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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 11/2018

01.11.2018

Vortex dynamics of counterpropagting laser beams in photorefractive materials

verfasst von: Mihailo Čubrović, Milan Petrović

Erschienen in: Optical and Quantum Electronics | Ausgabe 11/2018

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Abstract

We study vortex patterns of counterpropagating laser beams in a photorefractive crystal, with or without the background photonic lattice. The vortices are effectively planar and have two “flavors” because there are two opposite directions of beam propagation. In a certain parameter range, the vortices form stable equilibrium configurations which we study using the methods of statistical field theory and generalize the Berezinsky–Kosterlitz–Thouless transition of the XY model to the “two-flavor” case. In the nonequilibrium regime, the patterns exhibit an Andronov–Hopf bifurcation which may lead to oscillations (limit cycle), chaos or decay to zero intensity due to radiation losses. We show how to identify various pathways toward instability from intensity patterns, i.e. from experiment.
Vorheriger Artikel Analyze and calculation of coupling coefficient based on evanescence field for plasmonic directional coupler structure
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Fußnoten
1
One might also worry that a realistic crystal is anisotropic, while our equation is isotropic. Nevertheless, comparison to experiment (Neshev et al. 2004; Fleischer et al. 2004; Dreischuh et al. 2002) shows that this model is able to describe actual measurements rather well. Also, the effects of anisotropy can be suppressed in experiment by illuminating the crystal by uniform light for very long times before starting the experiment (Cohen et al. 2002).
 
2
There is no difference between upper and lower indices as both flavors always enter the sum with positive sign.
 
3
The boldface vectors are the coordinate vectors in the plane.
 
4
Negative sign means the fixed point is stable everywhere before the bifurcation and is replaced by a stable limit cycle after the bifurcation (supercritical). Positive sign means the fixed point coexists with the stable limit cycle before the bifurcation and the \((X_1,X_5)\) plane is divided among their attraction regions; after the bifurcation there is no stable solution at all (subcritical). However, one should not take the stability in the whole \((X_1,X_5)\) plane in the supercritical case too seriously. We have expand the equations of motion in the vicinity of the fixed points and the expansion ceases to be valid far away from the origin.
 
