A higher-order Nyström method for dielectric scattering

The Nyström method is a higher-order numerical method for solving a wide range of integral equations. While “Locally Corrected” Nyström methods can be developed for general integral equations in electromagnetism, the simpler Nyström method itself cannot be easily applied, except in particular cases. Here we present a heuristic approach to the solution of a volume integral equation for dielectric scattering using a simple higher-order Nyström method, and demonstrate the basic operation of the method by calculating the radar cross-section of a dielectric cube.