Connection between the form of modified exponential (modexp) profiles and the resulting δ_io for the disk. upper panel: Modified exponential profiles (Eq. (4)) with a central intensity depression ϵ₁ of 0.84 and 0.99 (solid and dotted curves, respectively) and a cutoff radius ϵ₂ of 0.67, 1.0, and 1.5 α (blue, orange, and red, respectively), with α (20″≡ R_B for the synthetic SBP in Fig. 8) denoting the exponential scale length of the disk. lower panel:ϵ₁ vs. depression δμ₀ of the central surface brightness of a modexp profile relative to a purely exponential profile (dots). Curves show the variation across ϵ₁ of the difference δ_io (mag) between the integrated magnitude within R_B of modexp profiles and the value corresponding to a pure exponential profile. For an ϵ₂ ≥ 1, the disk dims by between 0.9 mag (ϵ₁ = 0.84) and 2.5 mag (ϵ₁ = 0.99).