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We provide an analytical approach to the second-order cosmic microwave background (CMB) anisotropies generated by the non-linear dynamics taking place at last scattering. We study the acoustic oscillations of the photon–baryon fluid in the tight coupling limit and we extend at second order the Meszaros effect. We allow for a generic set of initial conditions due to primordial non-Gaussianity and we compute all of the additional contributions arising at recombination. Our results are useful to provide the full second-order radiation transfer function at all scales necessary for establishing the level of non-Gaussianity in the CMB

CMB anisotropies at second-order II: analytical approach