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Published on: October 11, 2016
Fast diffraction computation schema for multilayer crossed gratings containing layers with 1D periodicity
1OSIRES Optical Engineering, Schillerstrasse 19, D-98693 Ilmenau, Germany. jb@osires.biz
Summary
This study presents a new computational method to speed up the analysis of 2D multilayer gratings. By leveraging 1D periodicity within layers, it significantly reduces computation time for rigorous coupled wave analysis (RCWA).
Area of Science:
- Optics and Photonics
- Computational Electromagnetics
- Nanophotonics
Background:
- Modal methods like Rigorous Coupled Wave Analysis (RCWA) are computationally intensive for crossed gratings.
- The primary bottleneck is solving eigenproblems for each layer in 2D multilayer gratings.
- Even 1D periodic layers within a 2D structure often require full 2D analysis, slowing computation.
Purpose of the Study:
- To develop a faster computational schema for analyzing 2D multilayer gratings.
- To address the computational inefficiency of current modal methods for crossed gratings.
- To accelerate the eigenproblem formulation and solution for 1D periodic layers within 2D structures.
Main Methods:
- A novel computation schema is introduced that exploits the 1D periodicity of individual layers.
- The method optimizes the eigenproblem solution for layers with unidirectional periodicity within a multilayer stack.
- This approach integrates 1D layer analysis into the overall 2D multilayer grating solution.
Main Results:
- Significant acceleration in the formulation and solution of eigenproblems for 1D periodic layers.
- Considerable reduction in the total computation time for 2D multilayer gratings containing 1D layers.
- Demonstrates a practical approach to overcome computational bottlenecks in grating analysis.
Conclusions:
- The proposed schema offers a substantial speed-up for diffraction computations of 2D multilayer gratings.
- This method enhances the efficiency of modal analysis techniques for complex grating structures.
- It paves the way for more rapid design and analysis of photonic devices utilizing crossed gratings.
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