Novel cylindrical-wave spectrum for analysis of scattering by multiple bodies

A new technique based on the spectrum of cylindrical waves and successive scattering is developed to evaluate the scattered field due to two parallel cylindrical scatterers to any desired degree of accuracy. The salient features of the method are discussed and the results are presented for some practical configurations, namely two parallel circular cylinders and two semi-infinite wedges. The proposed technique is also applicable for scattering by multiple bodies of arbitrary cross-sectional shape once the scattering by each body in isolation is manageable. The numerical results for the scattering by two cylinders agree with the available exact boundary-value solution, whereas for the double wedge the transmission coefficient compares favourably with the exact values for the special case of a slit geometry and with two other asymptotic solutions for wide separations