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The anisotropies in the cosmic microwave background (CMB) provide our bestlaboratory for testing models of the formation and evolution of large-scalestructure. The rich features in the cosmic microwave background anisotropyspectrum, in combination with highly precise observations and theoreticalpredictions, also allow us to simultaneously constrain a number of cosmologicalparameters. As observations have progressed, measurements at smaller angularscales have provided increasing leverage. These smaller angular scales providesensitive measures of the matter density through the effect of gravitationallensing. In this work we provide an analytic explanation of the manner in whichthe lensing of CMB anisotropies depends on the matter density, finding that thedominant effect comes from the shape of the matter power spectrum set by thedecay of small-scale potentials between horizon crossing and matter-radiationequality.

Dependence of the Cosmic Microwave Background Lensing Power Spectrum on the Matter Density