A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-ravat et al., -Symmetry Breaking in Complex Optical Potentials, Physical Review Letters, vol.1, issue.9, p.93902, 2009.
DOI : 10.1063/1.3028651

URL : https://hal.archives-ouvertes.fr/in2p3-00464910

C. M. Bender and S. Boettcher, Symmetry, Physical Review Letters, vol.173, issue.24, p.5243, 1998.
DOI : 10.1016/0375-9601(93)90153-Q

URL : https://hal.archives-ouvertes.fr/in2p3-00577262

C. M. Bender, Making sense of non-Hermitian Hamiltonians, Reports on Progress in Physics, vol.70, issue.6, p.947, 2007.
DOI : 10.1088/0034-4885/70/6/R03

A. Lupu, H. Benisty, and A. Degiron, Switching using PT symmetry in plasmonic systems: positive role of the losses, Optics Express, vol.21, issue.18, p.21651, 2013.
DOI : 10.1364/OE.21.021651

URL : https://hal.archives-ouvertes.fr/hal-01349750

C. Huang, F. Ye, and X. Chen, -symmetric multimode waveguides, Physical Review A, vol.64, issue.4, p.43833, 2014.
DOI : 10.1016/S0375-9601(01)00301-2

URL : https://hal.archives-ouvertes.fr/in2p3-00010948

H. Benisty, A. Lupu, and A. Degiron, symmetry for modal demultiplexing in optical waveguides, Physical Review A, vol.91, issue.5, p.53825, 2015.
DOI : 10.1103/PhysRevB.51.13281

R. El-ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Theory of coupled optical PT-symmetric structures, Optics Letters, vol.32, issue.17, p.2632, 2007.
DOI : 10.1364/OL.32.002632

N. X. Rivolta and B. Maes, Diffractive switching by interference in a tailored PT-symmetric grating, Journal of the Optical Society of America B, vol.32, issue.7, p.1330, 2015.
DOI : 10.1364/JOSAB.32.001330

S. Phang, A. Vukovic, H. Susanto, T. M. Benson, and P. Sewell, Ultrafast optical switching using parity???time symmetric Bragg gratings, Journal of the Optical Society of America B, vol.30, issue.11, p.2984, 2013.
DOI : 10.1364/JOSAB.30.002984

]. H. Benisty, A. Degiron, A. Lupu, A. D. Lustrac, S. Chénais et al., Implementation of PT symmetric devices using plasmonics: principle and applications, Optics Express, vol.19, issue.19, p.18004, 2011.
DOI : 10.1364/OE.19.018004

URL : https://hal.archives-ouvertes.fr/hal-00683875

M. Kulishov and B. Kress, Free space diffraction on active gratings with balanced phase and gain/loss modulations, Optics Express, vol.20, issue.28, p.29319, 2012.
DOI : 10.1364/OE.20.029319

L. Feng, Z. J. Wong, R. Ma, Y. Wang, and X. Zhang, Single-mode laser by parity-time symmetry breaking, Science, vol.331, issue.6019, p.972, 2014.
DOI : 10.1126/science.1200735

B. Peng, S. K. Özdemir, S. Rotter, H. Yilmaz, M. Liertzer et al., Loss-induced suppression and revival of lasing, Science, vol.17, issue.16, p.328, 2014.
DOI : 10.1364/OE.17.014088

H. Ramezani, D. N. Christodoulides, V. Kovanis, I. Vitebskiy, and T. Kottos, -Symmetric Talbot Effects, Physical Review Letters, vol.11, issue.3, p.33902, 2012.
DOI : 10.1016/j.physrep.2008.04.004

URL : https://hal.archives-ouvertes.fr/hal-00598009

M. C. Zheng, D. N. Christodoulides, R. Fleischmann, and T. Kottos, optical lattices and universality in beam dynamics, Physical Review A, vol.82, issue.1, p.10103, 2010.
DOI : 10.1103/PhysRevB.38.10051

K. G. Makris, R. El-ganainy, D. N. Christodoulides, and Z. H. Musslimani, Symmetric Optical Lattices, Physical Review Letters, vol.1, issue.10, p.103904, 2008.
DOI : 10.1103/PhysRevLett.100.030402

A. V. Poshakinskiy, A. N. Poddubny, and A. Fainstein, -Symmetric Phononic Crystals, Physical Review Letters, vol.63, issue.22, p.224302, 2016.
DOI : 10.1063/1.102603

URL : https://hal.archives-ouvertes.fr/hal-01229140

A. Jazaeri and I. I. Satija, Localization transition in incommensurate non-Hermitian systems, Physical Review E, vol.1761, issue.3, p.36222, 2001.
DOI : 10.1103/PhysRevLett.55.2103

C. Hang, Y. V. Kartashov, G. Huang, and V. V. Konotop, Localization of light in a parity-time-symmetric quasi-periodic lattice, Optics Letters, vol.40, issue.12, p.2758, 2015.
DOI : 10.1364/OL.40.002758

X. Zhu, Defect states and exceptional point splitting in the band gaps of one-dimensional parity-time lattices, Optics Express, vol.23, issue.17, p.22274, 2015.
DOI : 10.1364/OE.23.022274

S. Longhi, D. Gatti, and G. D. Valle, Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field, Physical Review B, vol.92, issue.9, p.94204, 2015.
DOI : 10.1103/PhysRevA.91.063612

S. Phang, A. Vukovic, S. C. Creagh, P. D. Sewell, G. Gradoni et al., Localized Single Frequency Lasing States in a Finite Parity-Time Symmetric Resonator Chain, Scientific Reports, vol.84, issue.1, p.20499, 2016.
DOI : 10.1103/PhysRevB.84.195452

