Y. Shimotsuma, P. G. Kazansky, J. Qiu, and K. Hirao, Self-Organized Nanogratings in Glass Irradiated by Ultrashort Light Pulses, Physical Review Letters, vol.91, issue.24, p.247405, 2003.
DOI : 10.1103/PhysRevLett.91.247405

V. R. Bhardwaj, E. Simova, P. P. Rajeev, C. Hnatovsky, R. S. Taylor et al., Optically Produced Arrays of Planar Nanostructures inside Fused Silica, Physical Review Letters, vol.96, issue.5, p.57404, 2006.
DOI : 10.1103/PhysRevLett.96.057404

P. G. Kazansky, W. Yang, E. Bricchi, J. Bovatsek, A. Arai et al., ???Quill??? writing with ultrashort light pulses in transparent materials, Applied Physics Letters, vol.90, issue.15, p.151120, 2007.
DOI : 10.1063/1.2722240

R. Taylor, C. Hnatovsky, and E. Simova, Applications of femtosecond laser induced self-organized planar nanocracks inside fused silica glass, Laser & Photonics Review, vol.32, issue.110, p.26, 2008.
DOI : 10.1002/lpor.200710031

C. Mauclair, M. Zamfirescu, J. P. Colombier, G. Cheng, K. Mishchik et al., Control of ultrafast laser-induced bulk nanogratings in fused silica via pulse time envelopes, Optics Express, vol.20, issue.12, p.12997, 2012.
DOI : 10.1364/OE.20.012997
URL : https://hal.archives-ouvertes.fr/ujm-00701394

S. Richter, M. Heinrich, S. Döring, A. Tünnermann, S. Nolte et al., Nanogratings in fused silica: Formation, control, and applications, Journal of Laser Applications, vol.24, issue.4, p.42008, 2012.
DOI : 10.2351/1.4718561

M. Hörstmann-jungemann, J. Gottmann, and D. Wortmann, Nano- and Microstructuring of SiO2 and Sapphire with Fs-laser Induced Selective Etching, Journal of Laser Micro/Nanoengineering, vol.4, issue.2, p.135, 2009.
DOI : 10.2961/jlmn.2009.02.0011

F. Zhang, H. Zhang, G. Dong, and J. Qiu, Embedded nanogratings in germanium dioxide glass induced by femtosecond laser direct writing, Journal of the Optical Society of America B, vol.31, issue.4, p.860, 2014.
DOI : 10.1364/JOSAB.31.000860

M. S. Ahsan, Y. G. Kim, and M. S. Lee, Formation mechanism of nanostructures in soda???lime glass using femtosecond laser, Journal of Non-Crystalline Solids, vol.357, issue.3, p.851, 2011.
DOI : 10.1016/j.jnoncrysol.2010.11.006

M. Lancry, R. Desmarchelier, F. Zimmermann, N. Guth, F. Brisset et al., Advanced Photonics, pp.2-2

M. Lancry, J. Canning, K. Cook, M. Heili, D. R. Neuville et al., Nanoscale femtosecond laser milling and control of nanoporosity in the normal and anomalous regimes of GeO_2-SiO_2 glasses, Optical Materials Express, vol.6, issue.2, p.321, 2016.
DOI : 10.1364/OME.6.000321

C. Hnatovsky, V. Shvedov, W. Krolikowski, and A. Rode, Revealing Local Field Structure of Focused Ultrashort Pulses, Physical Review Letters, vol.106, issue.12, p.123901, 2011.
DOI : 10.1103/PhysRevLett.106.123901

Y. Dai, G. Wu, X. Lin, G. Ma, and J. Qiu, Femtosecond laser induced rotated 3D self-organized nanograting in fused silica, Optics Express, vol.20, issue.16, p.18072, 2012.
DOI : 10.1364/OE.20.018072

S. Richter, M. Heinrich, S. Döring, A. Tünnermann, and S. Nolte, Formation of femtosecond laser-induced nanogratings at high repetition rates, Applied Physics A, vol.16, issue.2, p.503, 2011.
DOI : 10.1007/s00339-011-6489-7

