A meshless method for fast solution of the electromagnetic scattering
problem related to arbitrary shaped radially inhomogeneous cylinders is
proposed. This is an important problem since radially inhomogeneous
circular cylinders are common in various engineering applications, and
deformations such as notches, grooves and noncircular holes on such
cylinders are required for different purposes. This approach is
basically an extension of the previously proposed method, which is based
on Fourier series representation of the electric field on boundaries.
In the original method, a multilayer cylinder with arbitrary shaped
homogeneous layers is considered, and accordingly, the general solution
of the cylindrical wave equation in homogeneous medium is used. Here we
modify the method by considering the general solution in radially
inhomogeneous medium, and derive compact expressions for the field.