Title :
Improvement of Fourier Modal Methods by Means of Non Conventional Coordinate Systems
Author_Institution :
LASEMA, Aubiere
Abstract :
The Fourier modal method has recently been improved with the idea of adaptive spatial resolution . By using a non-uniform sampling scheme that places more sampling points around the permittivity discontinuities, the total number of spatial harmonics required to achieve a given accuracy is significantly reduced. The idea of stretching thinner the space around the discontinuities is not entirely new in the larger context of rigorous numerical methods. What is new in our parametric approach as applied to gratings is that Maxwell´s equations are written in the stretched coordinates under the covariant form.
Keywords :
Fourier transforms; Maxwell equations; diffraction gratings; electromagnetic wave diffraction; permittivity; Fourier modal methods; Maxwell´s equations; adaptive spatial resolution; covariant form; electromagnetic wave diffraction; nonconventional coordinate systems; nonuniform sampling scheme; permittivity discontinuities; spatial harmonics; stretched coordinates; strip gratings; Eigenvalues and eigenfunctions; Electromagnetic scattering; Finite difference methods; Maxwell equations; Permeability; Permittivity; Postal services; Sampling methods; Spatial resolution; Time domain analysis;
Conference_Titel :
Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves and Workshop on Terahertz Technologies, 2007. MSMW '07. The Sixth International Kharkov Symposium on
Conference_Location :
Kharkov
Print_ISBN :
1-4244-1237-4
DOI :
10.1109/MSMW.2007.4294582