M. Z. Hasan and C. L. Kane, : Topological insulators, Reviews of Modern Physics, vol.70, issue.4, p.3045, 2010.
DOI : 10.1103/PhysRevB.65.245420

L. Lu, J. D. Joannopoulos, and M. Solja?i´solja?i´c, Topological photonics, Nature Photonics, vol.95, issue.11, p.821, 2014.
DOI : 10.1103/PhysRevLett.95.146802

D. Tanese, E. Gurevich, F. Baboux, T. Jacqmin, A. Lemaître et al., Fractal Energy Spectrum of a Polariton Gas in a Fibonacci Quasiperiodic Potential, Physical Review Letters, vol.112, issue.14, p.146404, 2014.
DOI : 10.1016/S0196-8858(82)80018-3

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. Verbin, O. Zilberberg, Y. E. Kraus, Y. Lahini, and Y. Silberberg, Observation of Topological Phase Transitions in Photonic Quasicrystals, Physical Review Letters, vol.3, issue.7, p.76403, 2013.
DOI : 10.1038/nphys2479

M. Verbin, O. Zilberberg, Y. Lahini, Y. E. Kraus, and Y. Silberberg, Topological pumping over a photonic Fibonacci quasicrystal, Physical Review B, vol.3, issue.6, p.64201, 2015.
DOI : 10.1103/PhysRevA.85.013807

A. Blanco-redondo, I. Andonegui, M. J. Collins, G. Harari, Y. Lumer et al., Topological Optical Waveguiding in Silicon and the Transition between Topological and Trivial Defect States, Physical Review Letters, vol.116, issue.16, p.163901, 2016.
DOI : 10.1103/PhysRevLett.111.243905

L. Lang, X. Cai, and S. Chen, Edge States and Topological Phases in One-Dimensional Optical Superlattices, Physical Review Letters, vol.3, issue.22, p.220401, 2012.
DOI : 10.1103/PhysRevLett.94.080403

H. Zhao, S. Longhi, and L. , Robust Light State by Quantum Phase Transition in Non-Hermitian Optical Materials, Scientific Reports, vol.4, issue.1, p.17022, 2015.
DOI : 10.1103/PhysRevX.4.031011

K. Esaki, M. Sato, K. Hasebe, and M. Kohmoto, Edge states and topological phases in non-Hermitian systems, Physical Review B, vol.51, issue.20, p.205128, 2011.
DOI : 10.1103/PhysRevA.75.032107

A. K. Harter, T. E. Lee, and Y. N. Joglekar, -breaking threshold in spatially asymmetric Aubry-Andr?? and Harper models: Hidden symmetry and topological states, Physical Review A, vol.3, issue.6, p.62101, 2016.
DOI : 10.1103/PhysRevLett.115.040402

URL : https://hal.archives-ouvertes.fr/hal-00763929

T. E. Lee, Anomalous Edge State in a Non-Hermitian Lattice, Physical Review Letters, vol.116, issue.13, p.133903, 2016.
DOI : 10.1088/1742-5468/2014/10/P10032

F. Baboux, E. Levy, A. Lemaître, C. Gómez, E. Galopin et al., Measuring topological invariants from generalized edge states in polaritonic quasicrystals, Physical Review B, vol.95, issue.16, p.161114, 2017.
DOI : 10.1017/S0143385798100457

N. X. Rivolta and B. Maes, Symmetry recovery for coupled photonic modes with transversal PT symmetry, Optics Letters, vol.40, issue.16, p.3922, 2015.
DOI : 10.1364/OL.40.003922

L. Ge, Y. D. Chong, and A. D. Stone, -symmetric photonic heterostructures, Physical Review A, vol.85, issue.2, p.23802, 2012.
DOI : 10.1103/PhysRevA.84.023820

URL : https://hal.archives-ouvertes.fr/in2p3-00564521

X. Fu, Y. Liu, P. Zhou, and W. Sritrakool, Perfect self-similarity of energy spectra and gap-labeling properties in one-dimensional Fibonacci-class quasilattices, Physical Review B, vol.93, issue.5, p.2882, 1997.
DOI : 10.1007/BF01308813

J. Bellissard, B. Iochum, E. Scoppola, and D. Testard, Spectral properties of one dimensional quasi-crystals, Communications in Mathematical Physics, vol.111, issue.3, p.527, 1989.
DOI : 10.1142/0391

Y. Liu, X. Fu, W. Deng, and S. Wang, Gap-labeling properties of the energy spectrum for one-dimensional Fibonacci quasilattices, Physical Review B, vol.34, issue.14, p.9216, 1992.
DOI : 10.1103/PhysRevB.34.5247

A. V. Poshakinskiy, A. N. Poddubny, and M. Hafezi, Phase spectroscopy of topological invariants in photonic crystals, Physical Review A, vol.3, issue.4, p.43830, 2015.
DOI : 10.1134/S1063783413050120

S. A. Skirlo, L. Lu, Y. Igarashi, Q. Yan, J. Joannopoulos et al., Experimental Observation of Large Chern Numbers in Photonic Crystals, Physical Review Letters, vol.115, issue.25, p.253901, 2015.
DOI : 10.1103/PhysRevLett.115.104302

N. X. Rivolta and B. Maes, Side-coupled resonators with parity-time symmetry for broadband unidirectional invisibility, Physical Review A, vol.94, issue.5, pp.53854-023864, 2016.
DOI : 10.1103/PhysRevB.59.R9007