Recursive formalism computes scattering-order-resolved photon escape probabilities in slab Thomson media, yielding exact mean scattering numbers like ⟨N⟩=2τ and eigenmode limits for high orders, verified by Monte Carlo.
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Seyfert galaxy slab coronae show a nearly constant Compton y-parameter of 0.414, implying regulation by slab radiative equilibrium.
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Photon Escape from Slab Thomson Media: A Scattering-order-resolved Recursive Formalism for Comptonization Applications
Recursive formalism computes scattering-order-resolved photon escape probabilities in slab Thomson media, yielding exact mean scattering numbers like ⟨N⟩=2τ and eigenmode limits for high orders, verified by Monte Carlo.