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Versatile full-vectorial finite element model for crossed gratings.

Guillaume Demésy1, Frédéric Zolla, André Nicolet

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We validated the finite-element method for calculating diffraction efficiencies in complex multilayered gratings. This accurate method works for arbitrarily shaped gratings and polarization under oblique incidence.

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Area of Science:

  • Optics and Photonics
  • Computational Electromagnetics
  • Materials Science

Background:

  • Diffraction gratings are crucial optical components.
  • Accurate calculation of diffraction efficiencies is essential for grating design.
  • Existing methods may have limitations for complex structures and arbitrary polarization.

Purpose of the Study:

  • To demonstrate the accuracy of the finite-element method (FEM) for calculating diffraction efficiencies.
  • To validate the FEM for arbitrarily shaped crossed gratings in multilayered stacks.
  • To show the method's applicability to various polarization states and oblique incidence angles.

Main Methods:

  • Finite-element method (FEM) implementation for electromagnetic wave scattering.
  • Validation against known analytical and numerical solutions for classical grating structures.
  • Application to a novel, arbitrarily shaped, lossy thin torus crossed grating.

Main Results:

  • FEM accurately predicts diffraction efficiencies for complex multilayered gratings.
  • The method shows independence from the diffractive object's shape.
  • Global energy balance was successfully calculated for a torus grating.

Conclusions:

  • The validated FEM is a robust tool for analyzing diffraction gratings.
  • This method enables the design of advanced optical elements with arbitrary shapes.
  • FEM provides reliable energy balance calculations for complex diffractive structures.