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Optical and Quantum Electronics

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01.12.2023

Formation characteristics of dark solitons in photorefractive crystals having both linear and quadratic electro-optic effect simultaneously

verfasst von: Aavishkar Katti, Milind Pande

Erschienen in: Optical and Quantum Electronics | Ausgabe 13/2023

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Abstract

The temporal behavior and formation characteristics have been investigated for the first time in nonlinear optical media exhibiting photorefractive effect due to simultaneous linear and quadratic electro-optic effect. The space charge field which is a function of time is derived and hence leads to the time dependent wave equation satisfied by light beams in such novel photorefractive materials. The soliton width evolution and hence the evolution of the nonlinearity with time is investigated for different values of peak intensity ratio. The dark soliton formation does not show quasi steady state behaviour and only steady state solitons are formed. There is interplay between the linear and quadratic electro-optic effect that affects the formation of dark solitons. Finally, the effect of crystal temperature on the formation of dark solitons is studied. In a photorefractive crystal, the temperature modification results in consequent changes in dark irradiance and dielectric constant which has a profound effect on the time evolution of these dark solitons. A relevant example of 0.67PMN-0.33PT crystal has been considered for an illustration of our results.

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Ablowitz, M.J., Biondini, G., Ostrovsky, L.A.: Optical solitons: perspectives and applications. Chaos Interdiscip. J. Nonlinear Sci. 10(3), 471–474 (2000)MathSciNetCrossRefMATH

Agranat, A.J., Razvag, M., Balberg, M., Bitton, G.: Holographic gratings by spatial modulation of the Curie–Weiss temperaturein photorefractive K 1–x Li x Ta 1-y Nb y O 3:Cu, V. Phys. Rev. B 55(19), 12818–12821 (1997). https://doi.org/10.1103/PhysRevB.55.12818ADSCrossRef

Boardman, A.D., Bontemps, P.: Spatial solitons in photorefractive materials: a review. Ternary Multinary Compd. 481–489, (2020)

Bouchet, T., Marsal, N., Sciamanna, M., Wolfersberger, D.: Two dimensional airy beam soliton. Sci. Rep. 12(1), 9064 (2022)ADSCrossRef

Burger, S., et al.: Dark solitons in Bose–Einstein condensates. Phys. Rev. Lett. 83(25), 5198–5201 (1999). https://doi.org/10.1103/PhysRevLett.83.5198ADSCrossRef

Chauvet, M.: Temporal analysis of open-circuit dark photovoltaic spatial solitons. JOSA B 20(12), 2515–2522 (2003)ADSCrossRef

Chen, Z., Segev, M., Christodoulides, D.N.: Optical spatial solitons: historical overview and recent advances. Rep. Prog. Phys. 75(8), 086401 (2012). https://doi.org/10.1088/0034-4885/75/8/086401ADSCrossRef

Cheng, L., Partovi, A.: Temperature and intensity dependence of photorefractive effect in GaAs. Appl. Phys. Lett. 49(21), 1456–1458 (1986). https://doi.org/10.1063/1.97301ADSCrossRef

Christodoulides, D.N., Carvalho, M.I.: Bright, dark, and gray spatial soliton states in photorefractive media. J. Opt. Soc. Am. B 12(9), 1628 (1995). https://doi.org/10.1364/JOSAB.12.001628ADSCrossRef

Christodoulides, D.N., Singh, S.R., Carvalho, M.I., Segev, M.: Incoherently coupled soliton pairs in biased photorefractive crystals. Appl. Phys. Lett. 68(13), 1763–1765 (1996). https://doi.org/10.1063/1.116659ADSCrossRef

Colla, E.V., Yushin, N.K., Viehland, D.: Dielectric properties of (PMN)(1–x)(PT) x single crystals for various electrical and thermal histories. J. Appl. Phys. 83(6), 3298–3304 (1998)ADSCrossRef

Crosignani, B., Degasperis, A., Del Re, E., Di Porto, P., Agranat, A.J.: Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction. Phys. Rev. Lett. 82(8), 1664–1667 (1999). https://doi.org/10.1103/PhysRevLett.82.1664ADSCrossRef

Dai, C.-Q., Wang, Y.-Y.: Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals. Nonlinear Dyn. 102(3), 1733–1741 (2020)CrossRef

Del Re, E., et al.: One-dimensional steady-state photorefractive spatial solitons in centrosymmetric paraelectric KLTN. Opt. Lett. 23(1), 456–457 (1998). https://doi.org/10.1109/CLEO.1998.676492CrossRef

Fressengeas, N., Maufoy, J., Kugel, G.: Temporal behavior of bidimensional photorefractive bright spatial solitons. Phys. Rev. E 54(6), 6866–6875 (1996). https://doi.org/10.1103/PhysRevE.54.6866ADSCrossRef