Y. Liao, W. Pan, Y. Cui, L. Qiao, Y. Bellouard et al., Formation of in-volume nanogratings with sub-100-nm periods in glass by femtosecond laser irradiation, Optics Letters, vol.40, issue.15, p.3623, 2015.
DOI : 10.1364/OL.40.003623

Y. Shimotsuma, M. Sakakura, P. G. Kazansky, M. Beresna, J. Qiu et al., Ultrafast Manipulation of Self-Assembled Form Birefringence in Glass, Advanced Materials, vol.298, issue.36, p.4039, 2010.
DOI : 10.1002/adma.201000921

M. Beresna, M. Gecevi?ius, and P. G. Kazansky, Polarization sensitive elements fabricated by femtosecond laser nanostructuring of glass [Invited], Optical Materials Express, vol.1, issue.4, p.783, 2011.
DOI : 10.1364/OME.1.000783

W. Cai, A. R. Libertun, and R. Piestun, Polarization selective computer-generated holograms realized in glass by femtosecond laser induced nanogratings, Optics Express, vol.14, issue.9, p.3785, 2006.
DOI : 10.1364/OE.14.003785.m001

C. Hnatovsky, R. Taylor, E. Simova, P. Rajeev, D. Rayner et al., Fabrication of microchannels in glass using focused femtosecond laser radiation and selective chemical etching, Applied Physics A, vol.19, issue.1-2, p.47, 2006.
DOI : 10.1007/s00339-006-3590-4

M. Beresna, M. Gecevi?ius, P. G. Kazansky, and T. Gertus, Radially polarized optical vortex converter created by femtosecond laser nanostructuring of glass, Applied Physics Letters, vol.98, issue.20, p.201101, 2011.
DOI : 10.1063/1.3590716

F. Liang, J. Bouchard, S. Leang-chin, and R. Vallée, Defect-assisted local field rearrangement during nanograting formation with femtosecond pulses, Applied Physics Letters, vol.107, issue.6, p.61903, 2015.
DOI : 10.1063/1.4928551

F. Liang, Q. Sun, D. Gingras, R. Vallée, and S. L. Chin, The transition from smooth modification to nanograting in fused silica, Applied Physics Letters, vol.96, issue.10, p.101903, 2010.
DOI : 10.1063/1.3358120

F. Liang, R. Vallée, D. Gingras, and S. L. Chin, Role of ablation and incubation processes on surface nanograting formation, Optical Materials Express, vol.1, issue.7, p.1244, 2011.
DOI : 10.1364/OME.1.001244

F. Liang, R. Vallée, and S. L. Chin, Mechanism of nanograting formation on the surface of fused silica, Optics Express, vol.20, issue.4, p.4389, 2012.
DOI : 10.1364/OE.20.004389

S. Richter, F. Jia, M. Heinrich, S. Döring, U. Peschel et al., The role of self-trapped excitons and defects in the formation of nanogratings in fused silica, Optics Letters, vol.37, issue.4, p.482, 2012.
DOI : 10.1364/OL.37.000482

M. Beresna, M. Gecevi?ius, P. G. Kazansky, T. Taylor, and A. V. Kavokin, Exciton mediated self-organization in glass driven by ultrashort light pulses, Applied Physics Letters, vol.101, issue.5, p.53120, 2012.
DOI : 10.1063/1.4742899

R. Buividas, L. Rosa, R. Sliupas, T. Kudrius, G. Slekys et al., Mechanism of fine ripple formation on surfaces of (semi)transparent materials via a half-wavelength cavity feedback, Nanotechnology, vol.22, issue.5, p.55304, 2011.
DOI : 10.1088/0957-4484/22/5/055304

E. S. Efimenko, A. V. Kim, and M. Quiroga-teixeiro, Ionization-induced dynamics of laser-matter interaction in a focused laser pulse: A comparative analysis, Physics of Plasmas, vol.18, issue.3, p.32107, 2011.
DOI : 10.1063/1.3558726

N. M. Bulgakova, V. P. Zhukov, and Y. P. Meshcheryakov, Theoretical treatments of ultrashort pulse laser processing of transparent materials: toward understanding the volume nanograting formation and ???quill??? writing effect, Applied Physics B, vol.7, issue.155, p.437, 2013.
DOI : 10.1007/s00340-013-5488-0

