Reformulation of the lamellar grating problem through the concept of adaptive spatial resolution
- 1 October 1999
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 16 (10) , 2510-2516
- https://doi.org/10.1364/josaa.16.002510
Abstract
The lamellar grating problem is reformulated through the concept of adaptive spatial resolution. We introduce a new coordinate system such that spatial resolution is increased around the discontinuities of the permittivity function. We derive a new eigenproblem that we solve by using Fourier expansions for both the field and the coefficients of Maxwell’s equations. We provide numerical evidence that highly improved convergence rates can be obtained.Keywords
This publication has 7 references indexed in Scilit:
- The method of curvilinear coordinates applied to the problem of scattering from surface-relief gratings defined by parametric equations: application to scattering from a cycloidal gratingPure and Applied Optics: Journal of the European Optical Society Part A, 1997
- Use of Fourier series in the analysis of discontinuous periodic structuresJournal of the Optical Society of America A, 1996
- A Modal Analysis of Lamellar Diffraction Gratings in Conical MountingsJournal of Modern Optics, 1993
- Diffraction analysis of dielectric surface-relief gratingsJournal of the Optical Society of America, 1982
- Multicoated gratings: a differential formalism applicable in the entire optical regionJournal of the Optical Society of America, 1982
- The Finitely Conducting Lamellar Diffraction GratingOptica Acta: International Journal of Optics, 1981
- The Dielectric Lamellar Diffraction GratingOptica Acta: International Journal of Optics, 1981