E. Yablonovitch, Inhibited Spontaneous Emission in Solid-State Physics and Electronics, Physical Review Letters, vol.58, issue.20, pp.2059-2062, 1987.
DOI : 10.1103/PhysRevLett.58.2059

P. Vukusic and J. R. Sambles, Photonic structures in biology, Nature, vol.424, issue.6950, pp.852-855, 2003.
DOI : 10.1038/nature01941

K. M. Leung and Y. F. Liu, Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media, Physical Review Letters, vol.65, issue.21, pp.2646-2649, 1990.
DOI : 10.1103/PhysRevLett.65.2646

Z. Zhang and S. Satpathy, Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell???s equations, Physical Review Letters, vol.65, issue.21, pp.2650-2653, 1990.
DOI : 10.1103/PhysRevLett.65.2650

C. Herring, A New Method for Calculating Wave Functions in Crystals, Physical Review, vol.57, issue.12, pp.1169-1177, 1940.
DOI : 10.1103/PhysRev.57.1169

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Existence of a photonic gap in periodic dielectric structures, Physical Review Letters, vol.65, issue.25, pp.3152-3155, 1990.
DOI : 10.1103/PhysRevLett.65.3152

T. F. Krauss, R. M. Rue, and S. Brand, Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths, Nature, vol.383, issue.6602, pp.699-702, 1996.
DOI : 10.1038/383699a0

C. C. Cheng, V. Arbet-engels, A. Scherer, and E. Yablonovitch, Nanofabricated three dimensional photonic crystals operating at optical wavelengths, Physica Scripta, vol.68, pp.17-20, 1996.
DOI : 10.1088/0031-8949/1996/T68/002

S. Y. Lin, J. G. Fleming, D. L. Hetherington, B. K. Smith, K. M. Biswas et al., A threedimensional photonic crystal operating at infrared wavelengths, Nature, vol.394, issue.6690, pp.251-253, 1998.
DOI : 10.1038/28343

T. A. Birks, P. J. Roberts, P. S. Russell, D. M. Atkin, and T. J. Sheperd, Full 2-D photonic bandgaps in silica/air structures, Electronics Letters, vol.31, issue.22, pp.1941-1942, 1995.
DOI : 10.1049/el:19951306

J. C. Knight, T. A. Birks, P. S. Russell, and D. M. Atkin, All-silica single-mode optical fiber with photonic crystal cladding, Optics Letters, vol.21, issue.19, pp.1547-1549, 1996.
DOI : 10.1364/OL.21.001547

T. A. Birks, J. C. Knight, and P. S. Russell, Endlessly single-mode photonic crystal fiber, Optics Letters, vol.22, issue.13, pp.961-963, 1997.
DOI : 10.1364/OL.22.000961

J. C. Knight, J. Broeng, T. A. Birks, and P. S. Russell, Photonic Band Gap Guidance in Optical Fibers, Science, vol.282, issue.5393, pp.1476-1478, 1998.
DOI : 10.1126/science.282.5393.1476

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. Russell et al., Single-Mode Photonic Band Gap Guidance of Light in Air, Science, vol.285, issue.5433, pp.1537-1539, 1999.
DOI : 10.1126/science.285.5433.1537

F. Luan, A. K. George, T. D. Hedley, G. J. Pearce, D. M. Bird et al., All-solid photonic bandgap fiber, Optics Letters, vol.29, issue.20, pp.2369-2371, 2004.
DOI : 10.1364/OL.29.002369

A. Argyros, T. A. Birks, S. G. Leon-saval, C. M. Cordeiro, F. Luan et al., Photonic bandgap with an index step of one percent, Optics Express, vol.13, issue.1, pp.309-314, 2005.
DOI : 10.1364/OPEX.13.000309

O. N. Egorova, S. L. Semjonov, A. F. Kosolapov, A. N. Denisov, A. D. Pryamikov et al., Single-mode all-silica photonic bandgap fiber with 20-??m mode-field diameter, Optics Express, vol.16, issue.16, pp.11735-11740, 2008.
DOI : 10.1364/OE.16.011735

F. Poli, A. Cucinotta, and S. Selleri, Photonic crystal fibers, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01239449

P. Roberts, F. Couny, H. Sabert, B. Mangan, D. Williams et al., Ultimate low loss of hollow-core photonic crystal fibres, Optics Express, vol.13, issue.1, pp.236-244, 2005.
DOI : 10.1364/OPEX.13.000236

J. West, C. Smith, D. Borrelli, K. Allan, and . Koch, Surface modes in air-core photonic band-gap fibers, Optics Express, vol.12, issue.8, pp.1485-1496, 2004.
DOI : 10.1364/OPEX.12.001485.m002

L. Jin, Z. Wang, Y. Liu, G. Kai, and X. Dong, Ultraviolet-inscribed long period gratings in all-solid photonic bandgap fibers, Optics Express, vol.16, issue.25, pp.21119-21131, 2008.
DOI : 10.1364/OE.16.021119

L. Jin, Z. Wang, Q. Fang, B. Liu, Y. Liu et al., Bragg grating resonances in all-solid bandgap fibers, Optics Letters, vol.32, issue.18, pp.2717-2719, 2007.
DOI : 10.1364/OL.32.002717

L. Jin, Z. Wang, Q. Fang, Y. Liu, B. Liu et al., Spectral characteristics and bend response of Bragg gratings inscribed in all-solid bandgap fibers, Optics Express, vol.15, issue.23, pp.15555-15565, 2007.
DOI : 10.1364/OE.15.015555

