Schwarzschild radiative-transfer: dI/d tau = I - B(T); linear 1st-order ODE in optical depth

Layer 1 — Physicsin the climate-physics subtree

Schwarzschild radiative-transfer framework. Setup: monochromatic plane-parallel radiative transfer in a grey absorbing-emitting atmosphere is governed by the Schwarzschild equation dI/d tau = I - B(T), where tau is the optical depth along…

Related concepts

Picard-Lindelöf theorem
Theorem: at tau = ln(2), I(tau) = (I_0 + B)/2 exactly (half-intensity optical depth)

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