  We compute, at the first order in the fine structure constant, the parameters
of the electromagnetic Lagrangian for the inhomogeneous
Larkin-Ovchinnikov-Fulde-Ferrell phase in Quantum Chromodynamics (QCD) and in
condensed matter. In particular we compute for QCD with two flavors the
dielectric and the magnetic permeability tensors, and for condensed matter
superconductors the penetration depth of external magnetic fields.
