A locally corrected Nyström method for EM scattering with a Fourier mode expansion

Computation of corrected weights in the locally corrected Nyström method is a time consuming procedure. Since the method exhibits high-order convergence properties, the expense of computing the corrected weights is worthwhile when many computations will be performed on a fixed geometry. Such situations occur when solutions are computed over a range of frequencies and when a series of mode solutions in a series expansion are needed. Here an explanation is given as to how corrected weights can be computed once and then reused over a range of frequencies and mode numbers for any fixed body of revolution (BOR) geometry. The corrected weights need not be recomputed but only adjusted by multiplication.