L. Bigot, G. Bouwmans, Y. Quiquempois, A. L. Rouge, V. Pureur et al., Efficient fiber Bragg gratings in 2D all-solid photonic bandgap fiber, Optics Express, vol.17, issue.12, pp.10105-10112, 2009.
DOI : 10.1364/OE.17.010105

URL : https://hal.archives-ouvertes.fr/hal-00879770

A. Shirakawa, H. Maruyama, K. Ueda, C. B. Olausson, J. K. Lyngso et al., High-power Yb-doped photonic bandgap fiber amplifier at 1150-1200 nm, Optics Express, vol.17, issue.2, pp.447-454, 2008.
DOI : 10.1364/OE.17.000447

V. Pureur, L. Bigot, G. Bouwmans, Y. Quiquempois, M. Douay et al., Ytterbium-doped solid core photonic bandgap fiber for laser operation around 980nm, Applied Physics Letters, vol.92, issue.6, p.61113, 2008.
DOI : 10.1063/1.2857464

A. Wang, A. K. George, and J. C. Knight, Three-level neodymium fiber laser incorporating photonic bandgap fiber, Optics Letters, vol.31, issue.10, pp.1388-1390, 2006.
DOI : 10.1364/OL.31.001388

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic crystal, molding the flow of light, 2008.

J. M. Pottage, D. M. Bird, T. D. Hefley, T. A. Birks, J. C. Knight et al., Robust photonic band gaps for hollow core guidance in PCF made from high index glass, Optics Express, vol.11, issue.22, pp.2854-2861, 2003.
DOI : 10.1364/OE.11.002854

G. J. Pearce, T. D. Hedley, and D. M. Bird, Adaptive curvilinear coordinates in a plane-wave solution of Maxwell???s equations in photonic crystals, Physical Review B, vol.71, issue.19, p.195108, 2005.
DOI : 10.1103/PhysRevB.71.195108

J. Laegsgaard, Mode profile dispersion in the generalised nonlinear Schr??dinger equation, Optics Express, vol.15, issue.24, pp.16110-16123, 2007.
DOI : 10.1364/OE.15.016110

A. Yariv, Optical electronics in modern communications, 1997.

A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic crystal fibres, 2003.
DOI : 10.1007/978-1-4615-0475-7

D. E. Aspnes, Local???field effects and effective???medium theory: A microscopic perspective, American Journal of Physics, vol.50, issue.8, pp.704-709, 1982.
DOI : 10.1119/1.12734

J. A. Reynolds and J. M. Hough, Formulae for Dielectric Constant of Mixtures, Proceedings of the Physical Society. Section B, vol.70, issue.8, pp.769-775, 1957.
DOI : 10.1088/0370-1301/70/8/306

W. R. Tinga, W. A. Voss, and D. F. Blossey, Generalized approach to multiphase dielectric mixture theory, Journal of Applied Physics, vol.44, issue.9, pp.3897-3901, 1973.
DOI : 10.1063/1.1662868

B. T. Kuhlmey, R. C. Mcphedran, and C. M. De-sterke, Modal cutoff in microstructured optical fibers, Optics Letters, vol.27, issue.19, pp.1684-1686, 2002.
DOI : 10.1364/OL.27.001684

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Complete Analysis of the Characteristics of Propagation into Photonic Crystal Fibers, by the Finite Element Method, Optical Fiber Technology, vol.6, issue.2, pp.181-191, 2000.
DOI : 10.1006/ofte.1999.0320

URL : https://hal.archives-ouvertes.fr/hal-01290279

J. C. Knight, J. Arriaga, T. A. Birks, A. Ortigosa-blanch, W. J. Wadsworth et al., Anomalous dispersion in photonic crystal fiber, IEEE Photonics Technology Letters, vol.12, issue.7, pp.807-809, 2000.
DOI : 10.1109/68.853507

W. H. Reeves, J. C. Knight, P. S. Russell, and P. J. Roberts, Demonstration of ultra-flattened dispersion in photonic crystal fibers, Optics Express, vol.10, issue.14, pp.609-613, 2002.
DOI : 10.1364/OE.10.000609

L. Fu, B. K. Thomas, and L. Dong, Efficient supercontinuum generations in silica suspended core fibers, Optics Express, vol.16, issue.24, pp.19629-19642, 2008.
DOI : 10.1364/OE.16.019629

J. Limpert, O. Schmidt, J. Rothhardt, F. Röser, T. Schreiber et al., Extended single-mode photonic crystal fiber lasers, Optics Express, vol.14, issue.7, pp.2715-2720, 2006.
DOI : 10.1364/OE.14.002715

N. A. Mortensen, M. D. Nielsen, J. R. Folkenberg, A. Peterson, and H. R. Simonsen, Improved large-mode-area endlessly single-mode photonic crystal fibers, Optics Letters, vol.28, issue.6, pp.393-395, 2003.
DOI : 10.1364/OL.28.000393

URL : http://arxiv.org/abs/physics/0211050

J. C. Knight, T. A. Birks, R. F. Cregan, P. S. Russell, and J. Sandro, Large mode area photonic crystal fibre, Electronics Letters, vol.34, issue.13, pp.1347-1348, 1998.
DOI : 10.1049/el:19980965

W. J. Wadsworth, R. M. Percival, G. Bouwmans, J. C. Knight, and P. S. Russell, High power air-clad photonic crystal fibre laser, Optics Express, vol.11, issue.1, pp.48-53, 2003.
DOI : 10.1364/OE.11.000048

