Low-order subdomain basis methods of
moments provide little help when highly accurate
electromagnetic computations are required. High order
modelling, on the other hand, can fill the need for
enhanced accuracy but at the expense of greater
implementation cost. To supplement such methods, this
paper presents Nyström techniques, both easily
implemented and highly accurate, relevant to TE
scattering by arbitrarily shaped smooth infinite curved
strips. The analysis takes full account of both the singular
nature of the kernels and the singularities of the solution
at the edges; as a result, the proposed solutions are
exponentially converging. In addition, by eliminating inner
product integrals, closed form analytical expressions are
obtained for all matrix elements; thus our algorithms have
very low implementation and computational cost. Detailed
numerical examples and case studies amply demonstrate
the efficiency, stability, and extremely high accuracy of the
algorithms. These algorithms apply uniformly from
electrically small to electrically large conducting screens.
With only slight modifications the present analysis can
be also used to obtain exponentially converging Galerkin
solutions.
