The scattering cross section of a dielectric elliptic cylinder coated
with nonconfocal dielectric is investigated. An exact dual series solu
tion based on the boundary value method and employing the addition the
orem of Mathieu functions is derived. Both transverse magnetic and tra
nsverse electric cases are considered. The infinite series' of the sol
ution are truncated after a finite number of terms to generate numeric
al data. A convergence check is built into the computer program, and t
he geometrical dimensions considered are within the low-frequency rang
e. It is shown that this solution is much more general than all other
solutions given before because it can handle a variety of scattering g
eometries.