[[abstract]]We studied the optical conductivity and the penetration depth on pnictide superconductors based on the two-orbital model proposed by S. Raghu et al. Taking into account the D4 symmetry of the crystals, various possible pairing symmetries are considered. We have found that the real part of optical conductivity σ1(ω) has a strong peak near zero frequency for the case of nodal gaps. For the case of nodeless gaps, σ1(ω) is essentially zero for ω≦2△0 for the intraband contribution. Nevertheless, interband contribution seems to dominate in most cases in these materials. In the study of the penetration depth, we have obtained that the penetration depth λ^2(0)/λ^2(T) behaves exponentially down to zero temperature for nodeless gaps, while λ^2(0)/λ^2(T) has linear temperature dependence at very low temperature.
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