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We have derived a useful analytic approximation for determining the effect of intergalactic absorption on the γ-ray spectra of TeV blazars the energy range 0.2 TeV < Eγ < 2 TeV and the redshift range 0.05 < z < 0.4. In these ranges, the form of the absorption coeffcient τ (Eγ) is approximately logarithmic. The effect of this energy dependence is to steepen intrinsic source spectra such that a source with an approximate power-law spectral index Γs is converted to one with an observed spectral index Γo Γs + ΔΓ(z) where ΔΓ(z) is a linear function of z in the redshift range 0.05-0.4. We apply this approximation to the spectra of 7 TeV blazars.

Power-law to Power-law Mapping of Blazar Spectra from Intergalactic Absorption