Abstract.
We consider ultrafast second order frequency conversion processes, under group velocity matching conditions. The three wave interaction equations, describing velocity matched ultrafast optical frequency conversion processes, can be reduced to Sine-Gordon equation. In this way, the well known Sine-Gordon solitons can be mapped into three wave soliton solutions. Here, we report the numerical dynamics of three wave simultons, two-solitons and breathers in ultrafast second order frequency conversion processes.
Similar content being viewed by others
References
G. Cerullo, S. De Silvestri, Rev. Sci. Instrum. 74, 1 (2003)
D. Hofmann, G. Schreiber, C. Haase, H. Herrmann, W. Grundkotter, R. Ricken, W. Sohler, Opt. Lett. 24, 896 (1999)
C. Zhang, H. Wei, Y. Zhu, H. Wang, S. Zhu, N. Ming, Opt. Lett. 26, 899 (2001)
D. Brida, G. Cirmi, C. Manzoni, S. Bonora, P. Villoresi, S. De Silvestri, G. Cerullo, Opt. Lett. 33, 741 (2008)
M. Marangoni, D. Brida, M. Conforti, A. Capobianco, C. Manzoni, F. Baronio, G. Nalesso, C. De Angelis, R. Ramponi, G. Cerullo, Opt. Lett. 34, 241 (2009)
F. Konig, F.N.C. Wong, Appl. Phys. Lett. 84, 1644 (2004)
N.E. Yu et al., Appl. Phys. Lett. 82, 2288 (2003)
E. Ibragimov, A. Struthers, Opt. Lett. 21, 1582 (1996)
M. Conforti, F. Baronio, A. Degasperis, S. Wabnitz, Opt. Express 15, 12246 (2007)
V.E. Zakharov, S.V. Manakov, Sov. Phys. JETP Lett. 18, 243 (1973)
D.J. Kaup, A. Reiman, A. Bers, Rev. Mod. Phys. 51, 275 (1979)
A. Picozzi, M. Haelterman, Opt. Lett. 23, 1808 (1998)
A. Degasperis, M. Conforti, F. Baronio, S. Wabnitz, Phys. Rev. Lett. 97, 093901 (2006)
F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010)
F. Baronio, M. Conforti, A. Degasperis, S. Wabnitz, IEEE J. Quantum Electron. 44, 542 (2008)
A. Barone, F. Esposito, C.J. Magee, A.S. Scott, Riv. Nuovo Cim. 1, 227 (1971)
M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Lett. 30, 1262 (1973)
E. Ibragimov, A. Struthers, J. Opt. Soc. Am. B 14, 1472 (1997)
K. Nozaki, J. Phys. Soc. Jpn 37, 206 (1974)
N. Yu, S. Kurimura, K. Kitamura, S. Ashihara, T. Shimura, K. Kuroda, T. Taira, Appl. Phys. Lett. 82, 3388 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Conforti, M., Baronio, F. Soliton dynamics in velocity matched ultrafast frequency conversion processes. Eur. Phys. J. D 64, 115–118 (2011). https://doi.org/10.1140/epjd/e2011-20236-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2011-20236-7