“…To overcome the drawbacks of linear sea surface model, several nonlinear hydrodynamic models have been proposed, such as Creamer model [19] as well as its simplified version (Creamer model at second-order) [12], choppy wave model (CWM) [20] as well as its improved version (C2WM) [18], West model [21], narrow-band Lagrange model [22], and nonlinear fractal sea surface model [23]. These models have been extensively utilized to better predict Doppler spectra of sea echoes for both 1-D [13,17,18,[22][23][24][25] and 2-D sea surfaces [12,[26][27][28][29] with analytical models or numerical algorithms, in particular for low-grazing case. Not surprisingly, the Doppler spectra obtained by nonlinear sea surface models are more consistent with measurements in comparison with linear sea surface model.…”