The SZE brightness radial profile of the Bullet cluster at 350 μm (upper panel) and at 500 μm (lower panel). The dot-dashed curve corresponds to the form of the brightness profile produced by a thermal plasma adopting the structure parameters given by Halverson et al. (2009), with arbitrary normalization. The dashed curve corresponds to the fit to the data obtained using a model as in Eq. (7), with S₀ = 0.08 ± 0.02 MJy sr^-1, θ_c = 3.96 ± 1.84 arcmin, and q′ = 2.7 ± 1.8 for 350 μm, and S₀ = 0.32 ± 0.04 MJy sr^-1, θ_c = 1.05 ± 0.12 arcmin, and q′ = 0.6 ± 0.3 for 500 μm.