journal article May 07, 2021

Excitation of nonlinear beams: from the linear Talbot effect through modulation instability to Akhmediev breathers

View at Publisher Save 10.1364/oe.425626
Abstract
The smooth transition between stable, Talbot-effect-dominated and modulationally unstable nonlinear optical beam propagation is described as the superposition of oscillating, growing and decaying eigenmodes of the common linearized theory of modulation instability. The saturation of the instability in form of breather maxima is embedded between eigenmode growth and decay. This explains well the changes of beam characteristics when the input intensity increases in experiments on modulation instability and breather excitation in spatial-spatial experimental platforms. An increased accuracy of instability gain measurements, a variety of interesting nonlinear beam scenarios and a more selective and well-directed breather excitation are demonstrated experimentally.
Topics

No keywords indexed for this article. Browse by subject →

References
40
[1]
Goodman (1968)
[2]
Zakharov Phys. D (2009) 10.1016/j.physd.2008.12.002
[3]
Béjot Phys. Rev. A (2011) 10.1103/physreva.83.013830
[4]
Tai Appl. Phys. Lett. (1986) 10.1063/1.97181
[5]
Schiek Phys. Rev. Lett. (2001) 10.1103/physrevlett.86.4528
[6]
Modulation instability and periodic solutions of the nonlinear Schrödinger equation

N. N. Akhmediev, V. I. Korneev

Theoretical and Mathematical Physics 1986 10.1007/bf01037866
[7]
Kimmoun Sci. Rep. (2016) 10.1038/srep28516
[8]
Akhmediev Phys. Lett. A (2009) 10.1016/j.physleta.2009.04.023
[9]
Erkintalo Phys. Rev. Lett. (2011) 10.1103/physrevlett.107.253901
[10]
Kibler Nat. Phys. (2010) 10.1038/nphys1740
[11]
Hammani Opt. Lett. (2011) 10.1364/ol.36.000112
[12]
Mussot Nat. Photonics (2018) 10.1038/s41566-018-0136-1
[13]
Chabchoub Phys. Rev. Lett. (2011) 10.1103/physrevlett.106.204502
[14]
Cambournac J. Opt. Soc. Am. B (2002) 10.1364/josab.19.000574
[15]
Pierangeli Phys. Rev. X (2018) 10.1103/physrevx.8.041017
[16]
Schiek Phys. Rev. Res. (2019) 10.1103/physrevresearch.1.032036
[17]
Naveau Opt. Lett. (2019) 10.1364/ol.44.000763
[18]
Frisquet Phys. Rev. A (2014) 10.1103/physreva.89.023821
[19]
Frisquet Phys. Rev. X (2013) 10.1103/physrevx.3.041032
[20]
Kibler Phys. Rev. X (2015) 10.1103/physrevx.5.041026
[21]
Xu Phys. Rev. Lett. (2019) 10.1103/physrevlett.122.084101
[22]
Xu Phys. Rev. E (2019) 10.1103/physreve.99.012207
[23]
Kraych Phys. Rev. Lett. (2019) 10.1103/physrevlett.123.093902
[24]
Boscolo (2017)
[25]
Fratalocchi Opt. Lett. (2004) 10.1364/ol.29.001530
[26]
Van Simaeys Phys. Rev. Lett. (2001) 10.1103/physrevlett.87.033902
[27]
Erkintalo Phys. Lett. A (2011) 10.1016/j.physleta.2011.04.002
[28]
Zhang Phys. Rev. E (2014) 10.1103/physreve.89.032902
[29]
Conforti Phys. Rev. A (2020) 10.1103/physreva.101.023843
[30]
Akhmediev Theor. Math. Phys. (1987) 10.1007/bf01017105
[31]
Soto-Crespo Phys. Rev. A (2017) 10.1103/physreva.96.023825
[32]
Grinevich Phys. Lett. A (2018) 10.1016/j.physleta.2018.02.014
[33]
Crabb Phys. Rev. E (2019) 10.1103/physreve.99.052217
[34]
Kang Pure Appl. Opt. (1996) 10.1088/0963-9659/5/5/012
[35]
Photorefractive solitons

W. Krolikowski, B. Luther-Davies, C. Denz

IEEE Journal of Quantum Electronics 2003 10.1109/jqe.2002.806190
[36]
Schiek J. Opt. Soc. Am. B (1993) 10.1364/josab.10.001848
[37]
Schiek Phys. Rev. E (1996) 10.1103/physreve.53.1138
[38]
Schiek J. Opt. Soc. Am. B (1998) 10.1364/josab.15.002255
[39]
Buryak Opt. Lett. (1995) 10.1364/ol.20.001961
[40]
Hammani Opt. Lett. (2011) 10.1364/ol.36.002140
Metrics
11
Citations
40
References
Details
Published
May 07, 2021
Vol/Issue
29(10)
Pages
15830
License
View
Cite This Article
Roland Schiek (2021). Excitation of nonlinear beams: from the linear Talbot effect through modulation instability to Akhmediev breathers. Optics Express, 29(10), 15830. https://doi.org/10.1364/oe.425626
Related

You May Also Like