Guan, W.-Y., Li, B.-Q.: Asymmetrical and self-similar structures of optical breathers for the Manakov system in photorefractive crystals and randomly birefringent fibers. Optik 194, 162882 (2019)ADSCrossRef

Hao, L., Wang, Q., Hou, C.: Spatial solitons in biased photorefractive materials with both the linear and quadratic electro-optic effects. J. Mod. Opt. 61(15), 1236–1245 (2014). https://doi.org/10.1080/09500340.2014.928379ADSCrossRef

Jiang, Q., Su, Y., Ma, Z., Chen, J.: Coherent interactions of multi-Airy–Gaussian beams in photorefractive media. J. Opt. 49(2), 224–229 (2020)CrossRef

Katti, A.: Coherently coupled solitons in photorefractive media due to pyroelectric effect. J. Nonlinear Opt. Phys. Mater. 26(04), 1750044 (2017). https://doi.org/10.1142/S0218863517500448ADSCrossRef

Katti, A.: Bright screening solitons in a photorefractive waveguide. Opt. Quant. Electron. 50(6), 263 (2018). https://doi.org/10.1007/s11082-018-1524-yCrossRef

Katti, A.: Temporal behaviour of bright solitons in photorefractive crystals having both the linear and quadratic electro-optic effect. Chaos Solitons Fractals 126, 23–31 (2019)ADSMathSciNetCrossRef

Katti, A.: Manakov solitons in unbiased photorefractive materials with both the pyroelectric effect and photovoltaic effect. Phys. Lett. A 458, 128590 (2023)MathSciNetCrossRefMATH

Katti, A., Yadav, R.A.: Coupling effects for grey separate spatial solitons in a biased series photorefractive crystal circuit with both the linear and quadratic electro-optic effects. Opt. Quant. Electron. 49(1), 36 (2017). https://doi.org/10.1007/s11082-016-0887-1CrossRef

Katti, A.: Effect of Temperature on Incoherently Coupled Dark-Bright Soliton Pair in Photorefractive Crystals. In: Optical and Wireless Technologies, pp. 21–26. Springer, Berlin (2022)CrossRef

Keqing, L., Tiantong, T., Yanpeng, Z.: One-dimensional steady-state spatial solitons in photovoltaic photorefractive materials with an external applied field. Phys. Rev. A 61(5), 053822 (2000). https://doi.org/10.1103/PhysRevA.61.053822ADSCrossRef

Keqing, L., Yanpeng, Z., Tiantong, T., Bo, L.: Incoherently coupled steady-state soliton pairs in biased photorefractive-photovoltaic materials. Phys. Rev. E Stat. Nonlinear Soft Matter. Phys. 64(5 II), 056603/1-056603/39 (2001). https://doi.org/10.1103/PhysRevE.64.056603ADSCrossRef

Kukhtarev, N.V., Markov, V.B., Odulov, S.G., Soskin, M.S., Vinetskii, V.L.: Holographic storage in electrooptic crystals. i. steady state. Ferroelectrics 22(1), 949–960 (1978). https://doi.org/10.1080/00150197908239450ADSCrossRef

Kumari, B., Katti, A., Alvi, P.A.: Coupling of optical spatial solitons in photorefractive multiple quantum well planar waveguide. Optik 183, 1048–1060 (2019). https://doi.org/10.1016/j.ijleo.2019.02.106ADSCrossRef

Kuznetsov, E.A.: Solitons in a parametrically unstable plasma. Dokl. Akad. Nauk SSSR 236, 575–577 (1977)ADS

Lei, Z., Ke-Qing, L., Mei-Zhi, Z., Xue-Min, L., Yan-Peng, Z.: Temporal development of open-circuit bright photovoltaic solitons. Chin. Phys. B 17(7), 2539 (2008)ADSCrossRef

Lu, K., et al.: Temporal development of spatial solitons in biased photorefractive-photovoltaic materials. J. Mod. Opt. 55(10), 1571–1585 (2008)ADSCrossRefMATH

Lu, Y., Cheng, Z.-Y., Park, S.-E., Liu, S.-F., Zhang, Q.: Linear electro-optic effect of 0.88Pb(Zn 1/3 Nb2/3 O3)–0.12PbTiO3 Single Crystal. JPN J. Appl. Phys. 39(1), 141–145 (2000). https://doi.org/10.1143/JJAP.39.141ADSCrossRef

Malik, H.K.: Ion acoustic solitons in a relativistic warm plasma with density gradient. IEEE Trans. Plasma Sci. 23(5), 813–815 (1995). https://doi.org/10.1109/27.473199ADSCrossRef

Mou, D.-S., Fang, J.-J., Dai, C.-Q., Wang, Y.-Y.: Photovoltaic spatial solitons and periodic waves in a photovoltaic crystal. Optik 227, 165396 (2021)ADSCrossRef

Nolte, D.D.: Photorefractive Effects and Materials. Springer Science & Business Media, New York (2013)