W. J. Wadsworth, R. M. Percival, G. Bouwmans, J. C. Knight, T. A. Birks et al., Very High Numerical Aperture Fibers, IEEE Photonics Technology Letters, vol.16, issue.3, pp.843-845, 2004.
DOI : 10.1109/LPT.2004.823689

T. P. Hansen, J. Broeng, S. E. Libori, E. Knudsen, A. Bjarklev et al., Highly birefringent index-guiding photonic crystal fibers, IEEE Photonics Technology Letters, vol.13, issue.6, pp.588-590, 2001.
DOI : 10.1109/68.924030

URL : http://orbit.dtu.dk/ws/files/4157251/hansen.pdf

M. J. Steel and R. M. Jr, Elliptical-hole photonic crystal fibers, Optics Letters, vol.26, issue.4, pp.229-231, 2001.
DOI : 10.1364/OL.26.000229

A. Ortigosa, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan et al., Highly birefringent photonic crystal fibers, Optics Letters, vol.25, issue.18, pp.1325-1327, 2000.
DOI : 10.1364/OL.25.001325

G. Bouwmans, L. Bigot, Y. Quiquempois, F. Lopez, L. Provino et al., Fabrication and characterization of an all-solid 2D photonic bandgap fiber with a low-loss region (< 20 dB/km) around 1550 nm, Optics Express, vol.13, issue.21, pp.8452-8459, 2005.
DOI : 10.1364/OPEX.13.008452

J. Riishede, J. Laegsgaard, J. Broeng, and A. Bjarklev, All-silica photonic bandgap fibre with zero dispersion and a large mode area at 730 nm, Journal of Optics A: Pure and Applied Optics, vol.6, issue.7, pp.667-670, 2004.
DOI : 10.1088/1464-4258/6/7/001

K. Saitoh and M. Koshiba, Leakage loss and group velocity dispersion in air-core photonic bandgap fibers, Optics Express, vol.11, issue.23, pp.3100-3109, 2003.
DOI : 10.1364/OE.11.003100

J. Laegsgaard, P. J. Roberts, and M. Bache, Tailoring the dispersion properties of photonic crystal fibers, Optical and Quantum Electronics, vol.22, issue.11, pp.995-1008, 2007.
DOI : 10.1007/s11082-007-9146-9

Z. Varallyay, K. Saitoh, A. Szabo, and R. Szipocs, Photonic bandgap fibers with resonant structures for tailoring the dispersion, Optics Express, vol.17, issue.14, pp.11869-11883, 2009.
DOI : 10.1364/OE.17.011869.m001

K. Saitoh and M. Koshiba, Photonic bandgap fibers with high birefringence, IEEE Photonics Technology Letters, vol.14, issue.9, pp.1291-1293, 2002.
DOI : 10.1109/LPT.2002.801045

M. S. Alam, K. Saitoh, and M. Koshiba, High group birefringence in air-core photonic bandgap fibers, Optics Letters, vol.30, issue.8, pp.824-826, 2005.
DOI : 10.1364/OL.30.000824

X. Chen, M. Li, N. Venkataraman, M. T. Gallagher, W. A. Wood et al., Highly birefringent hollow-core photonic bandgap fiber, Optics Express, vol.12, issue.16, pp.3888-3893, 2004.
DOI : 10.1364/OPEX.12.003888

B. W. Liu, M. L. Hu, X. H. Fang, Y. F. Li, L. Chai et al., Tunable Bandpass Filter With Solid-Core Photonic Bandgap Fiber and Bragg Fiber, IEEE Photonics Technology Letters, vol.20, issue.8, pp.581-583, 2008.
DOI : 10.1109/LPT.2008.918816

T. Taru, J. Hou, and J. C. Knight, Raman gain suppression in all-solid photonic bandgap fiber, 33rd European Conference and Exhibition on Optical Communication, ECOC 2007, 2007.
DOI : 10.1049/ic:20070249

C. B. Olausson, C. I. Falk, J. K. Lyngso, B. B. Jensen, K. T. Therkildsen et al., Amplification and ASE suppression in a polarization-maintaining ytterbium-doped all-solid photonic bandgap fibre, Optics Express, vol.16, issue.18, pp.13657-13662, 2008.
DOI : 10.1364/OE.16.013657

A. Isomäki and O. G. Okhotnikov, Femtosecond soliton mode-locked laser based on ytterbium-doped photonic bandgap fiber, Optics Express, vol.14, issue.20, pp.9238-9242, 2006.
DOI : 10.1364/OE.14.009238

T. P. White, R. C. Macphedran, L. C. Botten, G. H. Smith, and C. M. De-sterke, Calculations of air-guided modes in photonic crystal fibers using the multipole method, Optics Express, vol.9, issue.13, pp.721-732, 2001.
DOI : 10.1364/OE.9.000721

T. P. White, B. T. Kuhlmey, R. C. Mcphedran, D. Maystre, G. Renversez et al., Multipole method for microstructured optical fibers I Formulation, Journal of the Optical Society of America B, vol.19, issue.10, pp.2322-2330, 2002.
DOI : 10.1364/JOSAB.19.002322

URL : https://hal.archives-ouvertes.fr/hal-00079791

B. T. Kuhlmey, T. P. White, R. C. Mcphedran, D. Maystre, G. Renversez et al., Multipole method for microstructured optical fibers II Implementation and results, Journal of the Optical Society of America B, vol.19, issue.10, pp.2331-2339, 2002.
DOI : 10.1364/JOSAB.19.002331

URL : https://hal.archives-ouvertes.fr/hal-00079772

M. Qiu, Analysis of guided modes in photonic crystal fibers using the finite-difference time-domain method, Microwave and Optical Technology Letters, vol.114, issue.5, pp.327-330, 2001.
DOI : 10.1002/mop.1304

