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Updated: Jul 12, 2025
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Published on: November 30, 2012
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Conical diffractions of multilayered gratings modeled by Cartesian rigorous coupled-wave analysis
Summary
This study presents a stable rigorous coupled-wave analysis (RCWA) for conical diffractions in multilayered gratings. The reformulated RCWA algorithms enable robust analysis of electromagnetic fields and diffraction efficiencies for advanced nanophotonics applications.
Area of Science:
- Electromagnetics
- Nanophotonics
- Computational Physics
Background:
- Rigorous coupled-wave analysis (RCWA) is efficient for periodic nanostructures but often limited to planar diffraction.
- Conical diffractions, a more general case, lack universal and stable RCWA implementations for multilayered gratings.
Purpose of the Study:
- To reformulate RCWA algorithms for stable and universal analysis of conical diffractions in multilayered gratings.
- To enable direct implementation of existing stable RCWA algorithms for conical diffraction scenarios.
Main Methods:
- Step-by-step reformulation of RCWA algorithms in a global Cartesian coordinate system for conical diffractions.
- Mathematical simplification of boundary conditions to match those of planar diffractions.
- Direct application of enhanced transmittance and scattering matrices for stability and robustness.
Main Results:
- Boundary conditions for conical diffractions were successfully reduced to forms compatible with planar diffraction analysis.
- Conventional stable RCWA algorithms can now be directly applied to multilayered gratings under conical diffraction.
- Robust calculation of diffraction efficiencies and electromagnetic fields was achieved.
Conclusions:
- The reformulated RCWA provides a universal and stable method for analyzing conical diffractions in multilayered gratings.
- This advancement facilitates the design and analysis of nanophotonic devices, such as those in augmented reality.
- The method enhances the applicability of RCWA to more complex and general diffraction scenarios.
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