The models of hot optically thin dust shells surrounding a carbon star
and consisting of amorphous carbon dust particles are calculated. The
color indices, the surface brightness distributions, and the one-dime
nsional brightness distributions in the near-IR are evaluated. It is s
hown that an optically thin dust shell surrounding a carbon star can b
e observed as a bright annulus characterized by a sharp maximum in bri
ghtness. The radius of the annulus coincides both with the inner bound
ary of the dust shell and with the boundary of the grain-forming regio
n. The modem methods of the high resolving power allow the hot dust sh
ell to be detected provided that the optical depth in the near-IR is l
arger than approximately 0.05 and the angular resolution is better tha
n the angular radius of the star. The model two-color diagrams and, es
pecially, IRAS two-color diagrams are analyzed.