Open AccessReformulation of the Fourier modal method with adaptive spatial resolution: application to multilevel profiles
Author(s) -
Tuomas Vallius,
Marko Honkanen
Publication year - 2002
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.10.000024
Subject(s) - fourier transform , modal , fourier analysis , optics , spatial frequency , resolution (logic) , computer science , eigenvalues and eigenvectors , algorithm , physics , mathematics , mathematical analysis , materials science , artificial intelligence , quantum mechanics , polymer chemistry
Formulation of the Fourier modal method for multilevel structures with spatially adaptive resolution is presented, using a slightly reformulated representation for the spatial coordinates. Projections to Fourier base in boundary value problem are used allowing extensions to multilayer profiles with differently placed transitions. We evade the eigenvalue problem in homogeneous regions demanded in the original formulation of the Fourier modal method with adaptive spatial resolution.