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Blazar spectra are one of the most important windows into the physicalprocesses occurring along jets. The spectrum, composed from the differentemitting regions along the jet, allows us to constrain the physical conditionsin the jet. I present my work modelling blazar spectra using an extendedinhomogeneous jet model with an accelerating, magnetically dominated, parabolicbase transitioning to a slowly decelerating, conical section motivated byobservations, simulations and theory. We set the inner geometry of ourmulti-zone model using observations of the jet in M87 which transitions fromparabolic to conical at 10^5 Schwarzschild radii. This model is able toreproduce quiescent blazar spectra very well across all wavelengths (includingradio observations) for a sample of 42 BL Lacs and FSRQs.  Using this inhomogeneous model we are able to constrain the location at whichthe synchrotron emission is brightest in these jets by fitting to the opticallythick to thin synchrotron break. We find that the radius of the jet at whichthe synchrotron emission is brightest (where the jet first approachesequipartition) scales approximately linearly with the jet power. We also find acorrelation between the length of the accelerating, parabolic section of thejet and the maximum bulk Lorentz factor. In agreement with previous work wefind that BL Lacs are low power blazars whereas FSRQs are high power blazars.Together with our simple jet power-radius relation this leads us to a deeperunderstanding of the physics underlying the blazar sequence.

Uncovering the physics behind the blazar sequence using a realistic model for jet emission