Imaginary part of the infrared conductivity of a d(x(2)-y(2)) superconductor

We give results for the effect of Born and of resonant impurity scattering on the imaginary part of the infrared conductivity sigma(Omega) of a d(x2-y2) superconductor. Inelastic scattering is included in our work through an electron-boson spectral density which also causes the pairing. We emphasize the product of Omega times the imaginary past of sigma(R). Its zero frequency limit gives the penetration depth, while around twice the gap value it shows smooth behavior as is observed in YBa2Cu3O6.95, which has d(x2-y2) symmetry. This is in sharp contrast to the case of an s-wave superconductor which would display a sharp characteristic dip at this energy as seen in BaKBiO.