Radial profiles of physical parameters for the four accretion disk models used in blocking factor calculations. Top left: Case 1 (thin disk, Shakura & Sunyaev (1973) Region a)). Top right: Case 2 (thick disk, Shakura & Sunyaev (1973) Region b)). Bottom left: Case 3 (thick disk, Shakura & Sunyaev (1973) Region c)). Bottom right: Case 4 (ADAF thick disk, Narayan & Yi (1994)). Each panel shows the normalized radial dependence of scale height z₀ (solid line), temperature T (dashed line), and volume density ρ₀ (dotted line) as functions of the normalized radial coordinate R/R₀, where R₀ ≈ 12 km. All quantities are scaled to their respective maximum values within this radial range to facilitate comparison between models. The disk models span a wide range of physical conditions, from geometrically thin configurations (Case 1) to highly inflated thick-disk structures (Case 4). Standard parameters (α_v) = 0.1 and Ṁ = 0.25 Ṁ_Edd ≈ 9.1 × 10⁻⁹ M_⊙ yr⁻¹ are adopted throughout. See Table A.1 for complete parameter expressions and model specifications.