On rotational normal modes of the Earth：Resonance,excitation,convolution, deconvolution and all that

作     者：Benjamin Fong Chao 

作者机构：Institure of Earth Sciences Academia Sinica Taipei Taiwan China 

出 版 物：《Geodesy and Geodynamics》 (大地测量与地球动力学（英文版）)

年 卷 期：2017年第8卷第6期

页      面：371-376页

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 

基　　金：supported by the Taiwan Ministry of Science and Technology via grant#104-2116-M-001-006 

主　　题：Rotational modes Resonance Excitation Convolution Deconvolution 

摘      要：Earth＇s Coriolis force profoundly alters the eigen frequencies, eigen functions, and excitation of rotational normal modes. Some rotational modes of the solid mantle-fluid outer core-solid inner core Earth system are confirmed observationally and some remain elusive. Here we bring together from literature assertions about an excited resonance system in terms of the Green＇s function and temporal convolution. We raise caveats against taking the face values of the oscillational motion which have been ＂masqueraded＂ by the convolution, necessitating deconvolution for retrieving the excitation function which reflects the true variability. Lastly we exemplify successful applications of the deconvolution in estimating resonance complex frequencies.