The dynamical structure and infrared emission of winds around late-typ
e stars are studied in a self-consistent model that couples the equati
ons of motion and radiative transfer. Thanks to its scaling properties
, both the dynamics and IR spectrum of the solution are fully characte
rized by tau(F), the flux-averaged optical depth of the wind. Five typ
es of dust grains are considered: astronomical silicate, crystalline o
livine, graphite, amorphous carbon and SiC, as well as mixtures. Analy
sis of infrared signatures provides constraints on the grain chemical
composition and indications for the simultaneous existence of silicate
and carbon grains. The abundances of crystalline olivine in Si-domina
ted grains and of SiC in C-dominated grains are found to be limited to
less than or similar to 20%-30%. Furthermore, in carbonaceous grains
carbon is predominantly in amorphous form, rather than graphite. In mi
xtures, carbonaceous grains tend to dominate the dynamic behavior whil
e silicate and SiC grains dominate the IR signature. The region of par
ameter space where radiation pressure can support a given mass-loss ra
te is identified, replacing the common misconception Mv less than or e
qual to L/c, and it shows that radiatively driven winds explain the h
ighest mass-loss rates observed to date. A new method to derive mass-l
oss rates from IR data is presented, and its results agree with other
determinations. The theoretical spectra and colors are in good agreeme
nt with observations. IRAS Low Resolution Spectrometer classes are ass
ociated with tau(F), for various grain materials and the regions of co
lor-color diagrams expected to be populated by late-type stars are ide
ntified. For a given grain composition, location in the color-color di
agram follows a track with position along the track determined by tau(
F). We show that cirrus emission can severely affect point source meas
urements to the extent that their listed IRAS long-wavelength fluxes a
re unreliable. Whenever the listed IRAS flag cirr3 exceeds the listed
60 mu m flux by more than a factor of 2, the 60 and 100 mu m fluxes ar
e no longer indicative of the underlying point source. After accountin
g of cirrus contamination, essentially all IRAS point sources (95%) lo
cated in the relevant regions of the color-color diagrams can be expla
ined as late-type stars. There is no need to invoke time dependent eff
ects, such as detached shells, for example, to explain either the colo
rs or mass-loss rates of these sources. Although various indications o
f time varying mass-loss rates exist in numerous sources, the infrared
properties of this class of stars are well explained as a whole with
steady state shows.