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Multi-longitudinal-mode micro-laser model

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Abstract

We derive a convenient model for broad aperture micro-lasers, such as microchip lasers, broad area semiconductor lasers, or VCSELs, taking into account several longitudinal mode families. We provide linear stability analysis, and show characteristic spatio-temporal dynamics in such multi-longitudinal mode laser models. Moreover, we derive the coupled mode model in the presence of intracavity refraction index modulation (intracavity photonic crystal).

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References

  1. R. Graham, H. Haken, Z. Phys. 237, 31 (1970)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. L.A. Lugiato, C. Oldano, L.M. Narducci, JOSA B 5, 879 (1988)

    Article  ADS  Google Scholar 

  4. P. Coullet, L. Gil, F. Rocca, Opt. Commun. 73, 403 (1989)

    Article  ADS  Google Scholar 

  5. M. Brambilla, F. Battipede, L.A. Lugiato, V. Penna, F. Prati, C. Tamm, C.O. Weiss, Phys. Rev. A 43, 5090 (1991)

    Article  ADS  Google Scholar 

  6. G.L. Oppo, G. D’Alessandro, W. Firth, Phys. Rev. A 44, 4712 (1991)

    Article  ADS  Google Scholar 

  7. F.T. Arecchi, G. Giacomelli, P.L. Ramazza, S. Residori, Phys. Rev. Lett. 67, 3749 (1991)

    Article  ADS  Google Scholar 

  8. S.A. Akhmanov, M.A. Vorontsov, V.Yu. Ivanov, A.V. Larichev, N.I. Zheleznik, JOSA B 9, 78 (1992)

    Article  ADS  Google Scholar 

  9. K. Staliunas, Phys. Rev. A 48, 1573 (1993)

    Article  ADS  Google Scholar 

  10. P.K. Jakobsen, J.V. Moloney, A.C. Newell, R. Indik, Phys. Rev. A 45, 8129 (1992)

    Article  ADS  Google Scholar 

  11. M. Tlidi, M. Georghiou, P. Mandel, Phys. Rev. A 48, 4605 (1993)

    Article  ADS  Google Scholar 

  12. Y.S. Kivshar, X. Yang, Chaos Solitons Fract. 4, 174 (1994)

    Article  Google Scholar 

  13. W.J. Firth, C. Pare, Opt. Lett. 13, 1096 (1988)

    Article  ADS  Google Scholar 

  14. K. Staliunas, V.J. Sanchez-Morcillo, Transverse Patterns in Nonlinear Optical Resonators, Springer Tracts in Modern Physics (Springer Verlag, 2003), Vol. 183

  15. M. Tlidi, K. Staliunas, K. Panajotov, A.G. Vladimirov, M.G. Clerc, Phil. Trans. R. Soc. A 372, 20140101 (2014)

    Article  ADS  Google Scholar 

  16. D. Michaelis, U. Peschel, F. Lederer, Phys. Rev. A 56, R3366 (1997)

    Article  ADS  Google Scholar 

  17. L. Spinelli, G. Tissoni, M. Brambilla, F. Prati, L.A. Lugiato, Phys. Rev. A 58, 2542 (1998)

    Article  ADS  Google Scholar 

  18. S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990)

    Article  ADS  Google Scholar 

  19. N.N. Rosanov, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1996), Vol. XXXV

  20. K. Staliunas, V.B. Taranenko, G. Slekys, R. Viselga, C.O. Weiss, Phys. Rev. A 57, 599 (1998)

    Article  ADS  Google Scholar 

  21. A.J. Scroggie, W.J. Firth, G.S. McDonald, M. Tlidi, R. Lefever, L.A. Lugiato, Chaos Solitons Fract. 4, 1323 (1994)

    Article  ADS  Google Scholar 

  22. G. Slekys, K. Staliunas, C.O. Weiss, Opt. Commun. 149, 113 (1998)

    Article  ADS  Google Scholar 

  23. G.J. de Valcárcel, K. Staliunas, Phys. Rev. A 87, 043802 (2013)

    Article  ADS  Google Scholar 

  24. S.K. Turitsyn, B.G. Bale, M.P. Fedoruk, Phys. Rep. 521, 135 (2012)

    Article  ADS  Google Scholar 

  25. M. Radziunas, K. Staliunas, EPL 95, 14002 (2011)

    Article  ADS  Google Scholar 

  26. R. Herrero, M. Botey, M. Radziunas, K. Staliunas, Opt. Lett. 37, 5253 (2012)

    Article  ADS  Google Scholar 

  27. K. Staliunas, Phys. Rev. Lett. 81, 81 (1998)

    Article  ADS  Google Scholar 

  28. P. Khandokhin, Ya. Khanin, C. Celet, D. Dangoisse, P. Glorieux, Opt. Commun. 123, 372 (1996)

    Article  ADS  Google Scholar 

  29. G. Kozyreff, A.G. Vladimirov, P. Mandel, Phys. Rev. Lett. 85, 3809 (2000)

    Article  ADS  Google Scholar 

  30. K. Staliunas, M. Peckus, V. Sirutkaitis, Phys. Rev. A 76, 051803 (2007)

    Article  ADS  Google Scholar 

  31. K. Staliunas, O. Egorov, Yu.S. Kivshar, F. Lederer, Phys. Rev. Lett. 101, 153903 (2008)

    Article  ADS  Google Scholar 

  32. K. Staliunas, C.O. Weiss, Physica D 81, 79 (1995)

    Article  ADS  Google Scholar 

  33. K. Staliunas, C.O. Weiss, J. Opt. Soc. Am. B 12, 1142 (1995)

    Article  ADS  Google Scholar 

  34. K. Staliunas, G. Slekys, C.O. Weiss, Phys. Rev. Lett. 79, 2658 (1997)

    Article  ADS  Google Scholar 

Download references

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Correspondence to Kestutis Staliunas.

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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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Staliunas, K. Multi-longitudinal-mode micro-laser model. Eur. Phys. J. D 71, 257 (2017). https://doi.org/10.1140/epjd/e2017-80167-9

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  • DOI: https://doi.org/10.1140/epjd/e2017-80167-9

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