Shadow maps for mono-energetic protons in the magnetic field of a dipole, using the example of E_kin = 3 TeV (left) and E_kin = 12 TeV (right), and 100 × 100 particles in each case. Green squares represent the starting points of particle trajectories intersecting the solar surface. Shadow-to-disk ratio amounts to 0.787 for the left case and 1.516 on the right. To guide the eye, blue circles indicate projected radii of 1 R_⊙ (solid) and R_SS = 2.5 R_⊙ (dashed). We note that for the right plot, the lateral half-length d of the quadratic injection window is decreased from d = 1.5° to d = 0.8° for improved resolution.