A NEW RECURSIVE SOLUTION OF THE PROBLEM OF SCATTERING OF
   ELECTROMAGNETIC RADIATION BY MULTI-LAYERED SPHEROIDAL PARTICLES

                          V.G. Farafonov
    St.Petersburg State University of aerocosmic instrumentation,


                             Abstract

A new recursive algorithm of solution of the problem of
scattering of an arbitrary polarized plane wave by multi-layered
confocal spheroidal particles is constructed.
The approach keeps the advantages of two methods earlier suggested
by the author for homogeneous and core-mantle spheroids
(a special choice of scalar potentials, usage of the spheroidal
wave functions as basis ones) and for homogeneous axisymmetric
particles (formulation of the problem in terms of surface integral equations,
definition of the potentials of internal field via the potentials
of incident radiation, and then definition of the potentials of
scattered radiation from the potentials of internal field).
In the case of multi-layered particle the potentials in each layer
are represented by sums of two components. The first one posses
the properties of incident radiation (no peculiarities inside
the region confined by external boundary of the layer), the second one
does those of scattered radiation (radiation condition at infinity
is satisfied). As a result, the transition from one layer to another
(from the core outside) does not increase the dimension
of truncated linear matrix equations (relative to the coefficients of
expansion of the scattered field) in comparison with the case
of homogeneous spheroids. Note a simplicity and clearness
of the suggested algorithm (as it is possible for such a complicated problem).
For spherical multi-layered particles the solution is represented in
an explicit form.