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Fig. 2.

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Effect of the millilens profile. Comparison of millicaustics for four millilenses under the influence of the same macromodel magnification (|μ1m| = 23) but for different mass, core size Rc, truncation radius Rmax, and exponent α. The profile is defined as ρ(r)∝(Rc + r)α. The image shown in grayscale is the sum of the four magnifications from the four millilenses. The caustics for the two millilenses with mass 104M and slope α = 2 are nearly identical and fall on top of each other, indicating that the mass is the main driver defining the size of the caustic region. The largest millicaustic corresponds to a millilens with four times more mass, and larger core and truncation radii, but the same slope α. The area above μ = 100 is a factor of four larger than in the smaller millilenses. A third millilens with the same mass, Rc, and Rmax but a shallower profile (α = 1.5) behaves as the larger millilens with α = 2 but a mass of 2.93 × 104M, owing to the reduction in mass within the Einstein radius. Even shallower profiles (α ≲ 1) with large cores result in subcritical millilenses (no caustics or cusps). On the other hand, a steeper profile with α = 3 or greater produces a millicaustic almost indistinguishable from the one obtained when α = 2.

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