Z. Zhu and T. G. Brown, Full-vectorial finite-difference analysis of microstructured optical fibers, Optics Express, vol.10, issue.17, pp.853-864, 2002.
DOI : 10.1364/OE.10.000853

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Complete Analysis of the Characteristics of Propagation into Photonic Crystal Fibers, by the Finite Element Method, Optical Fiber Technology, vol.6, issue.2, pp.181-191, 2000.
DOI : 10.1006/ofte.1999.0320

URL : https://hal.archives-ouvertes.fr/hal-01290279

Z. Zhu and T. G. Brown, Analysis of the space filling modes of photonic crystal fibers, Optics Express, vol.8, issue.10, pp.547-554, 2001.
DOI : 10.1364/OE.8.000547

S. Guo and S. Albin, Simple plane wave implementation for photonic crystal calculations, Optics Express, vol.11, issue.2, pp.167-175, 2003.
DOI : 10.1364/OE.11.000167

J. Laegsgaard, A. Bjarklev, and S. R. Libori, Chromatic dispersion in photonic crystal fibers: fast and accurate scheme for calculation, Journal of the Optical Society of America B, vol.20, issue.3, pp.443-448, 2003.
DOI : 10.1364/JOSAB.20.000443

H. S. Sözüer and J. W. Haus, Photonic bands: Convergence problems with the plane-wave method, Physical Review B, vol.45, issue.24, pp.13962-13972, 1992.
DOI : 10.1103/PhysRevB.45.13962

M. Perrin, Y. Quiquempois, G. Bouwmans, and M. Douay, Coexistence of total internal reflexion and bandgap modes in solid core photonic bandgap fibre with intersticial air holes, Optics Express, vol.15, issue.21, pp.13783-13795, 2007.
DOI : 10.1364/OE.15.013783.m001

K. Busch and S. John, Photonic band gap formation in certain self-organizing systems, Physical Review E, vol.58, issue.3, pp.3896-3908, 1998.
DOI : 10.1103/PhysRevE.58.3896

T. A. Birks, G. J. Pearce, and D. M. Bird, Approximate band structure calculation for photonic bandgap fibres, Optics Express, vol.14, issue.20, pp.9483-9490, 2006.
DOI : 10.1364/OE.14.009483

M. A. Duguay, Y. Kokubun, T. L. Koch, and L. Pfeiffer, ???Si multilayer structures, Applied Physics Letters, vol.49, issue.1, pp.13-15, 1986.
DOI : 10.1063/1.97085

N. M. Litchinitser, A. K. Abeeluck, C. Headley, and B. J. Eggleton, Antiresonant reflecting photonic crystal optical waveguides, Optics Letters, vol.27, issue.18, pp.1592-1594, 2002.
DOI : 10.1364/OL.27.001592

T. P. White, R. C. Mcphedran, C. M. De-sterke, N. M. Litchinitser, and B. J. Eggleton, Resonance and scattering in microstructured optical fibers, Optics Letters, vol.27, issue.22, pp.1977-1979, 2002.
DOI : 10.1364/OL.27.001977

N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White et al., Resonances in microstructured optical waveguides, Optics Express, vol.11, issue.10, pp.1243-1251, 2003.
DOI : 10.1364/OE.11.001243

Y. Li, C. Wang, T. A. Birks, and D. M. Bird, Effective index method for all-solid photonic bandgap fibres, Journal of Optics A: Pure and Applied Optics, vol.9, issue.10, pp.858-861, 2007.
DOI : 10.1088/1464-4258/9/10/014

B. Malo, J. Albert, F. Bilodeau, T. Kitagawa, D. C. Johnson et al., Photosensitivity in phosphorus???doped silica glass and optical waveguides, Applied Physics Letters, vol.65, issue.4, pp.394-396, 1994.
DOI : 10.1063/1.112312

I. H. Malitson, Interspecimen Comparison of the Refractive Index of Fused Silica*,???, Journal of the Optical Society of America, vol.55, issue.10, pp.1205-1209, 1965.
DOI : 10.1364/JOSA.55.001205

K. S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas Propag, vol.14, issue.3, pp.302-307, 1966.

P. M. Goorjian, A. Taflove, R. M. Joseph, and S. C. Hagness, Computational modeling of femtosecond optical solitons from Maxwell's equations, IEEE Journal of Quantum Electronics, vol.28, issue.10, pp.2416-2422, 1992.
DOI : 10.1109/3.159548

R. M. Joseph and A. Taflove, FDTD Maxwell's equations models for nonlinear electrodynamics and optics, IEEE Transactions on Antennas and Propagation, vol.45, issue.3, pp.364-374, 1997.
DOI : 10.1109/8.558652

L. Gilles, S. C. Hagness, and L. Vazquez, Comparison between Staggered and Unstaggered Finite-Difference Time-Domain Grids for Few-Cycle Temporal Optical Soliton Propagation, Journal of Computational Physics, vol.161, issue.2, pp.379-400, 2000.
DOI : 10.1006/jcph.2000.6460

T. Lee and S. C. Hagness, Pseudospectral time-domain methods for modeling optical wave propagation in second-order nonlinear materials, Journal of the Optical Society of America B, vol.21, issue.2, pp.330-342, 2004.
DOI : 10.1364/JOSAB.21.000330

J. C. Tyrrell, P. Kinsler, and G. H. New, Pseudospectral spatial-domain: a new method for nonlinear pulse propagation in the few-cycle regime with arbitrary dispersion, Journal of Modern Optics, vol.64, issue.7, pp.973-986, 2005.
DOI : 10.1103/PhysRevE.60.1051

