Most of the Mie-scattering calculations have been done for a particle embed
ded in a nonabsorbing host medium. Generalization to an absorbing host medi
um can be achieved (a) by: modifying the calculation of the spherical Besse
l functions to account:for a complex argument and (b) by accounting properl
y for the net rate of incident, scattered, and absorbed energy. We present
an extended formalism of Mie scattering for the case of an absorbing host m
edium. Numerical calculations show that for a large spherical particle embe
dded in an absorbing host medium the extinction efficiency approaches 1 com
pared with 2 for a nonabsorbing host medium. We conjecture that this differ
ence is due to the suppression of diffraction when the radius of the sphere
is large. (C) 2001 Optical Society of America.