The generalized Lorenz-Mie theory deals with the interaction between s
pheres and arbitrarily shaped illuminating beams. An efficient use of
the theory requires efficient evaluation of the so-called beam-shape c
oefficients involved in the description of the illuminating beam. A le
ss time-consuming method of evaluation relies on the localized approxi
mation. However, it lacks flexibility when the description of the illu
minating beam is modified. We present a new version of this method, ca
lled the integral localized approximation, that exhibits the desired p
roperty of flexibility. (C) 1998 Optical Society of America.