M. Kolesik, J. Moloney, and M. Mlejnek, Unidirectional Optical Pulse Propagation Equation, Physical Review Letters, vol.89, issue.28, p.283902, 2002.
DOI : 10.1103/PhysRevLett.89.283902

M. Kolesik and J. V. Moloney, Nonlinear optical pulse propagation simulation: From Maxwell???s to unidirectional equations, Physical Review E, vol.70, issue.3, p.36604, 2004.
DOI : 10.1103/PhysRevE.70.036604

P. Kinsler, Unidirectional optical pulse propagation equation for materials with both electric and magnetic responses, Physical Review A, vol.81, issue.2, p.23808, 2010.
DOI : 10.1103/PhysRevA.81.023808

Y. Mizuta, M. Nagasawa, M. Ohtani, and M. Yamashita, Nonlinear propagation analysis of few-optical-cycle pulses for subfemtosecond compression and carrier envelope phase effect, Physical Review A, vol.72, issue.6, p.63802, 2005.
DOI : 10.1103/PhysRevA.72.063802

K. J. Blow and D. Wood, Theoretical description of transient stimulated Raman scattering in optical fibers, IEEE Journal of Quantum Electronics, vol.25, issue.12, pp.2665-2673, 1989.
DOI : 10.1109/3.40655

P. V. Mamyshev and S. V. Chernikov, Ultrashort-pulse propagation in optical fibers, Optics Letters, vol.15, issue.19, pp.1076-1078, 1990.
DOI : 10.1364/OL.15.001076

P. L. François, Nonlinear propagation of ultrashort pulses in optical fibers: total field formulation in the frequency domain, Journal of the Optical Society of America B, vol.8, issue.2, pp.276-293, 1991.
DOI : 10.1364/JOSAB.8.000276

C. V. Hile and W. L. Kath, Numerical solutions of Maxwell???s equations for nonlinear-optical pulse propagation, Journal of the Optical Society of America B, vol.13, issue.6, pp.1135-1145, 1996.
DOI : 10.1364/JOSAB.13.001135

F. Poletti and P. Horak, Dynamics of femtosecond supercontinuum generation in multimode fibers, Optics Express, vol.17, issue.8, pp.6134-6147, 2009.
DOI : 10.1364/OE.17.006134

G. Genty, P. Kinsler, B. Kibler, and J. M. Dudley, Nonlinear envelope equation modeling of sub-cycle dynamics and harmonic generation in nonlinear waveguides, Optics Express, vol.15, issue.9, pp.5382-5387, 2007.
DOI : 10.1364/OE.15.005382

URL : https://hal.archives-ouvertes.fr/hal-00322606

F. Drouart, G. Renversez, A. Nicolet, and C. Geuzine, Spatial Kerr solitons in optical fibres of finite size cross section: beyond the Townes soliton, Journal of Optics A: Pure and Applied Optics, vol.10, issue.12, p.125101, 2008.
DOI : 10.1088/1464-4258/10/12/125101

URL : https://hal.archives-ouvertes.fr/hal-00386055

S. Chi and Q. Guo, Vector theory of self-focusing of an optical beam in Kerr media, Optics Letters, vol.20, issue.15, pp.1598-1600, 1995.
DOI : 10.1364/OL.20.001598

A. D. Boardman, K. Marinov, D. I. Pushkarov, and A. Shivarova, Wave-beam coupling in quadratic nonlinear optical waveguides: Effects of nonlinearly induced diffraction, Physical Review E, vol.62, issue.2, pp.2871-2877, 2000.
DOI : 10.1103/PhysRevE.62.2871

A. Ferrando, M. Zacarés, P. F. De-córdoba, D. Binosi, and . Montero, Forward-backward equations for nonlinear propagation in axially invariant optical systems, Physical Review E, vol.71, issue.1, p.16601, 2005.
DOI : 10.1103/PhysRevE.71.016601

K. Ekvall, C. Lundevall, and P. Van-der-meulen, Studies of the fifth-order nonlinear susceptibility of ultraviolet-grade fused silica, Optics Letters, vol.26, issue.12, pp.896-898, 2001.
DOI : 10.1364/OL.26.000896

M. Bloembergen, The Stimulated Raman Effect, American Journal of Physics, vol.35, issue.11, pp.989-1023, 1967.
DOI : 10.1119/1.1973774

D. Hollenbeck and C. D. Cantrell, Multiple-vibrational-mode model for fiber-optic Raman gain spectrum and response function, Journal of the Optical Society of America B, vol.19, issue.12, pp.2886-2892, 2002.
DOI : 10.1364/JOSAB.19.002886

R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, Raman response function of silica-core fibers, Journal of the Optical Society of America B, vol.6, issue.6, pp.1159-1166, 1989.
DOI : 10.1364/JOSAB.6.001159

A. C. Judge, S. A. Dekker, R. Pant, C. M. De-stercke, and B. J. Eggleton, Soliton self-frequency shift performance in As_2S_3 waveguides, Optics Express, vol.18, issue.14, pp.14960-14968, 2010.
DOI : 10.1364/OE.18.014960

A. A. Voronin and A. M. Zheltikov, Soliton self-frequency shift decelerated by self-steepening, Optics Letters, vol.33, issue.15, pp.1723-1725, 2008.
DOI : 10.1364/OL.33.001723

J. C. Travers and J. R. Taylor, Soliton trapping of dispersive waves in tapered optical fibers, Optics Letters, vol.34, issue.2, pp.115-117, 2009.
DOI : 10.1364/OL.34.000115

