The absorption performance is going to decline when the composite absorbing metamaterial is in conformity with a cylindrical carrier.A non-uniform structure for conformal composite absorbing metamaterial and its optimization design is proposed to improve the wideband absorbing property.The periodic boundary conditions are established based on the periodicity in the direction of no curvature change.The number of sub-blocks parted by the characteristic basis function method is compressed by the periodical boundary conditions

and the dimension of the inverse of impedance matrix is also reduced to accelerate the optimization.A prototype is fabricated and measured with the optimized parameters given by genetic algorithm.The simulated and measured results show the proposed conformal absorbing material improves the influence of the cylindrical conformal and reduces the radar cross section in 2.8~8.0GHz for different polarized incidence.