The Scalar Scattering of a Plane Wave by an Ellipsoid

The problem of scalar Dirichlet scattering by a general ellipsoidis discussed. An exact solution of the wave equation is determinedvia the method of separation of the variables leading to expressionsfor the total field and the far field amplitude in terms ofellipsoidal wave function products. Particular attention ispaid to the case when the ellipsoid is almost a prolate spheroid.Finally methods of numerical solution are discussed and twonew results in ellipsoidal wave function theory are obtained.