J. M. Dudley and J. R. Taylor, Supercontinuum generation, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00379712

J. Laegsgaard, Raman term in the nonlinear schrödinger equation, 2008.

J. Hult, A Fourth-Order Runge&#x2013;Kutta in the Interaction Picture Method for Simulating Supercontinuum Generation in Optical Fibers, Journal of Lightwave Technology, vol.25, issue.12, pp.3770-3775, 2007.
DOI : 10.1109/JLT.2007.909373

A. M. Heidt, Efficient Adaptive Step Size Method for the Simulation of Supercontinuum Generation in Optical Fibers, Journal of Lightwave Technology, vol.27, issue.18, pp.3984-3991, 2009.
DOI : 10.1109/JLT.2009.2021538

J. M. Dudley, G. Genty, and S. Coen, Supercontinuum generation in photonic crystal fiber, Reviews of Modern Physics, vol.78, issue.4, pp.1135-1184, 2006.
DOI : 10.1103/RevModPhys.78.1135

URL : https://hal.archives-ouvertes.fr/hal-00268071

A. Hasegawa and F. Tappert, Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion, Applied Physics Letters, vol.23, issue.3, pp.142-144, 1973.
DOI : 10.1063/1.1654836

L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Experimental observations of picosecond pulse narrowing and solitons in optical fibers, IEEE Journal of Quantum Electronics, vol.17, issue.12, pp.1095-1098, 1980.
DOI : 10.1109/JQE.1981.1070843

R. H. Stolen, L. F. Mollenauer, and W. J. Tomlinson, Observation of pulse restoration at the soliton period in optical fibers, Optics Letters, vol.8, issue.3, pp.186-188, 1983.
DOI : 10.1364/OL.8.000186

E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, Decay of optical solitons, JEPT Lett, vol.42, issue.2, pp.87-91, 1985.

K. Tai, A. Hasegawa, and N. Bekki, Fission of optical solitons induced by stimulated Raman effect, Optics Letters, vol.13, issue.5, pp.392-394, 1988.
DOI : 10.1364/OL.13.000392

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber, IEEE Journal of Quantum Electronics, vol.23, issue.11, pp.1938-1946, 1987.
DOI : 10.1109/JQE.1987.1073262

M. N. Islam, G. Sucha, I. Bar-joseph, M. Wegener, J. P. Gordon et al., Broad bandwidths from frequency-shifting solitons in fibers, Optics Letters, vol.14, issue.7, pp.370-372, 1989.
DOI : 10.1364/OL.14.000370

J. P. Gordon, Theory of the soliton self-frequency shift, Optics Letters, vol.11, issue.10, pp.662-664, 1986.
DOI : 10.1364/OL.11.000662

A. C. Judge, O. Bang, and C. M. De-sterke, Theory of dispersive wave frequency shift via trapping by a soliton in an axially nonuniform optical fiber, Journal of the Optical Society of America B, vol.27, issue.11, pp.2195-2202, 2010.
DOI : 10.1364/JOSAB.27.002195

R. R. Alfano and S. L. Shapiro, Emission in the Region 4000 to 7000 ?? Via Four-Photon Coupling in Glass, Physical Review Letters, vol.24, issue.11, pp.584-587, 1970.
DOI : 10.1103/PhysRevLett.24.584

C. Lin and R. H. Stolen, New nanosecond continuum for excited???state spectroscopy, Applied Physics Letters, vol.28, issue.4, pp.216-218, 1976.
DOI : 10.1063/1.88702

J. K. Ranka, R. S. Windeler, and A. J. Stenz, Visible continuum generation in air???silica microstructure optical fibers with anomalous dispersion at 800 nm, Optics Letters, vol.25, issue.1, pp.25-27, 2000.
DOI : 10.1364/OL.25.000025

M. H. Frosz, O. Bang, and A. Bjarklev, Soliton collision and Raman gain regimes in continuous-wave pumped supercontinuum generation, Optics Express, vol.14, issue.20, pp.9391-9407, 2006.
DOI : 10.1364/OE.14.009391.m001

J. K. Lucek and K. J. Blow, Soliton self-frequency shift in telecommunications fiber, Physical Review A, vol.45, issue.9, pp.6666-6674, 1992.
DOI : 10.1103/PhysRevA.45.6666

C. Chen and P. L. Kelley, Nonlinear pulse compression in optical fibers: scaling laws and numerical analysis, Journal of the Optical Society of America B, vol.19, issue.9, pp.1961-1967, 2002.
DOI : 10.1364/JOSAB.19.001961

N. Akmediev and M. Karlsson, Cherenkov radiation emitted by solitons in optical fibers, Physical Review A, vol.51, issue.3, pp.2602-2607, 1995.
DOI : 10.1103/PhysRevA.51.2602

N. N. Akhmediev and A. Ankiewicz, Solitons : Nonlinear pulses and beams, 1997.

F. Biancalana, D. V. Skryabin, and A. V. Yulin, Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers, Physical Review E, vol.70, issue.1, p.16615, 2004.
DOI : 10.1103/PhysRevE.70.016615

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. Russell, Soliton Self-Frequency Shift Cancellation in Photonic Crystal Fibers, Science, vol.301, issue.5640, pp.1705-1708, 2003.
DOI : 10.1126/science.1088516

A. V. Gorbach and D. V. Skryabin, Light trapping in gravity-like potentials and expansion of supercontinuum spectra in photonic-crystal fibres, Nature Photonics, vol.83, issue.11, pp.653-657, 2007.
DOI : 10.1038/nphoton.2007.202

