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Published online by Cambridge University Press: 07 February 2017
We point out the existence of a natural low-frequency cutoff in the spectrum of a synchrotron source. The turnover frequency is eB/mc 〈sin Ψ〉, where Ψ is the pitch angle for the electron motion. The spectrum below the turnover goes as vn, where n is the index in the electron energy distribution. For the Crab pulsar, a model with B ~ 106–107G and 〈sin Ψ〉 ~ 10-3–10-2 provides a plausible explanation for the turnover observed in the infrared.