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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Normal vector method for convergence improvement using the RCWA for crossed gratings.

Thomas Schuster1, Johannes Ruoff, Norbert Kerwien

  • 1Institut für Technische Optik, Universität Stuttgart, Germany. schuster@ito.uni-stuttgart.de

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|September 4, 2007
PubMed
Summary

This study enhances the rigorous coupled wave analysis (RCWA) for crossed gratings. By combining methods, improved convergence is achieved, addressing long-standing simulation challenges in periodic structures.

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Area of Science:

  • Optics and Photonics
  • Computational Electromagnetics
  • Materials Science

Background:

  • The rigorous coupled wave analysis (RCWA) is a standard numerical method for simulating diffraction gratings.
  • Convergence issues persist in RCWA, particularly for complex structures like crossed gratings.
  • Existing proposals for improving convergence in crossed gratings lack a definitive solution.

Purpose of the Study:

  • To address the convergence problems in rigorous coupled wave analysis (RCWA) for crossed gratings.
  • To propose a novel hybrid method combining RCWA with the differential method.
  • To achieve superior convergence rates compared to existing RCWA formulations for crossed gratings.

Main Methods:

  • Combining Popov and Nevière's differential method formulation with classical RCWA.
  • Implementing a suitable choice of a normal vector field within the hybrid approach.
  • Numerical simulation and analysis of diffraction from periodic structures.

Main Results:

  • The proposed hybrid method demonstrates enhanced convergence for crossed gratings.
  • Achieved better convergence rates than previously reported RCWA formulations.
  • Validated the effectiveness of the chosen normal vector field in improving simulation accuracy.

Conclusions:

  • The hybrid RCWA-differential method offers a robust solution for simulating crossed gratings.
  • This approach overcomes the limitations of classical RCWA in handling complex periodic structures.
  • The findings contribute to more accurate and efficient optical simulations.