N. M. Bulgakova, V. P. Zhukov, S. V. Sonina, and Y. P. Meshcheryakov, Modification of transparent materials with ultrashort laser pulses: What is energetically and mechanically meaningful?, Journal of Applied Physics, vol.118, issue.23, p.233108, 2015.
DOI : 10.1063/1.4937896

R. L. Harzic, D. Dörr, D. Sauer, M. Neumeier, M. Epple et al., Large-area, uniform, high-spatial-frequency ripples generated on silicon using a nanojoule-femtosecond laser at high repetition rate, Optics Letters, vol.36, issue.2, p.229, 2011.
DOI : 10.1364/OL.36.000229

A. P. Singh, A. Kapoor, K. Tripathi, and G. Kumar, Laser damage studies of silicon surfaces using ultra-short laser pulses, Optics & Laser Technology, vol.34, issue.1, p.37, 2002.
DOI : 10.1016/S0030-3992(01)00090-1

V. S. Makin and R. S. Makin, Interaction of laser radiation with an axially symmetric polarization with condensed media, Optics and Spectroscopy, vol.115, issue.4, p.591, 2013.
DOI : 10.1134/S0030400X13070102

B. Poumellec, M. Lancry, R. Desmarchelier, E. Hervé, F. Brisset et al., Asymmetric Orientational Writing in glass with femtosecond laser irradiation, Optical Materials Express, vol.3, issue.10, p.1586, 2013.
DOI : 10.1364/OME.3.001586
URL : https://hal.archives-ouvertes.fr/hal-00926558

N. Bulgakova and V. Zhukov, Continuum Models of Ultrashort Laser???Matter Interaction in Application to Wide-Bandgap Dielectrics, Lasers in Materials Science, pp.101-124
DOI : 10.1007/978-3-319-02898-9_5

A. Couairon, L. Sudrie, M. Franco, B. Prade, and A. Mysyrowicz, Filamentation and damage in fused silica induced by tightly focused femtosecond laser pulses, Physical Review B, vol.71, issue.12, p.125435, 2005.
DOI : 10.1103/PhysRevB.71.125435
URL : https://hal.archives-ouvertes.fr/hal-00463614

I. M. Burakov, N. M. Bulgakova, R. Stoian, A. Mermillod-blondin, E. Audouard et al., Spatial distribution of refractive index variations induced in bulk fused silica by single ultrashort and short laser pulses, Journal of Applied Physics, vol.101, issue.4, p.43506, 2007.
DOI : 10.1063/1.2436925
URL : https://hal.archives-ouvertes.fr/ujm-00132296

J. R. Gulley and W. M. Dennis, Ultrashort-pulse propagation through free-carrier plasmas, Physical Review A, vol.81, issue.3, p.33818, 2010.
DOI : 10.1103/PhysRevA.81.033818

R. Buschlinger, S. Nolte, and U. Peschel, Self-organized pattern formation in laser-induced multiphoton ionization, Physical Review B, vol.89, issue.18, p.184306, 2014.
DOI : 10.1103/PhysRevB.89.184306

N. M. Bulgakova, V. P. Zhukov, Y. P. Meshcheryakov, L. Gemini, J. Brajer et al., Pulsed laser modification of transparent dielectrics: what can be foreseen and predicted by numerical simulations?, Journal of the Optical Society of America B, vol.31, issue.11, p.8, 2014.
DOI : 10.1364/JOSAB.31.0000C8

K. I. Popov, C. Mcelcheran, K. Briggs, S. Mack, and L. Ramunno, Morphology of femtosecond laser modification of bulk dielectrics, Optics Express, vol.19, issue.1, p.271, 2010.
DOI : 10.1364/OE.19.000271

H. Schmitz and V. Mezentsev, Full-vectorial modeling of femtosecond pulses for laser inscription of photonic structures, Journal of the Optical Society of America B, vol.29, issue.6, p.1208, 2012.
DOI : 10.1364/JOSAB.29.001208

