Application of the iterative approach to modal methods for the solution of Maxwell's equations
Modal methods computational complexity reduced to 2nd power of eigenmodes number. Memory demand reduced to the 1st power of the number of eigenmodes. Eigenmodes are found by batches using Arnoldi method and shift-and-invert technique. An iterative procedure is used instead of S- or R-matrix formalism. Calculations up to hundreds of thousands eigenmodes without using supercomputers.
iterative approach modal methods maxwell's equations computational complexity scattering matrix diffraction gratings