Abstract
We have studied synchronous behaviors between a diode-laser-pumped Nd:YAG laser and an electronically-implemented Rössler oscillator. When the Rössler oscillator is unidirectionally coupled to the Nd:YAG laser, two chaotic systems develops from a non-synchronous state to a phase synchronization state with a π phase shift through a 2π phase jump state as the coupling strength increases. To verify that the π phase shift is not anti-phase synchronization but phase synchronization(PS) with a π phase shift, we propose two kinds of similarity functions. From the similarity functions, we confirm that the synchronous phenomenon is PS with a π phase shift.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladres and C. S. Zhou, Phys. Rep. 366, 1 (2002); D. Maza, A. Vallone, H. Mancini and S. Boccaletti, Phys. Rev. Lett. 85, 5567 (2000); C. M. Ticos, E. Rosa, W. B. Pardo, J. A. Walkenstein and M. Monti, Phys. Rev. Lett. 85, 2929 (2000).
S. Boccaletti, E. Allaria, R. Meucci and F. T. Arecchi, Phys. Rev. Lett. 89, 194101 (2002); R. McAllister, R. Meucci, D. DeShazer and R. Roy, Phys. Rev. E 67, 015202(R) (2003); S. Barbay, G. Giacomelli, S. Lepri and A. Zavatta, Phys. Rev. E 68, 020101(R) (2003).
K. Miyakawa and H. Isikawa, Phys. Rev. E 65, 056206 (2002); I. Z. Kiss, Q. Lv and J. L. Hudson, Phys. Rev. E 71, 035201(R) (2005).
C. Shäfer, M. G. Rosenblum, J. Kurths and H. Abel, Nature 392, 239 (1998); P. Tass, M. G. Rosenblum, J Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler and H.-J. Freund, Phys. Rev. Lett. 81, 3291 (1998).
A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera and K. A. Shore, Nature 438, 343 (2005).
P. Mohanty, Nature 437, 325 (2005).
L. Pecora and T. Carroll, Phys. Rev. Lett. 64, 821 (1990).
M. G. Rosenblum, A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).
L. Y. Cao and Y. C. Lai, Phys. Rev. E 58, 382 (1998).
S. Nakata, T. Miyata, N. Ojima and K. Yoshikawa, Physica D 115, 313 (1998); G. Hu, Y. Zhang, H. A. Cerdeira and S. Chen, Phys. Rev. Lett. 85, 3377 (2000); A. Uchida, Y. Liu, I. Fischer, P. Davis and T. Aida, Phys. Rev. A 64, 023801 (2001); S. Sivaprakasam, I. Pierce, P. Ress, P. S. Spencer, K. A. Shore and A. Valle, Phys. Rev. A 64, 013805 (2001); B. Blazejczyk-Okolewska, J. Brindly, K. Czolczynski and T. Kapitaniak, Chaos, Solitons Fractals 12, 1823 (2001); H. L. Yang, Phys. Rev. E 64, 026206 (2001); M. Bennett, M. F. Schatz, H. Rockwood and K. Wiesenfeld, Proc. R. Soc. London, Ser. A 458, 563 (2002); I. Leyva, E. Allaria, S. Boccaletti and F. T. Arecchi, Chaos 14, 118 (2004); W. Liu, J. Xiao, X. Qian and J. Yang, Phys. Rev. E 73, 057203 (2006); H. B. Zhu and B. Cui, Chaos 17, 043122 (2007); Y. Hong, M. W. Lee, J. Paul, P. S. Spencer and K. A. Shore, Opt. Lett. 33, 587 (2008); I. Grosu, E. Padmanaban, P. K. Roy and S. K. Dana, Phys. Rev. Lett. 100, 234102 (2008).
C. M. Kim, S. Rim, W. H. Kye, J. W. Ryu and Y. J. Park, Phys. Lett. A 320, 39 (2003).
I. Kim, C. M. Kim, W. H. Kye and Y. J. Park, Phys. Rev. E 62, 8826 (2000); K. V. Volodchenko, V. N. Ivanov, S. H. Gong, M. Cho, Y. J. Park and C. M. Kim, Opt. Lett. 26 1406 (2001).
M. G. Rosenblum, A. S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
S. Rim, I. Kim, P. Kang, Y. J. Park and C. M. Kim, Phys. Rev. E, 66, 015205(R) (2002); M. Choi, K. V. Volodchenko, S. Rim, W. H. Kye, C. M. Kim, Y. J. Park and G. U. Kim, Opt. Lett. 28, 1013 (2003).
D. S. Lee, J. W. Ryu, Y. J. Park, W. H. Kye, M. S. Kurdoglyan and C. M. Kim, Appl. Phys. Lett. 86, 181104 (2005).
D. I. Kim, D. S. Lee, Y. J. Park, G. U. Kim and C. M. Kim, Opt. Express 14, 702 (2006).
K. J. Lee, Y. Kwak and T. K. Lim, Phys. Rev. Lett. 81, 321 (1998); C. M. Kim, W. H. Kye, S. Rim, D. U. Hwang, I. Kim, Y. J. Park and E. K. Lee, Phys. Lett. A 313, 62 (2003).
F. Hollinger and C. Jung, J. Opt. Soc. Am. B: Opt. Phys. 2, 218 (1985).
G. H. Li and S. P. Zhou, Chaos, Solitons Fractals 32, 516 (2007).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lee, DS., Kim, GH., Kang, U. et al. Phase synchronization in a diode-laser-pumped Nd:YAG laser coupled with a chaotic oscillator. Journal of the Korean Physical Society 60, 322–326 (2012). https://doi.org/10.3938/jkps.60.322
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.60.322