The difference equation with nine-point mesh of electromagnetic scattering from two-dimensional transversally anisotropic medium is derived in this paper.Themeasured equation of invariance and the difference equation are used to analyze electromagnetic scattering from transversally anisotropic medium cylinders with arbitrary section
inhomogeneous
lossy and general electromagnetic parameters. Some results obtained for canonical anisotropic structures are given. The results show that this method is avail and have advantage in anlyzing and calculating this kind of problems.