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An integral eqnation approach is nsed to str~dy the radiation and matching characteristics of an electrou~agnetically conpled dipole antenna. The clipole is located on top of a generalized anisotropic superstrate, which is itself on top of a gro~~nrletl isotropic substrate. The feeding trans~nission line lies a t the interface between these two layers. The integral equation is solved rigoror~sly using the method of nlon~ents to find the current distribution on both conductors. Nonreciprocal transmission line analysis is then used to quantify how well the n~icrostrip tlipole antl transmission line are matched b.uecl on the current clistril)ntion. Special considerations antl advantages in the design of this type of antenna are discwsetl.