Scalar diffraction problem for N arbitrarily shaped surfaces of revolution: Rigorous approach

This paper describes the application of the analytical regularization method to the solution of scalar diffraction problems. Reflectors composed from several coaxial surfaces of revolution are considered. The surfaces are arbitrarily shaped and may be closed or open. The initial problem is transformed to an infinite linear algebraic system of second kind in l₂ space. Numerical solutions to such systems with a guaranteed pre-specified accuracy are readily obtained.