F. Nouguier, S. T. Grilli, and C. Guérin, Nonlinear ocean wave reconstruction algorithms based on spatiotemporal data acquired by a flash lidar camera, IEEE Transactions on Geoscience and Remote Sensing, vol.52, issue.3, pp.1761-1771, 2014.

F. Nouguier, C. Guérin, C. , and B. , choppy wave" model for nonlinear gravity waves, Journal of Geophysical Research, vol.114, pp.1-16, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01345520

F. Nouguier, C. Guérin, C. , and B. , Scattering from nonlinear gravity waves: the "choppy wave" model, IEEE Transactions on Geoscience and Remote Sensing, vol.48, issue.12, pp.4184-4192, 2010.

N. Booij, L. Holthuijsen, and R. Ris, Thë swan?ave model for shallow water, Coastal Engineering Proceedings, issue.25, p.1, 2001.

A. Chawla, H. L. Tolman, V. Gerald, D. Spindler, T. Spindler et al., A multigrid wave forecasting model: A new paradigm in operational wave forecasting, vol.28, pp.1057-1078, 2013.

G. Ducrozet, F. Bonnefoy, D. Le-touzé, and P. Ferrant, Hos-ocean: Open-source solver for nonlinear waves in open ocean based on high-order spectral method, Physics Communications, vol.203, pp.245-254, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01299487

E. Blondel, F. Bonnefoy, and P. Ferrant, Deterministic non-linear wave prediction using probe data, Ocean Engineering, vol.37, pp.913-926, 2010.

K. Takagi, S. Hamamichi, R. Wada, and Y. Sakurai, Prediction of wave time-history using multipoint measurements, Ocean Engineering, vol.140, pp.412-418, 2017.

A. Simanesew, K. Trulsen, H. E. Krogstad, and J. C. Borge, Surface wave predictions in weakly nonlinear directional seas, Applied Ocean Research, vol.65, pp.79-89, 2017.

H. Dankert, J. Horstmann, and W. Rosenthal, Wind-and wave-field measurements using marine x-band radar-image sequences, IEEE Journal of Oceanic Engineering, vol.30, issue.3, pp.534-542, 2005.

W. Xiao, Y. Liu, and D. K. Yue, Large-scale deterministic predictions of nonlinear ocean wave-fields, DoD High Performance Computing Modernization Program Users Group Conference, pp.317-324, 2010.

T. Hilmer and E. Thornhill, Deterministic wave predictions from the wamos ii, pp.1-8, 2014.

Y. Qi, W. Xiao, and D. K. Yue, Phase-resolved wave field simulation calibration of sea surface reconstruction using noncoherent marine radar, Journal of Atmospheric and Ocean Technology, vol.33, pp.1135-1149, 2016.

S. T. Grilli, C. Guérin, and B. Goldstein, Ocean wave reconstruction algorithms based on spatio-temporal data acquired by a flash lidar camera, Proceedings of the Twenty-first International Offshore and Polar Engineering Conference (ISOPE2011), International Society of Offshore and Polar Engineers, pp.275-282, 2011.

G. Wu, Direct simulation and deterministic prediction of large-scale nonlinear ocean wave-field". PhD Thesis, 2004.

E. Blondel, Reconstruction et prévision déterministe de houleà partir de données mesurées, 2009.

Y. Qi, G. Wu, Y. Liu, and D. K. Yue, Predictable zone for phase-resolved reconstruction and forecast of irregular waves, 2017.

S. H. Gjosund, A lagrangian model for irregular waves and wave kinematics, Journal of Offshore Mechanics and Arctic Engineering, vol.125, pp.94-102, 2003.

W. J. Pierson, Models of random seas based on the lagrangian equations of motion, 1961.

W. J. Pierson, Perturbation analysis of the navierstokes equations in lagrangian form with selected linear solutions, Journal of Geophysical Research, vol.67, issue.8, pp.3151-3160, 1962.

F. Nouguier, B. Chapron, and C. Guérin, Second-order lagrangian description of tri-dimensional gravity wave interactions, Journal of Fluid Mechanics, vol.772, pp.165-195, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01203103

M. S. Longuet-higgins, Eulerian and lagrangian aspects of surface waves, Journal of Fluid Mechanics, vol.173, pp.683-707, 1986.

C. Guérin, N. Desmars, S. Grilli, G. Ducrozet, Y. Pérignon et al., An improved "choppy wave" model for the time evolution of nonlinear surfaces, Preparation

K. Hasselmann, T. Barnet, E. Bouws, H. Carlson, D. Cartwright et al., Measurements of wind-wave growth and swell decay during the joint north sea wave project (jonswap), 1973.

D. Calvetti, L. Reichel, and A. Shuibi, L-curve and curvature bounds for tikhonov regularization, Numerial Algorithms, vol.35, pp.301-314, 2004.

P. C. Hansen, Computational inverse problems in electrocardiology, p. r. johnston ed. WIT Press, Chap. The L-curve and Its Use in the Numerical Treatment of Inverse Problems, pp.119-142, 2001.

D. G. Dommermuth and D. K. Yue, A highorder spectral method for the study of nonlinear gravity waves, Journal of Fluid Mechanics, vol.184, p.267288, 1987.

B. J. West, K. A. Brueckner, R. S. Janda, D. M. Milder, and R. L. Milton, A new numerical method for surface hydrodynamics, Journal of Geophysical Research: Oceans, vol.92, issue.C11, pp.11803-11824, 1987.

G. Ducrozet, F. Bonnefoy, D. Le-touzé, and P. Ferrant, 3-d hos simulations of extreme waves in open seas, Natural Hazards and Earth System Sciences, vol.7, pp.109-122, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00330919

F. Bonnefoy, G. Ducrozet, D. Le-touzé, and P. Ferrant, Advances in Numerical Simulation of, Chap. Time-Domain Simulation of Nonlinear Water Waves Using Spectral Methods, vol.11, pp.129-164, 2009.

E. Blondel-couprie, F. Bonnefoy, and P. Ferrant, Experimental validation of non-linear deterministic prediction schemes for long-crested waves, Ocean Engineering, vol.58, pp.284-292, 2013.

Y. Qi, G. Wu, Y. Liu, M. Kim, and D. K. Yue, Nonlinear phase-resolved reconstruction of irregular water waves, Journal of Fluid Mechanics, vol.838, p.544572, 2018.