English

Polygon-based unified Fourier-modal approach for diffractive optics simulations

Computational Physics 2025-09-30 v1 Optics

Abstract

In this article, we derive a theoretical formalism that unifies the rigorous coupled wave analysis and the dynamical diffraction theory. Based on this formalism, we design a computational approach for the diffraction calculation for the nanoscale lamellar gratings with an arbitrary line profile shape. In this approach, the gratings line profile is approximated as a polygon. This proves to be convenient since such an approach does not rely on the geometry model of the grating. We test the new approach against other computational theories and a synchrotron scattering experiment.

Keywords

Cite

@article{arxiv.2410.14217,
  title  = {Polygon-based unified Fourier-modal approach for diffractive optics simulations},
  author = {K. V. Nikolaev and V. Soltwisch and M. A. Botchev and A. Fernández Herrero and P. Hönicke and F. Scholze and S. N. Yakunin},
  journal= {arXiv preprint arXiv:2410.14217},
  year   = {2025}
}

Comments

This is an original manuscript consisting of 15 pages and 8 figures. To be submitted for publication in the Nano Research journal (ISSN: 1998-0000). The experimental and analytical part of this research has been done before Feb 2022

R2 v1 2026-06-28T19:26:54.429Z