Pierangeli, D., Di Mei, F., Conti, C., Agranat, A.J., DelRe, E.: Spatial rogue waves in photorefractive ferroelectrics. Phys. Rev. Lett. 115(9), 093901 (2015)ADSCrossRef

Del Re, E., Tamburrini, M., Segev, M., Della Pergola, R., Agranat, A.J.: Spontaneous self-trapping of optical beams in metastable paraelectric crystals. Phys. Rev. Lett. 83(10), 1954–1957 (1999). https://doi.org/10.1103/PhysRevLett.83.1954ADSCrossRef

Segev, M., Agranat, A.J.: Spatial solitons in centrosymmetric photorefractive media. Opt. Lett. 22(17), 1299–1301 (1997). https://doi.org/10.1364/OL.22.001299ADSCrossRef

Segev, M., Valley, G.C., Crosignani, B., Diporto, P., Yariv, A.: Steady-state spatial screening solitons in photorefractive materials with external applied field. Phys. Rev. Lett. 73(24), 3211 (1994)ADSCrossRef

Stegeman, G.I.: Optical spatial solitons and their interactions: universality and diversity. Science 286(5444), 1518–1523 (1999). https://doi.org/10.1126/science.286.5444.1518CrossRef

Su, Y., Jiang, Q., Ji, X., Wang, J.: Incoherently coupled spatial soliton families in photorefractive polymers. Opt. Lasers Eng. 49, 526–529 (2011). https://doi.org/10.1016/j.optlaseng.2011.01.001CrossRefMATH

Trillo, S., Torruellas, W. E. Eds., Spatial Solitons, Springer Series in Optical Sciences, vol. 31. Springer, Berlin, (2001). [Online]. Available: https://books.google.co.in/books?hl=en&lr=&id=xy4ICQAAQBAJ&oi=fnd&pg=PR17&dq=s+trillo+spatial+solitons&ots=X3NxpWRdi0&sig=uuoSYxa091_6LCZFaufJP3CbWZo

van Raalte, J.A.: Linear electro-optic effect in ferroelectric KTN. J. Opt. Soc. Am. 57(5), 671 (1967). https://doi.org/10.1364/JOSA.57.000671ADSCrossRef

Wan, X., Wang, D.Y., Zhao, X., Luo, H., Chan, H.L.W., Choy, C.L.: Electro-optic characterization of tetragonal (1 K x ) Pb ( Mg 1 / 3 Nb 2 / 3) O 3–x PbTiO 3 single crystals by a modified ´ narmont setup Se. Solid State Commun. 134(8), 547–551 (2005). https://doi.org/10.1016/j.ssc.2005.02.033ADSCrossRef

Wang, Q., Hao, L., Tang, H., Hou, C: for L. Optics, electron, and undefined 2017, Manakov solitons in photorefractive crystals with both the linear and quadratic electro-optic effects due to the two-photon photorefractive effect,” Elsevier, [Online]. Available: http://www.sciencedirect.com/science/article/pii/S0030402617303984

Wei, Z., Huang, Y., Tsuboi, T., Nakai, Y., Zeng, J., Li, G.: Optical characteristics of Er3+-doped PMN–PT transparent ceramics. Ceram. Int. 38(4), 3397–3402 (2012)CrossRef

Wu, J., Keolian, R., Rudnick, I.: Observation of a nonpropagating hydrodynamic soliton. Phys. Rev. Lett. 52(16), 1421–1424 (1984). https://doi.org/10.1103/PhysRevLett.52.1421ADSCrossRef

Yan, L.F., Jin, Q.L., Zhang, D., Zhang, Y.J.: Interactions of dark solitons in photovoltaic photorefractive crystals with diffusion nonlinearity. Opt. Commun. 284(6), 1682–1685 (2011)ADSCrossRef

Zhan, K., Hou, C., Pu, S.: Temporal behavior of spatial solitons in centrosymmetric photorefractive crystals. Opt. Laser Technol. 43(7), 1274–1278 (2011)ADSCrossRef

Zhang, R., Jiang, B., Cao, W.: Elastic, piezoelectric, and dielectric properties of multidomain 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3 single crystals. J. Appl. Phys. 90(7), 3471–3475 (2001). https://doi.org/10.1063/1.1390494ADSCrossRef

Zhang, M., Huo, G., Zhong, H., Hui, Z.: Interactions between self-accelerating beams in photorefractive media. Opt. Express 25(18), 22104–22112 (2017)ADSCrossRef

Zhang, Z.-X., et al.: Generation and manipulation of bright spatial bound-soliton pairs under the diffusion effect in photovoltaic photorefractive crystals. Chin. Phys. B 29(10), 104208 (2020)ADSCrossRef

Titel: Formation characteristics of dark solitons in photorefractive crystals having both linear and quadratic electro-optic effect simultaneously
verfasst von: Aavishkar Katti
Milind Pande
Publikationsdatum: 01.12.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 13/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05424-1

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