N. Nishizawa and T. Goto, Characteristics of pulse trapping by use of ultrashort soliton pulses in optical fibers across the zero-dispersion wavelength, Optics Express, vol.10, issue.21, pp.1151-1159, 2002.
DOI : 10.1364/OE.10.001151.m003

A. Schwache and F. Mitschke, Properties of an optical soliton gas, Physical Review E, vol.55, issue.6, pp.7720-7725, 1997.
DOI : 10.1103/PhysRevE.55.7720

S. V. Chernikov and P. V. Mamyshev, Femtosecond soliton propagation in fibers with slowly decreasing dispersion, Journal of the Optical Society of America B, vol.8, issue.8, pp.1633-1641, 1991.
DOI : 10.1364/JOSAB.8.001633

J. C. Travers, J. M. Stone, A. B. Rulkov, B. A. Cumberland, A. K. George et al., Optical pulse compression in dispersion decreasing photonic crystal fiber, Optics Express, vol.15, issue.20, pp.13203-13211, 2007.
DOI : 10.1364/OE.15.013203

W. Xu, Q. Guo, C. Liao, and S. Liu, Suppression of the Raman selffrequency shift of soliton propagation in single mode optical fiber, Chin. Phys. Lett, vol.12, issue.2, pp.113-115, 1995.

A. Kudlinski, A. K. George, J. C. Knight, J. C. Travers, A. B. Rulkov et al., Zero-dispersion wavelength decreasing photonic crystal fibers for ultraviolet-extended supercontinuum generation, Optics Express, vol.14, issue.12, pp.5715-5722, 2006.
DOI : 10.1364/OE.14.005715

A. C. Judge, O. Bang, B. J. Eggleton, B. T. Kuhlmey, E. C. Mägi et al., Optimization of the soliton self-frequency shift in a tapered photonic crystal fiber, Journal of the Optical Society of America B, vol.26, issue.11, pp.2064-2071, 2009.
DOI : 10.1364/JOSAB.26.002064

S. Afshar, V. , and T. M. Monro, A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part I: Kerr nonlinearity, Optics Express, vol.17, issue.4, pp.2298-2318, 2009.
DOI : 10.1364/OE.17.002298

M. D. Turner, T. M. Monro, S. Afshar, and V. , A full vectorial model for pulse propagation in emerging waveguides with subwavelength structures part II: Stimulated Raman Scattering, Optics Express, vol.17, issue.14, pp.11565-11581, 2009.
DOI : 10.1364/OE.17.011565

V. P. Tzolov, M. Fontaine, N. Godbout, and S. Lacroix, Nonlinear self-phase-modulation effects: a vectorial first-order perturbation approach, Optics Letters, vol.20, issue.5, pp.456-458, 1995.
DOI : 10.1364/OL.20.000456

J. Laegsgaard, N. A. Mortensen, and A. Bjarklev, Mode areas and field-energy distribution in honeycomb photonic bandgap fibers, Journal of the Optical Society of America B, vol.20, issue.10, pp.2037-2045, 2003.
DOI : 10.1364/JOSAB.20.002037

F. Luan, A. K. George, T. D. Hedley, G. J. Pearce, D. M. Bird et al., All-solid photonic bandgap fiber, Optics Letters, vol.29, issue.20, pp.2369-2371, 2004.
DOI : 10.1364/OL.29.002369

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski et al., Overview on Solid Core Photonic BandGap Fibers, Fiber and Integrated Optics, vol.28, issue.1, pp.27-50, 2009.
DOI : 10.1080/01468030802272518

A. Fuerbach, P. Steinvurzel, J. A. Bolger, A. Nulsen, and B. J. Eggleton, Nonlinear propagation effects in antiresonant high-index inclusion photonic crystal fibers, Optics Letters, vol.30, issue.8, pp.830-832, 2005.
DOI : 10.1364/OL.30.000830

A. S. Cerqueira, C. M. Cordetro, F. Biancalana, P. J. Roberts, H. E. Hernandez-figueroa et al., Nonlinear interaction between two different photonic bandgaps of a hybrid photonic crystal fiber, Optics Letters, vol.33, issue.18, pp.2080-2082, 2008.
DOI : 10.1364/OL.33.002080

P. D. Rasmussen, J. Laegsgaard, and O. Bang, Degenerate four wave mixing in solid core photonic bandgap fibers, Optics Express, vol.16, issue.6, pp.4059-4068, 2008.
DOI : 10.1364/OE.16.004059

A. Bétourné, Y. Quiquempois, G. Bouwmans, and M. Douay, Design of a photonic crystal fiber for phase-matched frequency doubling or tripling, Optics Express, vol.16, issue.18, pp.14255-14262, 2008.
DOI : 10.1364/OE.16.014255

A. S. Cerqueira, F. Luan, C. M. Cordeiro, A. K. George, and J. C. Knight, Hybrid photonic crystal fiber, Optics Express, vol.14, issue.2, pp.926-931, 2006.
DOI : 10.1364/OPEX.14.000926.m001

L. Xiao, W. Jin, and M. S. Demokan, Photonic crystal fibers confining light by both index-guiding and bandgap-guiding: hybrid PCFs, Optics Express, vol.15, issue.24, pp.15637-15647, 2007.
DOI : 10.1364/OE.15.015637

URL : http://ira.lib.polyu.edu.hk/bitstream/10397/4561/1/Xiao_Photonic_crystal_fibers.pdf

