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单程波算子的可分近似形式是关于空间变量和波数变量的函数,这使得快速傅里叶变换的利用成为可能,从而极大提高了计算效率。从函数近似的角度来看,最优可分近似方法与其他几种可分近似方法一样都具有单程波算子可分表达的形式,但最优可分近似方法是其中唯一的函数整体近似的方法,这就造成了该方法在相位误差曲线、脉冲响应、模型偏移结果上表现出与其他可分近似方法不一样的特征:该方法精度较高,且随着阶数的增大,对速度变化的敏感度降低。
The separable approximation of the one-way wave operator is a function of the spatial and wavenumber variables, which makes it possible to use the Fast Fourier Transform, thereby greatly increasing computational efficiency. From the point of view of function approximation, the optimal separable approximation method has the separable expression of one-way wave operator as several other separable approximation methods, but the optimal separable approximation method is the one in which the only function approximates Method, which results in the phase error curve, impulse response, model offset results show that the method is not the same with other separable approximation method: the accuracy of the method is high, and as the order increases, the Sensitivity to speed changes decreases.