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For explaining the broadband spectral shape of knots in the M87 jet fromradio through optical to X-ray, we propose a modified synchrotron model thatconsiders the integrated effect of particle injection from differentacceleration sources in the thin acceleration region. This results in two breakfrequencies at two sides of which the spectral index of knots in the M87 jetchanges. We discuss the possible implications of these results for the physicalproperties in the M87 jet. The observed flux of the knots in the M87 jet fromradio to X-ray can be satisfactorily explained by the model, and the predictedspectra from ultraviolet to X-ray could be further tested by futureobservations. The model implies that the knots D, E, F, A, B, and C1 areunlikely to be the candidate for the TeV emission recently detected in M87.

A Modified Synchrotron Model for Knots in the M87 Jet