  Based on the model proposed by Hilgenfeldt {\it at al.} [Nature {\bf 398},
401 (1999)], we present here a comprehensive theory of thermal radiation in
single-bubble sonoluminescence (SBSL). We first invoke the generalized
Kirchhoff's law to obtain the thermal emissivity from the absorption
cross-section of a multilayered sphere (MLS). A sonoluminescing bubble, whose
internal structure is determined from hydrodynamic simulations, is then
modelled as a MLS and in turn the thermal radiation is evaluated. Numerical
results obtained from simulations for argon bubbles show that our theory
successfully captures the major features observed in SBSL experiments.