T. Bakos, S. N. Rashkeev, and S. T. Pantelides, Defect formation and annihilation mechanisms, Physical Review B, vol.69, issue.19, p.195206, 2004.
DOI : 10.1103/PhysRevB.69.195206

S. Guizard, P. Martin, G. Petite, P. D. Oliveira, and P. Meynadier, Time-resolved study of laser-induced colour centres in, Journal of Physics: Condensed Matter, vol.8, issue.9, p.1281, 1996.
DOI : 10.1088/0953-8984/8/9/018

X. Gao, G. Feng, L. Zhai, and Z. Shouhuan, Effect of subsurface impurities of fused silica on laser-induced damage probability, Optical Engineering, vol.53, issue.2, p.26101, 2014.
DOI : 10.1117/1.OE.53.2.026101

A. Zoubir, C. Rivero, R. Grodsky, K. Richardson, M. Richardson et al., Laser-induced defects in fused silica by femtosecond IR irradiation, Physical Review B, vol.73, issue.22, p.224117, 2006.
DOI : 10.1103/PhysRevB.73.224117
URL : https://hal.archives-ouvertes.fr/hal-00111127

R. H. Doremus, Physical Solubility of Gases in Fused Silica, Journal of the American Ceramic Society, vol.191, issue.701, p.461, 1966.
DOI : 10.1111/j.1151-2916.1966.tb13299.x

P. P. Rajeev, M. Gertsvolf, E. Simova, C. Hnatovsky, R. S. Taylor et al., Memory in Nonlinear Ionization of Transparent Solids, Physical Review Letters, vol.97, issue.25, p.253001, 2006.
DOI : 10.1103/PhysRevLett.97.253001

F. A. Umran, Y. Liao, M. M. Elias, K. Sugioka, R. Stoian et al., Formation of nanogratings in a transparent material with tunable ionization property by femtosecond laser irradiation, Optics Express, vol.21, issue.13, p.15259, 2013.
DOI : 10.1364/OE.21.015259
URL : https://hal.archives-ouvertes.fr/ujm-00835558

M. Vangheluwe, F. Liang, Y. Petit, P. Hée, Y. Ledemi et al., Enhancement of nanograting formation assisted by silver ions in a sodium gallophosphate glass, Optics Letters, vol.39, issue.19, p.5491, 2014.
DOI : 10.1364/OL.39.005491
URL : https://hal.archives-ouvertes.fr/hal-01074507

M. Lancry, B. Poumellec, A. Chahid-erraji, M. Beresna, and P. G. Kazansky, Dependence of the femtosecond laser refractive index change thresholds on the chemical composition of doped-silica glasses, Optical Materials Express, vol.1, issue.4, p.711, 2011.
DOI : 10.1364/OME.1.000711

B. Rethfeld, Unified Model for the Free-Electron Avalanche in Laser-Irradiated Dielectrics, Physical Review Letters, vol.92, issue.18, p.187401, 2004.
DOI : 10.1103/PhysRevLett.92.187401

E. G. Gamaly and A. V. Rode, Transient optical properties of dielectrics and semiconductors excited by an ultrashort laser pulse, Journal of the Optical Society of America B, vol.31, issue.11, p.36, 2014.
DOI : 10.1364/JOSAB.31.000C36

P. Martin, S. Guizard, P. Daguzan, G. Petite, P. D. Oliveira et al., Subpicosecond study of carrier trapping dynamics in wide-band-gap crystals, Physical Review B, vol.55, issue.9, p.5799, 1997.
DOI : 10.1103/PhysRevB.55.5799

A. Q. Wu, I. H. Chowdhury, and X. Xu, Femtosecond laser absorption in fused silica: Numerical and experimental investigation, Physical Review B, vol.72, issue.8, p.85128, 2005.
DOI : 10.1103/PhysRevB.72.085128

B. Chimier, O. Utéza, N. Sanner, M. Sentis, T. Itina et al., Damage and ablation thresholds of fused-silica in femtosecond regime, Physical Review B, vol.84, issue.9, p.94104, 2011.
DOI : 10.1103/PhysRevB.84.094104
URL : https://hal.archives-ouvertes.fr/ujm-00710823

