decaying interaction potential of cavity solitons

Shayesteh Rahmani Anbardan1,2, Cristina Rimoldi3,*, Reza Kheradmand1,†, Giovanna Tissoni3, and Franco Prati2

  • 1Photonics Group, RIAPA, University of Tabriz, Tabriz, Iran
  • 2Dipartimento di Scienza e Alta Tecnologia, Università dell'Insubria, Via Valleggio 11, 22100 Como, Italy
  • 3Université Côte d'Azur, CNRS, Institut de Physique de Nice, Valbonne, France

  • *Present address: INRS-EMT, 1650 Boulevard Lionel-Boulet, Varennes, Québec J3X 1S2, Canada.
  • †r.kheradmand.a@gmail.com
PDF

Phys. Rev. E 97, 032208 – Published 20 March, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.032208

Abstract

We analyze the interaction of two cavity solitons in an optically injected vertical cavity surface emitting laser above threshold. We show that they experience an attractive force even when their distance is much larger than their diameter, and eventually they merge. Since the merging time depends exponentially on the initial distance, we suggest that the attraction could be associated with an exponentially decaying interaction potential, similarly to what is found for hydrophobic materials. We also show that the merging time is simply related to the characteristic times of the laser, photon lifetime, and carrier lifetime.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. M. Brambilla, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, Phys. Rev. A 43, 5114 (1991).
  2. K. Staliunas, Phys. Rev. A 48, 1573 (1993).
  3. P. Coullet, L. Gil, and F. Rocca, Opt. Commun. 73, 403 (1989).
  4. F. T. Arecchi, Phys. D 51, 450 (1991).
  5. M. Vaupel, K. Staliunas, and C. O. Weiss, Phys. Rev. A 54, 880 (1996).
  6. D. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature (London) 450, 1054 (2007).
  7. M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).
  8. J. M. Dudley, F. Dias, M. Erkintalo, and G. Genty, Nat. Photonics 8, 755 (2014).
  9. F. Prati, L. A. Lugiato, G. Tissoni, and M. Brambilla, Phys. Rev. A 84, 053852 (2011).
  10. S. Protiére, A. Boudaoud, and Y. Couder, J. Fluid Mech. 554, 85 (2006).
  11. J. Israelachvili and R. Pashley, Nature (London) 300, 341 (1982).
  12. S. Donaldson, A. Røyne, K. Kristiansen, M. Rapp, S. Das, M. Gebbie, D. Lee, P. Stock, M. Valtiner, and J. Israelachvili, Langmuir 31, 2051 (2015).
  13. L. Lugiato, F. Prati, and M. Brambilla, Nonlinear Optical Systems (Cambridge University Press, Cambridge, U.K., 2015).
  14. T. Ackemann, W. J. Firth, and G.-L. Oppo, Adv. At. Mol. Opt. Phys. 57, 323 (2009).
  15. P. Del'Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, Nature (London) 450, 1214 (2007).
  16. F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, and M. Haelterman, Nat. Photonics 4, 471 (2010).
  17. F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, Phys. Rev. Lett. 115, 043902 (2015).
  18. F. Gustave, C. Rimoldi, P. Walczak, L. Columbo, M. Brambilla, F. Prati, G. Tissoni, and S. Barland, Eur. Phys. J. D 71, 154 (2017).
  19. S. Barland, J. Tredicce, M. Brambilla, L. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knödl et al., Nature (London) 419, 699 (2002).
  20. X. Hachair, S. Barland, L. Furfaro, M. Giudici, S. Balle, J. Tredicce, M. Brambilla, T. Maggipinto, I. Perrini, G. Tissoni et al., Phys. Rev. A 69, 043817 (2004).
  21. N. Rosanov and G. Khodova, J. Opt. Soc. Am. B 7, 1057 (1990).
  22. M. Brambilla, L. Lugiato, and M. Stefani, Chaos 6, 368 (1996).
  23. G. Tissoni, L. Spinelli, M. Brambilla, T. Maggipinto, I. Perrini, and L. Lugiato, J. Opt. Soc. Am. B 16, 2095 (1999).
  24. X. Hachair, F. Pedaci, E. Caboche, S. Barland, M. Giudici, J. Tredicce, F. Prati, G. Tissoni, R. Kheradmand, L. Lugiato et al., IEEE J. Sel. Top. Quantum Electron. 12, 339 (2006).
  25. F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, App. Phys. Lett. 93, 111104 (2008).
  26. F. Pedaci, P. Genevet, S. Barland, M. Giudici, and J. Tredicce, Appl. Phys. Lett. 89, 221111 (2006).
  27. M. Eslami, R. Kheradmand, and G. Hashemvand, Opt. Quantum Electron. 46, 319 (2014).
  28. F. Prati, G. Tissoni, C. McIntyre, and G. L. Oppo, Eur. Phys. J. D 59, 139 (2010).
  29. S. K. Foong, Eur. J. Phys. 29, 987 (2008).
  30. B. A. Malomed, Phys. Rev. E 47, 2874 (1993).
  31. B. Malomed and A. Nepomnyashchy, Europhys. Lett. 27, 649 (1994).
  32. A. G. Vladimirov, J. M. McSloy, D. V. Skryabin, and W. J. Firth, Phys. Rev. E 65, 046606 (2002).
  33. F. Pedaci, S. Barland, E. Caboche, P. Genevet, M. Giudici, J. Tredicce, T. Ackemann, A. Scroggie, W. Firth, G.-L. Oppo et al., Appl. Phys. Lett. 92, 011101 (2008).

Outline

Information

Phys. Rev. E 97, 032208– Published 20 March, 2018
  • Received 21 August 2017
  • Revised 29 January 2018
Crossmark - Check for updates button

©2018 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation