Abstract
Mirrorsymmetric matrices, which are the interaction matrices of mirrorsymmetric structures, are defined in this paper. The well-known centrosymmetric matrices, which can only reflect the mirror reflection relations of mirrorsymmetric structures with no component or one component on the mirror plane, are special cases of mirrorsymmetric matrices. However, almost all the properties of centrosymmetric matrices can be directly generalized to mirrorsymmetric matrices. It is proved that the eigenvectors of a mirrorsymmetric matrix are either mirrorsymmetric or skew-mirrorsymmetric corresponding to even-modes and odd-modes of the real physical systems. The application on odd/even-mode decomposition of symmetric multiconductor transmission lines is investigated in detail.
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