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A new method for the analysis of arbitrary shaped multilayered printed antennas is presented. It is also applicable to numerous other radiation and scattering problems. Admittance matrices of the differential surface elements of homogeneous and isotropic sections are computed using the surface equivalence principle and Green's functions of homogeneous space. Then, using multiple network theory, the overall characteristic of the composite antenna is derived. In this method, we do not need the Green's functions of composite materials and the calculation of Sommerfeld-type integrals. Additionally, all the field parameters are represented in terms of surface parameters, and the singularity of the source elements is analytically removed.