  We develop a multiple scattering theory for the absorption of waves in
disordered media. Based on a general expression of the average absorbed power,
we discuss the possibility to maximize absorption by using structural
correlations of disorder as a degree of freedom. In a model system made of
absorbing scatterers in a transparent background, we show that a stealth
hyperuniform distribution of the scatterers allows the average absorbed power
to reach its maximum value. This study provides a theoretical framework for the
design of efficient non-resonant absorbers made of dilute disordered materials,
for broadband and omnidirectional light, and other kinds of waves.