Literatur
Alexander, T.J., Desyatnikov, A.S., Kivshar, Y.S.: Multivortex solitons in triangular photonic lattices. Opt. Lett. 32, 1293–1295 (2007)ADSCrossRef
Anderson, P.W.: Two new vortex liquids. Nat. Phys. 3, 160–162 (2007)CrossRef
Antenucci, F., Conti, C., Crisanti, A., Leuzzi, L.: General phase diagram of multimodal ordered and disordered lasers in closed and open cavities. Phys. Rev. Lett. 114, 043901 (2015a)ADSCrossRef
Antenucci, F., Crisanti, A., Leuzzi, L.: Complex spherical \(2+4\) spin glass: a model for nonlinear optics in random media. Phys. Rev. A 91, 053816 (2015b)ADSCrossRef
Arnol’d, V.I., Afraymovich, V.S., Il’yashenko, Y.S., Shil’nikov, L.P.: Bifurcation Theory and Catastrophe Theory. Springer, Berlin (1994)
Bagnato, V.S., Frantzeskakis, D.J., Kevrekidis, P.G., Malomed, B.A., Mihalache, D.: Bose–Einstein condensation: twenty years after. Rom. Rep. Phys. 67, 5–50 (2015)
Berezinsky, V.L.: Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. 1. Classical systems. Sov. Phys. JETP 32, 493–500 (1971)ADSMathSciNet
Cardy, J.L., Ostlund, S.: Random symmetry-breaking fields and the XY model. Phys. Rev. B 25, 6899–6909 (1982)ADSCrossRef
Cohen, O., Lan, S., Harmon, T., Giordmaine, J.A., Segev, M.: Spatial vector solitons consisting of counterpropagating fields. Opt. Lett. 27, 2013–2015 (2002)ADSCrossRef
Cross, M., Hohenberg, P.: Pattern formation outside of equilibrium. Rev. Mod. Phys. 65, 851–1112 (1993)ADSCrossRef
Čubrović, M., Petrović, M.: Quantum criticality in photorefractive optics: vortices in laser beams and antiferromagnets. Phys. Rev. A 96, 053824 (2017). arXiv:​1701.​03451 [physics.optics]ADSCrossRef
Denz, C., Schwab, M., Weilnau, C.: Transverse Pattern Formation in Photorefractive Optics. Springer, Berlin (2003)CrossRef
Dreischuh, E., Chervenkov, S., Neshev, D., Paulus, G.G., Walther, H.: Generation of lattice structures of optical vortices. J. Opt. Soc. Am. B 19, 550–556 (2002)ADSCrossRef
Fetter, A.L.: Rotating trapped Bose–Einstein condensates. Rev. Mod. Phys. 81, 647–691 (2009)ADSCrossRef
Fleischer, J.W., Bartal, G., Cohen, O., Manela, O., Segev, M., Hudock, J., Christodoulides, D.N.: Observation of vortex-ring “discrete” solitons in 2D photonic lattices. Phys. Rev. Lett. 92, 123904 (2004)ADSCrossRef
Jović, D.M., Petrović, M.S., Belić, M.R.: Counterpropagating pattern dynamics: from narrow to broad beams. Opt. Commun. 281, 2291–2300 (2008)ADSCrossRef
Kosterlitz, J., Thouless, D.: The Kosterlitz–Thouless phase in a hierarchical model. J. Phys. C 6, 1181–1203 (1973)ADSCrossRef
Ma, X., Driben, R., Malomed, B., Meoer, T., Schumacher, S.: Two-dimensional symbiotic solitons and vortices in binary condensates with attractive cross-species interaction. Nat. Sci. Rep. 6, 34847 (2016). arXiv:​1606.​08579 [physics.optics]ADSCrossRef
Malomed, B., Torner, L., Wise, F., Mihalache, D.: On multidimensional solitons and their legacy in contemporary atomic, molecular and optical physics. J. Phys. B: At. Mol. Opt. Phys. 49, 170502 (2016)ADSCrossRef
Neshev, D.N., Alexander, T.J., Ostrovskaya, E.A., Kivshar, Y.S.: Observation of discrete vortex solitons in opticlly induced photonic lattices. Phys. Rev. Lett 92, 123903 (2004)ADSCrossRef
Perret, A., Ristivojevic, Z., Le Doussal, P., Schehr, G., Wiese, K.: Super-rough glassy phase of the random field XY model in two dimensions. Phys. Rev. Lett. 109, 157205 (2012). arXiv:​1204.​5685 [cond-mat.dis-nn]ADSCrossRef
Petrović, M.S., Belić, M.R., Denz, C., Kivshar, YuS: Counterpropagating optical beams and solitons. Lasers Photonic Rev. 5, 214–233 (2011). arXiv:​0910.​4700 [physics.optics]
Petrović, M., Jović, D., Belić, M., Schröder, J., Jander, P., Denz, C.: Two dimensional counterpropagating spatial solitons in photorefractive crystals. Phys. Rev. Lett 95, 053901 (2005)ADSCrossRef
Rabinovich, M.I., Ezersky, A.B., Weidman, P.D.: The Dynamics of Patterns. World Scientific, Singapore (2000)CrossRef
Rechtsman, M.C., Zeuner, J.M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., Szameit, A.: Photonic Floquet topological insulators. Nature 496, 196–200 (2013). arXiv:​1212.​3146 [physics]ADSCrossRef
Sandfuchs, O., Kaiser, F., Belić, M.R.: Self-organization and Fourier selection of optical patterns in a nonlinear photorefractive feedback system. Phys. Rev. A 64, 063809 (2001)ADSCrossRef
Silaev, M., Babev, E.: Microscopic derivation of two-component Ginzburg–Landau model and conditions of ots applicability in two-band systems. Phys. Rev. B 85, 134514 (2012). arXiv:​1110.​1593 [cond-mat.supr-con]ADSCrossRef
Terhalle, B., Richter, T., Desyatnikov, A.S., Neshev, D.N., Krolikowski, W., Kaiser, F., Denz, C., Kivshar, Y.S.: Observation of multivortex solitons in photonic lattices. Phys. Rev. Lett 101, 013903 (2008)ADSCrossRef
Metadaten
Titel
Vortex dynamics of counterpropagting laser beams in photorefractive materials
verfasst von
Mihailo Čubrović
Milan Petrović
Publikationsdatum
01.11.2018
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 11/2018
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-018-1667-x

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