B. Rethfeld, Free-electron generation in laser-irradiated dielectrics, Physical Review B, vol.73, issue.3, p.35101, 2006.
DOI : 10.1103/PhysRevB.73.035101

N. S. Shcheblanov, E. P. Silaeva, and T. E. Itina, Electronic excitation and relaxation processes in wide band gap dielectric materials in the transition region of the Keldysh parameter, Applied Surface Science, vol.258, issue.23, p.9417, 2012.
DOI : 10.1016/j.apsusc.2011.12.129
URL : https://hal.archives-ouvertes.fr/ujm-00629039

B. Rethfeld, O. Brenk, N. Medvedev, H. Krutsch, and D. Hoffmann, Interaction of dielectrics with femtosecond laser pulses: application of kinetic approach and multiple rate equation, Applied Physics A, vol.83, issue.14, p.19, 2010.
DOI : 10.1007/s00339-010-5780-3

Y. Bellouard, E. Barthel, A. A. Said, M. Dugan, and P. Bado, Scanning thermal microscopy and Raman analysis of bulk fused silica exposed to lowenergy femtosecond laser pulses, Optics Express, vol.16, issue.24, p.19520, 2008.
DOI : 10.1364/OE.16.019520
URL : https://hal.archives-ouvertes.fr/hal-00505004

S. P. Sharma, V. Oliveira, P. Herrero, and R. Vilar, Internal structure of the nanogratings generated inside bulk fused silica by ultrafast laser direct writing, Journal of Applied Physics, vol.116, issue.5, p.53106, 2014.
DOI : 10.1063/1.4892562

L. Bressel, D. De-ligny, E. G. Gamaly, A. V. Rode, and S. Juodkazis, Observation of O_2 inside voids formed in GeO_2 glass by tightly-focused fs-laser pulses, Optical Materials Express, vol.1, issue.6, p.1150, 2011.
DOI : 10.1364/OME.1.001150

J. Canning, M. Lancry, K. Cook, A. Weickman, F. Brisset et al., Anatomy of a femtosecond laser processed silica waveguide [Invited], Optical Materials Express, vol.1, issue.5, p.998, 2011.
DOI : 10.1364/OME.1.000998

S. A. Ansari, M. M. Khan, S. Kalathil, A. Nisar, J. Lee et al., Oxygen vacancy induced band gap narrowing of ZnO nanostructures by an electrochemically active biofilm, Nanoscale, vol.29, issue.19, p.9238, 2013.
DOI : 10.1016/j.biotechadv.2013.05.001

G. Petite, P. Daguzan, S. Guizard, and P. Martin, Conduction electrons in wide-bandgap oxides: a subpicosecond time-resolved optical study, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, vol.107, issue.1-4, p.97, 1996.
DOI : 10.1016/0168-583X(95)00845-4

D. G. Papazoglou and S. Tzortzakis, Physical mechanisms of fused silica restructuring and densification after femtosecond laser excitation [Invited], Optical Materials Express, vol.1, issue.4, p.625, 2011.
DOI : 10.1364/OME.1.000625

S. Sen and J. E. Dickinson, molecular dynamics simulation of femtosecond laser-induced structural modification in vitreous silica, Physical Review B, vol.68, issue.21, p.214204, 2003.
DOI : 10.1103/PhysRevB.68.214204

C. Corbari, A. Champion, M. Gecevi?ius, M. Beresna, Y. Bellouard et al., Femtosecond versus picosecond laser machining of nano-gratings and micro-channels in silica glass, Optics Express, vol.21, issue.4, p.3946, 2013.
DOI : 10.1364/OE.21.003946

X. Fan, W. Zheng, and D. J. Singh, Light scattering and surface plasmons on small spherical particles, Light: Science & Applications, vol.46, issue.6, p.179, 2014.
DOI : 10.1038/nature08364

D. Wortmann, J. Gottmann, N. Brandt, and H. Horn-solle, Micro- and nanostructures inside sapphire by fs-laser irradiation and selective etching, Optics Express, vol.16, issue.3, p.1517, 2008.
DOI : 10.1364/OE.16.001517

