The recently developed frequency‐Bessel transformation (F‐J) method is effective to extract multimode surface wave dispersion curves from ambient noise cross‐correlation functions (CCFs). However, this method is currently limited to the vertical‐vertical component CCFs, and only Rayleigh wave dispersion curves can be obtained. In this study, we first relate the F‐J spectrogram to the spatial autocorrelation coefficients; we then extend the F‐J method to the full multicomponent CCFs tensor, including the radial‐radial, transverse‐transverse, and the mixed‐component CCFs. Using the newly derived formulation, not only the signal of higher‐mode Rayleigh wave phase velocity dispersion can be enhanced, but also the multimode Love wave phase velocity dispersion curves and the higher‐mode Rayleigh wave ellipticity can be extracted. The formulation is tested in several numerical examples and is applied to field data in North America. Our derivation and formulation provide an extension to the current F‐J method and help to take usage of multicomponent CCFs. The resulting higher‐mode surface wave dispersions and Rayleigh wave ellipticity provide complementary constraint on the Earth structures.

中文翻译：

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来自地震环境噪声的多分量互相关函数的频贝谱

最近开发的频率-贝塞尔变换（F-J）方法可以有效地从环境噪声互相关函数（CCF）中提取多模表面波频散曲线。但是，该方法目前仅限于垂直-垂直分量CCF，并且只能获得瑞利波频散曲线。在这项研究中，我们首先将F‐J频谱图与空间自相关系数相关联；然后，我们将F‐J方法扩展到完整的多分量CCF张量，包括径向-径向，横向和混合分量CCF。使用新推导的公式，不仅可以增强高模瑞利波相速度色散的信号，而且可以提取多模洛夫波相速度色散曲线和高模瑞利波椭圆率。在几个数值示例中对该配方进行了测试，并将其应用于北美的现场数据。我们的推导和公式化为当前的FJ方法提供了扩展，并有助于采用多组分CCF。由此产生的高模表面波色散和瑞利波椭圆率对地球结构提供了补充约束。