The power spectrum of the fractal sea-wave model is unable to satisfy the positive power law when spatial wave numbers are smaller than the fundamental wave number.To address this problem

a one-dimensional sea-wave model was proposed by combining the statistical sea model and the normalization band-limited Weierstrass-Mandelbrot fractal sea model.With the proposed method

the closed form expression of the power sea-wave spectrum was calculated

and the power sea-wave spectrum was compared with the results in literature.Electromagnetic scattering coefficient of the improved model based on the Kirchhoff approximation was derived.The Hurst parameters of the scattering coefficient against time were calculated and its fractal dimension was derived.Simulation results show that the power sea-wave spectrum corresponds to the common spectrum of Pierson-Moskowitz and the real data of the South China Sea.Thus

the accuracy of the improved model was validated.The received signal against time was plotted as the fractal curve

whose fractal dimension is equal to that of the sea surface.