R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations, Physical Review Letters, vol.81, issue.23, p.4756, 1999.
DOI : 10.1103/PhysRevLett.81.3383

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Diffraction Management, Physical Review Letters, vol.50, issue.9, p.1863, 2000.
DOI : 10.1103/PhysRevE.50.5020

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Anomalous Refraction and Diffraction in Discrete Optical Systems, Physical Review Letters, vol.83, issue.9, p.93901, 2002.
DOI : 10.1017/CBO9781139644181

R. Iwanow, D. A. May-arrioja, D. N. Christodoulides, G. I. Stegeman, Y. Min et al., Discrete Talbot Effect in Waveguide Arrays, Physical Review Letters, vol.55, issue.5, p.53902, 2005.
DOI : 10.1364/JOSA.55.000261

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, Broadband diffraction management and self-collimation of white light in photonic lattices, Physical Review E, vol.9, issue.6, p.66609, 2006.
DOI : 10.1103/PhysRevE.73.056608

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta et al., Observation of Dynamic Localization in Periodically Curved Waveguide Arrays, Physical Review Letters, vol.16, issue.24, p.243901, 2006.
DOI : 10.1088/0953-8984/11/23/307

I. L. Garanovich, A. Szameit, A. A. Sukhorukov, T. Pertsch, W. Krolikowski et al., Diffraction control in periodically curved two-dimensional waveguide arrays, Optics Express, vol.15, issue.15, p.9737, 2007.
DOI : 10.1364/OE.15.009737.m008

A. Szameit, I. L. Garanovich, M. Heinrich, A. Minovich, F. Dreisow et al., Observation of diffraction-managed discrete solitons in curved waveguide arrays, Physical Review A, vol.78, issue.3, p.31801, 2008.
DOI : 10.1364/OPEX.14.000254

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, Light propagation and localization in modulated photonic lattices and waveguides, Physics Reports, vol.518, issue.1-2, p.1, 2012.
DOI : 10.1016/j.physrep.2012.03.005

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Beam steering in waveguide arrays, Applied Physics Letters, vol.80, issue.18, p.3247, 2002.
DOI : 10.1364/OL.23.001701

F. Dreisow, Y. V. Kartashov, M. Heinrich, V. A. Vysloukh, A. Tünnermann et al., Spatial light rectification in an optical waveguide lattice, EPL (Europhysics Letters), vol.101, issue.4, p.44002, 2013.
DOI : 10.1209/0295-5075/101/44002

Y. V. Kartashov, V. A. Vysloukh, V. V. Konotop, and L. Torner, -symmetric photonic lattices: From beam rectification to dynamic localization, Physical Review A, vol.93, issue.1, p.13841, 2016.
DOI : 10.1364/OL.13.000672

URL : https://hal.archives-ouvertes.fr/in2p3-00413049

T. Oka and H. Aoki, Photovoltaic Hall effect in graphene, Physical Review B, vol.79, issue.8, p.81406, 2009.
DOI : 10.1103/PhysRevLett.99.236809

J. Inoue and A. Tanaka, Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems, Physical Review Letters, vol.105, issue.1, p.17401, 2010.
DOI : 10.1103/PhysRevB.76.045302

T. Kitagawa, T. Oka, A. Brataas, L. Fu, and E. Demler, Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels, Physical Review B, vol.84, issue.23, p.235108, 2011.
DOI : 10.1088/0953-8984/9/12/003

N. H. Lindner, G. Refael, and V. Galitski, Floquet topological insulator in semiconductor quantum wells, Nature Physics, vol.17, issue.6, pp.490-1008, 2011.
DOI : 10.1103/PhysRevA.80.063609

G. Jotzu, M. Messer, R. Desbuquois, M. Lebrat, T. Uehlinger et al., Experimental realization of the topological Haldane model with ultracold fermions, Nature, vol.106, issue.7526, p.237, 2014.
DOI : 10.1103/PhysRevLett.106.145302

T. Kitagawa, M. A. Broome, A. Fedrizzi, M. S. Rudner, E. Berg et al., Observation of topologically protected bound states in photonic quantum walks, Nature Communications, vol.12, p.882, 2012.
DOI : 10.1088/1367-2630/12/6/065010

M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky et al., Photonic Floquet topological insulators, Nature, vol.62, issue.7444, p.196, 2013.
DOI : 10.1103/PhysRevLett.62.2747

L. J. Maczewsky, J. M. Zeuner, S. Nolte, and A. Szameit, Observation of photonic anomalous Floquet topological insulators, Nature Communications, vol.8, p.13756, 2017.
DOI : 10.1038/ncomms13918

S. Mukherjee, A. Spracklen, M. Valiente, E. Andersson, P. Öhberg et al., Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice, Nature Communications, vol.8, p.13918, 2017.
DOI : 10.1103/PhysRevLett.114.245504

H. Sambe, Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field, Physical Review A, vol.51, issue.6, p.2203, 1973.
DOI : 10.1103/PhysRev.51.652

M. Pasek and Y. D. Chong, Network models of photonic Floquet topological insulators, Physical Review B, vol.89, issue.7, p.75113, 2014.
DOI : 10.1103/RevModPhys.81.109

C. Tauber and P. Delplace, Topological edge states in two-gap unitary systems: a transfer matrix approach, New Journal of Physics, vol.17, issue.11, p.115008, 2015.
DOI : 10.1088/1367-2630/17/11/115008

D. Carpentier, P. Delplace, M. Fruchart, and K. Gaw?dzki, Topological Index for Periodically Driven Time-Reversal Invariant 2D Systems, Physical Review Letters, vol.114, issue.10, p.106806, 2015.
DOI : 10.1038/nphys2063

M. Fruchart, Complex classes of periodically driven topological lattice systems, Physical Review B, vol.93, issue.11, p.115429, 2016.
DOI : 10.1017/CBO9780511623806

D. Carpentier, P. Delplace, M. , K. Gaw?dzki, and C. Tauber, Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals, Nuclear Physics B, vol.896, p.779, 2015.
DOI : 10.1016/j.nuclphysb.2015.05.009

J. K. Asbóth, B. Tarasinski, and P. Delplace, Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems, Physical Review B, vol.90, issue.12, p.125143, 2014.
DOI : 10.1103/PhysRevA.89.042327

T. Kitagawa, E. Berg, M. Rudner, and E. Demler, Topological characterization of periodically driven quantum systems, Physical Review B, vol.82, issue.23, pp.235114-1010, 2010.
DOI : 10.1103/PhysRevLett.49.405

D. J. Thouless, Quantization of particle transport, Physical Review B, vol.344, issue.10, p.6083, 1983.
DOI : 10.1098/rspa.1975.0095

Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Topological States and Adiabatic Pumping in Quasicrystals, Physical Review Letters, vol.3, issue.10, p.106402, 2012.
DOI : 10.1103/PhysRevB.83.245115

M. Lohse, C. Schweizer, O. Zilberberg, M. Aidelsburger, and I. Bloch, A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice, Nature Physics, vol.294, issue.4, p.350, 2015.
DOI : 10.1126/science.294.5543.823

M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Robust optical delay lines with topological protection, Nature Physics, vol.19, issue.11, p.907, 2011.
DOI : 10.1038/nature08293