Detection limits at a fixed position angle θ = 315°: below the contours the P_DET falls below 68% for a fixed P_FA of 1%, represented as a function of the separation and contrast of the companions, for T_E (green), T_B (blue), and T_NP (orange). The dashed lines represent theoretical detection limits for T_E and T_NP (Eqs. (17) and (24)) and the dotted lines present the limits achieved in the MC simulations. T_NP (orange) provides ideal detection limits for a Kernel treatment of a JWST-NIRISS image and the practical test T_B (dotted blue) has contrast detection limits within a factor of 2.5 of the theoretical maximum. The solid lines represent the detection limits for T_B (blue) and T_NP (red) with a calibration residual corresponding to a 16 nm rms wavefront drift.