A legendre pseudospectral frequency-domain method for solving Maxwell´s equations

A pseudospectral frequency-domain (PSFD) method with multi-domain approach and based on Legendre polynomials is developed for solving Maxwell´s equations. One aim of the proposed method is to more accurately model problems in plasmonics in which electromagnetic waves interact with metallic structures at optical frequencies. Calculation of light scattering by a silver circular cylinder demonstrates that the accuracy of the obtained field strength can be as good as on the order of 10^-9 of the incident field strength.