J. E. Sipe, J. F. Young, J. S. Preston, and H. M. Van-driel, Laser-induced periodic surface structure. I. Theory, Physical Review B, vol.27, issue.2, p.1141, 1983.
DOI : 10.1103/PhysRevB.27.1141

T. J. Derrien, R. Torres, T. Sarnet, M. Sentis, and T. E. Itina, Formation of femtosecond laser induced surface structures on silicon: Insights from numerical modeling and single pulse experiments, Applied Surface Science, vol.258, issue.23, p.9487, 2012.
DOI : 10.1016/j.apsusc.2011.10.084
URL : https://hal.archives-ouvertes.fr/hal-01418610

J. Z. Skolski, G. R. Römer, J. V. Obona, V. Ocelik, and A. J. , Laser-induced periodic surface structures: Fingerprints of light localization, Huis in 't Veld, and J. T. M. De Hosson, p.75320, 2012.
DOI : 10.1103/PhysRevB.85.075320

H. Zhang, J. Colombier, C. Li, N. Faure, G. Cheng et al., Coherence in ultrafast laser-induced periodic surface structures, Physical Review B, vol.92, issue.17, p.174109, 2015.
DOI : 10.1103/PhysRevB.92.174109
URL : https://hal.archives-ouvertes.fr/ujm-01260778

J. Bonse, A. Rosenfeld, and J. Krüger, On the role of surface plasmon polaritons in the formation of laser-induced periodic surface structures upon irradiation of silicon by femtosecond-laser pulses, Journal of Applied Physics, vol.106, issue.10, p.104910, 2009.
DOI : 10.1063/1.3261734

F. Garrelie, J. Colombier, F. Pigeon, S. Tonchev, N. Faure et al., Evidence of surface plasmon resonance in ultrafast laser-induced ripples, Optics Express, vol.19, issue.10, p.9035, 2011.
DOI : 10.1364/OE.19.009035
URL : https://hal.archives-ouvertes.fr/hal-00590530

G. D. Tsibidis, M. Barberoglou, P. A. Loukakos, E. Stratakis, and C. Fotakis, Dynamics of ripple formation on silicon surfaces by ultrashort laser pulses in subablation conditions, Physical Review B, vol.86, issue.11, p.115316, 2012.
DOI : 10.1103/PhysRevB.86.115316

S. K. Das, H. Messaoudi, A. Debroy, E. Mcglynn, and R. Grunwald, Multiphoton excitation of surface plasmon-polaritons and scaling of nanoripple formation in large bandgap materials, Optical Materials Express, vol.3, issue.10, p.1705, 2013.
DOI : 10.1364/OME.3.001705

T. J. Derrien, T. E. Itina, R. Torres, T. Sarnet, and M. Sentis, Possible surface plasmon polariton excitation under femtosecond laser irradiation of silicon, Journal of Applied Physics, vol.114, issue.8, p.83104, 2013.
DOI : 10.1063/1.4818433
URL : https://hal.archives-ouvertes.fr/ujm-00866904

I. Romero, J. Aizpurua, G. W. Bryant, and F. J. Abajo, Plasmons in nearly touching metallic nanoparticles: singular response in the limit of touching dimers, Optics Express, vol.14, issue.21, p.9988, 2006.
DOI : 10.1364/OE.14.009988

J. Yao, C. Zhang, H. Liu, Q. Dai, L. Wu et al., High spatial frequency periodic structures induced on metal surface by femtosecond laser pulses, Optics Express, vol.20, issue.2, p.905, 2012.
DOI : 10.1364/OE.20.000905

C. Hnatovsky, R. S. Taylor, P. P. Rajeev, E. Simova, V. R. Bhardwaj et al., Pulse duration dependence of femtosecond-laser-fabricated nanogratings in fused silica, Applied Physics Letters, vol.87, issue.1, p.14104, 2005.
DOI : 10.1063/1.1991991

K. Mishchik, G. Cheng, G. Huo, I. M. Burakov, C. Mauclair et al., Nanosize structural modifications with polarization functions in ultrafast laser irradiated bulk fused silica, Optics Express, vol.18, issue.24, p.24809, 2010.
DOI : 10.1364/OE.18.024809