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To accurately describe the high frequency electromagnetic scattering of the radar objects, the full-polarization GTD model is established based on the combination of the full-polarization information and the geometric theory of diffraction model. Meanwhile, A novel method, MUSIC based on polarization linear variation method (PL-MUSIC) is proposed. The estimation accuracy is improved and the computational load is greatly decreased compared with the method extracting the parameters from every polarization channel. Compared with the parallel polarization MUSIC method (PP-MUSIC), the proposed method decreases the computational complexity of the smoothing process and has the close accuracy. Moreover, the spatial spectrum estimation method based on eigenspace is utilized to establish the spectrum function. Simulations and computational load comparison show the validity of the full-polarization GTD model and the advantage of the MUSIC based on polarization linear variation method.