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The plane wave shielding effectiveness of two new materials, conductive polymers polyacetylene and PBT doped by ion implantation with iodine, is evaluated as a function of frequency, electrical thickness, doping, polarization, and angle of incidence. Conductivity of the polymers, measured in previous investigations by the cavity perturbation technique, is used to compute the overall reflection and transmission coefficients of single and multiple layers of the polymers. The polymers are found to display excellent shielding effectiveness (better than 40 dB over a substantial frequency band). With recent advances in synthesizing stable highly conductive polymers these light-weight mechanically strong materials appear to be viable alternatives to metals for EMI shielding.< >