We discuss the coupled-mode properties of two-parallel circular anisotropic dielectric waveguides in this paper.The couple-mode equations are deduced by using the coupled-mode theory of singular perturbation technique.We have obtained the coupled-mode equation by using the eigenvalues and eigenvectors
and given a theoretical analysis.According to our analysis
there are both directional coupling and orthogonally polarized mode coupling between waveguides in two parallel circular dielectric waveguides with a weak rotatory effect
and the coupling is governed by the polarization independent coupling coefficient between two waveguides without the rotatory effect
which is the correction and the coupling coefficient which is the coupling coefficient between two orthogonal modes in the isolated waveguide under the presence of the rotatory permittivity.
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