【作者】 徐果明；

【Author】 Xu Guoming (Department of Earth and Space Sciences,University of Science and Technology of China Hefei,230026)

【机构】 中国科学技术大学地球和空间科学系；

【摘要】 本文指出了在一般的各向异性耗散的层状介质中系统方程中的系统矩阵和介质层的传递矩阵的副对称特性,指出了运动应力向量在什么样的表达形式下具有此种副对称特性。对于单斜对称介质(包括正交对称、六角对称、横向各向同性介质和各向同性介质),其系统矩阵在一类运动应力向量的定义下不但具有副对称性,而且其左上角和右下角子矩阵为零矩阵;讨论了单斜对称介质系统矩阵的一系列性质。证明了对于一般的各向异性耗散均匀单层介质,其传播矩阵亦具有副对称性。对于单斜对称耗散单层或多层介质,给出了由传播矩阵计算其逆矩阵和由系统矩阵的本征向量矩阵计算其逆矩阵的简便方法。更多还原

【Abstract】 We reveal the"auxiliary"symmetric properties of the system matrix and the propagator matrix for a general anisotropicdissipative medium and point out that under what kind of theexpression form of the motionstress vector such symmetricproperties will appeal.For a monoclinic medium(includes theorthorhombic symmetry, hexagonal symmetry,transverse isotropyand isotropy media),under a kind of definition of themotion -stress vector,not only its system matrix possesses theauxiliary symmetric properties,but both the submatrices at theupper left part and at the lower right part are zero metrics.Aseries of properties for the system matrix of the monoclinicmedium are discussed.We prove that the propagator matrix of thegeneral anisotropy dissipative single layer medium is alsoauxiliary symmetric.For single or multi-layered monoclinicsymmetric dissipative medium,a relatively simple matrix methodis utilized to obtain the inverse of propagator matrix and theeigenvector matrix of the system matrix.更多还原