A fast algorithm to compute the wave scattering solution of a large strip

A truncated, nonuniform, finite array of strips does not have a closed-form solution. Using translational symmetry, a recursive algorithm that calculates the scattering solution with N*(log N)*(log N) computational complexity is described. First, the algorithm is validated with the method of mentents for both the TM-to-z and TE-to-z polarizations. Then the scattering solution from a large strip is calculated for both TE and TM polarizations. The current distribution for the TE polarization shows small-length-scale oscillations not presented in the TM polarization.