Reflecting specular penetration depth of non- uniform d- wave superconductors in external weak magnetic field at zero temperature

We calculate zero temperature reflecting specular penetration depth of non-uniform d- wave superconductors in constant external magnetic field. We suppose that order parameters spatially change. We first obtain Green functions from generalized Gorkov equations and then derive linearized response Kernel of superconductor to external magnetic field. Finally we show that zero temperature penetration depth. This result has a small difference value from zero temperature London penetration depth, λ 0