Scattering from a large cylinder with an eccentrically embedded core: An orders-of-scattering approximation

•An orders-of-scattering (SCV) approximation is developed for an eccentric cylinder.•The SCV approximation is in good agreement with the numerically exact solution.•The SCV approximation holds even at resonance frequencies.•Limitations of the SCV approximation are established.

We develop an orders-of-scattering approximation, termed the “screened cylindrical void/core” (SCV) approximation, for a composite cylinder. The composite cylinder consists of a large host cylinder that contains a small, eccentrically embedded, core cylinder. The SCV approximation is developed via separation of variables in conjunction with addition theorems for cylindrical functions. We show that the SCV approximation is in good agreement with the numerically exact solution. A simple physical interpretation of the SCV approximation is also presented.