K. Blow, N. J. Doran, and D. Wood, Suppression of the soliton self-frequency shift by bandwidth-limited amplification, Journal of the Optical Society of America B, vol.5, issue.6, pp.1301-1304, 1988.
DOI : 10.1364/JOSAB.5.001301

A. S. Gouveia-neto, A. S. Gomes, and J. R. Taylor, Suppression and manipulation of the soliton self-frequency shift, Optics Letters, vol.14, issue.10, pp.514-516, 1989.
DOI : 10.1364/OL.14.000514

D. Schadt and B. Jaskorzynska, Suppression of the Raman self-frequency shift by cross-phase modulation, Journal of the Optical Society of America B, vol.5, issue.11, pp.2374-2378, 1988.
DOI : 10.1364/JOSAB.5.002374

M. Ding and K. Kikuchi, Analysis of soliton transmission in optical fibers with the soliton self-frequency shift being compensated by distributed frequency dependent gain, IEEE Photonics Technology Letters, vol.4, issue.5, pp.497-500, 1992.
DOI : 10.1109/68.136499

H. N. Paulsen, K. M. Hilligse, J. Thogersen, S. R. Keiding, and J. J. Larsen, Coherent anti-Stokes Raman scattering microscopy with a photonic crystal fiber based light source, Optics Letters, vol.28, issue.13, pp.1123-1125, 2003.
DOI : 10.1364/OL.28.001123

M. Okuno, H. Kano, P. Leproux, V. Couderc, and H. Hamaguchi, Ultrabroadband multiplex CARS microspectroscopy and imaging using a subnanosecond supercontinuum light source in the deep near infrared, Optics Letters, vol.33, issue.9, pp.923-925, 2008.
DOI : 10.1364/OL.33.000923

URL : https://hal.archives-ouvertes.fr/hal-00340157

G. Humbert, W. Wadsworth, S. Leon-saval, J. Knight, T. Birks et al., Supercontinuum generation system for optical coherence tomography based on tapered photonic crystal fibre, Optics Express, vol.14, issue.4, pp.1596-1603, 2006.
DOI : 10.1364/OE.14.001596

URL : https://hal.archives-ouvertes.fr/hal-00712121

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley et al., Direct detection of optical rogue wave energy statistics in supercontinuum generation, Electronics Letters, vol.45, issue.4, pp.217-219, 2009.
DOI : 10.1049/el:20093582

URL : https://hal.archives-ouvertes.fr/hal-00376291

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Optical rogue waves, Nature, vol.24, issue.7172, pp.1054-1058, 2007.
DOI : 10.1038/nature06402

J. M. Dudley, G. Genty, and B. J. Eggleton, Harnessing and control of optical rogue waves in supercontinuum generation, Optics Express, vol.16, issue.6, pp.3644-3651, 2008.
DOI : 10.1364/OE.16.003644

URL : https://hal.archives-ouvertes.fr/hal-00336489

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay et al., Observation of extreme temporal events in CW-pumped supercontinuum, Optics Express, vol.17, issue.19, pp.17010-17015, 2009.
DOI : 10.1364/OE.17.017010.m001

G. Genty, C. De-sterke, O. Bang, F. Dias, N. Akhmediev et al., Collisions and turbulence in optical rogue wave formation, Physics Letters A, vol.374, issue.7, pp.989-996, 2010.
DOI : 10.1016/j.physleta.2009.12.014

URL : https://hal.archives-ouvertes.fr/hal-00452627

M. Erkintalo, G. Genty, and J. Dudley, On the statistical interpretation of optical rogue waves, The European Physical Journal Special Topics, vol.24, issue.1, pp.135-144, 2010.
DOI : 10.1140/epjst/e2010-01244-9

URL : https://hal.archives-ouvertes.fr/hal-00517675

K. Hammani, B. Kibler, C. Finot, and A. Picozzi, Emergence of rogue waves from optical turbulence, Physics Letters A, vol.374, issue.34, pp.3585-3589, 2010.
DOI : 10.1016/j.physleta.2010.06.035

URL : https://hal.archives-ouvertes.fr/hal-00491491

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov et al., Third-order dispersion for generating optical rogue solitons, Physics Letters A, vol.374, issue.4, pp.691-695, 2010.
DOI : 10.1016/j.physleta.2009.11.058

M. Joffre, L'optique linéaire en régime femtoseconde, Ecole des Houches, 2009.

A. Argyros, T. Birks, S. Leon-saval, C. M. Cordeiro, and P. S. Russell, Guidance properties of low-contrast photonic bandgap fibres, Optics Express, vol.13, issue.7, pp.2503-2511, 2005.
DOI : 10.1364/OPEX.13.002503

R. Trebino and D. J. Kane, Using phase retrieval to measure the intensity and phase of ultrashort pulses: frequency-resolved optical gating, Journal of the Optical Society of America A, vol.10, issue.5, pp.1101-1111, 1993.
DOI : 10.1364/JOSAA.10.001101

R. Trebino, K. W. Delong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel et al., Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating, Review of Scientific Instruments, vol.68, issue.9
DOI : 10.1063/1.1148286

S. Linden, H. Giessen, and J. Kuhl, XFROG ? A New Method for Amplitude and Phase Characterization of Weak Ultrashort Pulses, physica status solidi (b), vol.206, issue.1, pp.119-124, 1998.
DOI : 10.1002/(SICI)1521-3951(199803)206:1<119::AID-PSSB119>3.0.CO;2-X

R. A. Altes, Detection, estimation, and classification with spectrograms, The Journal of the Acoustical Society of America, vol.67, issue.4, pp.1232-1246, 1980.
DOI : 10.1121/1.384165