Abstract
Photorefractive solitons have been studied in a waveguide that is made of centrosymmetric material. The dynamical equations pertaining to characteristics of solitons have been derived under paraxial ray and Wentzel–Kramers–Brillouin (WKB) approximations. It has been predicted that the planar waveguide structure enhances self-focusing effect and reduces the threshold power requirement for soliton formation. The waveguide that is embedded in the photorefractive crystal leads to the trapping of low power solitary wave which otherwise would not have formed spatial solitons at this low power in this material. The minimum requirement of power for self-trapping in the material decreases with the increase in the value of waveguide co-efficient. The existence of bistable states has also been predicted.
Similar content being viewed by others
References
A. Hasegawa, Y.K. Kodama, Solitons in Optical Communications (Clarendon, Oxford, 1995)
L.F. Mollenaur, R.G. Stolen, J.P. Gordon, Experimental observation of picoseconds pulsenarrowing and solitons in optical fibers. Phys. Rev. Lett. 45, 1095 (1980)
Y.S. Kivshar, G.P. Agrawal, Optical Solitons: Fibers to Photonic Crystals (Academic Press, San Diego, 2003)
S. Medhekar, S. Konar, M.S. Sodha, Self-tapering of elliptic Gaussian beams in an elliptic-core nonlinear fiber. Opt. Lett. 20, 2192 (1995)
S. Konar, M. Mishra, Nonlinear evolution of cosh-Gaussian laser beams and laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media. Phys. Lett. A 362, 505–510 (2007)
M.S. Sodha, S. Konar, K.P. Maheshwari, Steady-state self-focusing of rippled laser beams in plasmas; arbitrary nonlinearity. J. Plasma Phys. 48, 107–118 (1992)
M. Mishra, S. Konar, High bit rate dense dispersion managed optical communication systems with distributed amplification. Prog. Electromag. Res. 78, 301–320 (2008)
M. Segev, B. Crosignani, A. Yariv, B. Fischer, Spatial solitons in photorefractive media. Phys. Rev. Lett. 68, 923–927 (1992)
G.C. Duree, J.L. Slultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R.R. Neurgaonkar, Observation of self-trapping of an optical beam due to th photorefractive effect. Phys. Rev. Lett. 71, 533 (1993)
S. Shwetanshumala, S. Jana, S. Konar, Propagation of a mixture of modes of a laser beam in a medium with saturable nonlinearity. J. Electromag. Waves Appl. 20, 2193 (2006)
S. Konar, S. Jana, M. Mishra, Induced focusing and all optical switching in cubic quintic nonlinear media. Opt. Commun. 255, 114–129 (2005)
D.N. Christodoulides, M.I. Carvalho, Bright, dark, and gray spatial soliton states in photorefractive media. J. Opt. Soc. Am. B 12, 1628–1633 (1995)
P. Gunter, J.P. Huignard, Topics in Applied Physics in Photorefractive Materials and Their Application I and II (Springer, Berlin, 1998)
S. Lan, E. Del Re, Z. Chen, M. Shh, M. Segev, Directional coupler with soliton-induced waveguides. Opt. Lett. 24, 475–477 (1999)
G.C. Valley, M. Segev, B. Crosignani, A. Yariv, M.M. Fejer, M.C. Bashaw, Dark and bright photovoltaic spatial solitons. Phys. Rev. A 50, R4457 (1994)
N. Asif, S. Shwetanshumala, S. Konar, Photovoltaic spatial soliton pairs in two-photon photorefractive materials. Phys. Lett. A 372(5), 735–740 (2008)
G. Zhang, J. Liu, Screening-photovoltaic spatial solitons inbiased two-photon photovoltaic photorefractive crystals. J. Opt. Soc. Am. B 26, 113–120 (2009)
S. Konar, S. Shekhar, W.P. Hong, Incoherently coupled two component screening photovoltaic solitons in two-photon photorefractive materials under the action of external field. Opt. Laser Tech. 42, 1294–1300 (2010)
J.S. Liu, K. Lu, Screening-photovoltaic spatial solitons in biased photovoltaic-photorefractive crystals and their self-defection. J. Opt. Soc. Am. B 16, 550–555 (1999)
S. Konar, S. Jana, S. Shwetanshumala, Incoherently coupled screening photovoltaic spatial solitons in a biased photovoltaic photo refractive crystals. Opt. Commun. 273, 324–333 (2007)
M. Segev, A.J. Agranat, Spatial solitons in centrosymmetric photorefractive media. Opt. Lett. 22, 1299–1301 (1997)
E. Del Re, B. Crosignani, M. Tamburrini, M. Segev, M. Mitchell, E. Refaeli, A.J. Agranat, One-dimensional steady-state photorefractive spatial solitons in centrosymmetric paraelectric potassium lithium tantalate niobate. Opt. Lett. 23, 421–423 (1998)
E. Del Re, M. Tamburrini, M. Segev, E. Refaeli, A.J. Agrabat, Two dimensional photorefractive spatial solitons in centrosymmetric paraelectric potassium-lithium-tantalate-niobate. Appl. Phys. Lett. 73, 16–18 (1998)
S. Konar, A. Biswas, Properties of optical spatial solitons in photorefractive crystals with Special emphasis to two-photon photorefractive nonlinearity. Opt. Mater. 35, 2581–2603 (2013)
Z. Chen, M. Segev, D.N. Christodoulides, Optical spatial solitons: historical overview and recent advandances. Rep. Prog. Phys. 75, 086401 (2012)
S. Shwetanshumala, S. Konar, Bright optical spatial solitons in photorefractive waveguides. Phys. Scr. 82, 045404 (2010)
N. Kukhtarev, V.B. Markov, S.G. Odulov, M.S. Soskin, V.L. Vinetskii, Holographic storage in electro optic crystals. I. Steady state. Ferroelectrics 22, 949 (1979)
S.A. Akhmanov, A.P. Sukhorukov, R.V. Khokhlov, Self-focusing and diffraction of light in a nonlinear medium. Phys. Uspekhi 10, 609–636 (1968)
S. Konar, A. Sengupta, J. Opt. Soc. Am B 11, 1644 (1994)
D. Anderson, Variational approach to nonlinear pulse propagation in optical fibers. Phys. Rev. A 27, 3135 (1983)
S.N. Vlasov, V.A. Petrischev, V.I. Talanov, Radio physics quantum electron. Sov. Radio Phys. 14, 1062 (1971)
G. Keiser, Optical Fiber Communications (The McGraw-Hill Companies, Inc., New York, 2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Akhouri, B.P., Gupta, P.K. Waveguiding effect on optical spatial solitons in centrosymmetric photorefractive materials. J Opt 46, 281–286 (2017). https://doi.org/10.1007/s12596-016-0372-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12596-016-0372-z