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   "name": "Surface\u2010wave Green\u2019s tensors in the near field",
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   "abstract": "We demonstrate the connection between theoretical expressions for the correlation of ambient noise Rayleigh and Love waves and the exact surface\u2010wave Green\u2019s tensors for a point force. The surface\u2010wave Green\u2019s tensors are well known in the far\u2010field limit. On the other hand, the imaginary part of the exact Green\u2019s tensors, including near\u2010field effects, arises in correlation techniques such as the spatial autocorrelation (SPAC) method. Using the imaginary part of the exact Green\u2019s tensors from the SPAC method, we find the associated real part using the Kramers\u2013Kronig relations. The application of the Kramers\u2013Kronig relations is not straightforward, however, because the causality properties of the different tensor components vary. In addition to the Green\u2019s tensors for a point force, we also derive expressions for a general point moment tensor source.",
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