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The dispersive characteristics of multilayered bilateral anisotropic coplanar couplers are determined using the spectral domain method. The dyadicadmittance Green's function is derived for both open and shielded couplers by extending the immittance-approach technique to multilayered structures via a recursive process that takes into account the anisotropy of the material. The number of dielectric layers is arbitrary and can be chosen by the designer. Explicit algorithms and numerical results are provided that describe the propagation characteristics of these structures for both electric and magnetic wall symmetries. The convergence and CPU times are also investigated.