In a plane-parallel atmosphere the source function is linear in optical depth,

PHYSICS · Multi-part · Fermi University Physics · Astrophysics & Cosmology · Radiation, radiative transfer and stellar atmospheres · Radiation, radiative transfer and stellar atmospheres

Stars from the Inside, Ch Radiative transfer solved: the grey atmosphere, the diffusion limit and the curve of growth

Problem

In a plane-parallel atmosphere the source function is linear in optical depth, S(τ)=8.0×10−7+1.2×10−6 τS(\tau) = 8.0\times10^{-7} + 1.2\times10^{-6}\,\tau, in units of W m−2 Hz−1 sr−1\mathrm{W\,m^{-2}\,Hz^{-1}\,sr^{-1}}. ((a)) Find the emergent intensity I(0,μ)I(0,\mu) at disc centre (μ=1\mu = 1). ((b)) Find I(0,μ)I(0,\mu) near the limb, at μ=0.25\mu = 0.25. ((c)) Find the emergent flux F(0)F(0).

Browse the problem library