Abstract
A model is proposed for the nonlinear response of a medium in which the permittivity depending on the field intensity is instantaneously switched when the field amplitude reaches a certain value. The propagation of a self-channeled light beam in a medium with such a nonlinearity and with the same type of the Kerr response (self-focusing or defocusing) is considered. It is shown that when the switching field exceeds the threshold value, a symmetric finite-length region (domain) with different optical properties is formed along the beam channel. Three cases of combination of the nonlinearity signs and the values of the effective refractive index are considered. In the focusing medium, the power of radiation propagating along the interface is higher than in the defocusing medium. In the defocusing medium, there exists a threshold value of the total luminous energy flux, beginning with which self-localization can occur, when the values of the effective refractive index lie between the unperturbed dielectric constants of the medium and of the domain.
Similar content being viewed by others
REFERENCES
H. N. Kishikawa and N. Goto, Opt. Eng. 46, 044602 (2007).
C. Ironside, Semiconductor Integrated Optics for Switching Light (Morgan and Claypool, Bristol, UK, 2017).
A. Goodarzi, M. Ghanaatshoar, and M. Mozafari, Sci. Rep. 8, 15340 (2018).
Surface Waves: New Trends and Developments, Ed. by F. Ebrahimi (IntechOpen, Rijeka, Croatia, 2018).
E. C. Jarque and V. A. Malyshev, Opt. Commun. 142, 66 (1997).
A. Schuzgen, N. Peyghambarian, and S. Hughes, Phys. Status Solidi B 206, 125 (1999).
P. I. Khadzhi and L. V. Fedorov, Sov. Tech. Phys. 36, 564 (1991).
N. N. Beletskii and E. A. Gasan, Phys. Solid State 36, 357 (1994).
K. D. Lyakhomskaya and P. I. Khadzhi, Tech. Phys. 45, 1457 (2000).
A. E. Kaplan, IEEE J. Quant. Electron. 21, 1538 (1985).
R. H. Enns, S. S. Rangnekar, and A. E. Kaplan, Phys. Rev. A 35, 466 (1987).
V. E. Wood, E. D. Evans, and R. P. Kenan, Opt. Commun. 69, 156 (1988).
S. Gatz and J. Herrmann, J. Opt. Soc. Am. B 8, 2296 (1991).
J. Herrmann, J. Opt. Soc. Am. B 8, 1507 (1991).
L. V. Fedorov and K. D. Lyakhomskaya, Tech. Phys. Lett. 23, 915 (1997).
K. Zhan, H. Tian, X. Li, X. Xu, Z. Jiao, and Y. Jia, Sci. Rep. 6, 32990 (2016).
M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Crystals in Coherent Optics (Nauka, St. Petersburg, 1992) [in Russian].
S. Bian, J. Frejlich, and K. H. Ringhofer, Phys. Rev. Lett. 78, 4035 (1997).
V. N. Belyi and N. A. Khilo, Tech. Phys. Lett. 23, 467 (1997).
S. M. Shandarov and E. S. Shandarov, Tech. Phys. Lett. 23, 586 (1997).
D. Kh. Usievich, B. A. Nurligareev, V. A. Sychugov, L. I. Ivleva, P. A. Lykov, and N. V. Bogodaev, Quantum Electron. 40, 437 (2010).
D. Kh. Usievich, B. A. Nurligareev, V. A. Sychugov, and L. I. Ivleva, Quantum Electron. 41, 924 (2011).
S. A. Chetkin and I. M. Akhmedzhanov, Quantum Electron. 41, 980 (2011).
D. Kh. Usievich, B. A. Nurligareev, V. A. Sychugov, and L. I. Ivleva, Quantum Electron. 43, 14 (2013).
S. E. Savotchenko, Solid State Commun. 296, 32 (2019).
S. E. Savotchenko, JETP Lett. 109, 744 (2019).
S. E. Savotchenko, J. Exp. Theor. Phys. 129, 159 (2019).
S. E. Savotchenko, Quantum Electron. 49, 850 (2019).
S. E. Savotchenko, Kondens. Sredy Mezhfaz. Granitsy 21, 441 (2019).
S. E. Savotchenko, Russ. Phys. J. 63, 160 (2020).
S. E. Savotchenko, Opt. Spectrosc. 128, 345 (2020).
S. E. Savotchenko, Phys. Solid State 62, 1011 (2020).
J. M. Christian, G. S. McDonald, and P. Chamorro-Posada, J. Opt. Soc. Am. B 26, 2323 (2009).
R. H. Enns, S. S. Rangnekar, and A. E. Kaplan, Phys. Rev. A 36, 1270 (1987).
R. H. Enns and S. S. Rangnekar, Opt. Lett. 12, 108 (1987).
P. I. Khadzhi, G. D. Shibarshina, and A. Kh. Rotaru, Optical Bistability in a System of Coherent Excitons and Biexcitons in Semiconductors (Shtiintsa, Kishinev, 1988) [in Russian].
S. E. Savotchenko, Pramana J. Phys. 93, 77 (2019).
S. E. Savotchenko, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. (in press).
J. M. Takayama, G. S. McDonald, and P. J. Chamorro-Posada, Opt. Soc. Am. B 26, 2323 (2009).
P. Roussignol, D. Ricard, J. Lukasik, and C. Flytzanis, J. Opt. Soc. Am. B 4, 5 (1987).
J.-L. Coutaz and M. Kull, J. Opt. Soc. Am. B 8, 95 (1991).
T. Catunda and L. A. Cury, J. Opt. Soc. Am. B 7, 1445 (1990).
Q. Wang Song, C. Zhang, R. B. Gross, and R. R. Birde, Opt. Commun. 112, 296 (1994).
Q. Wang Song, X. Wang, R. R. Birge, J. D. Downie, D. Timucin, and C. Gary, J. Opt. Soc. Am. B 15, 1602 (1998).
B. A. Naim, Chin. J. Phys. 55, 2384 (2017).
M. Liu, D. A. Powell, Y. Zarate, and I. V. Shadrivov, Phys. Rev. X 8, 031077 (2018).
Y. Jia, Y. Liao, L. Wu, Y. Shan, X. Dai, H. Cai, Y. Xiang, and D. Fan, Nanoscale 7, 4515 (2019).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by N. Wadhwa
Rights and permissions
About this article
Cite this article
Savotchenko, S.E. Self-Localization of Light Beams in a Medium with Instantaneous Kerr Nonlinearity Switching. J. Exp. Theor. Phys. 131, 679–688 (2020). https://doi.org/10.1134/S1063776120100076
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776120100076