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Reformulation of the Fourier modal method with adaptive spatial resolution: application to multilevel profiles
Optics Express
|May 9, 2009
Summary
A new Fourier modal method formulation enables adaptive resolution for multilevel structures. This approach avoids eigenvalue problems in homogeneous regions, improving computational efficiency for complex optical designs.
Area of Science:
- Optics and Photonics
- Computational Electromagnetics
- Nanophotonics
Background:
- The Fourier modal method (FMM) is a powerful technique for analyzing periodic structures.
- Traditional FMM formulations can be computationally intensive for complex, non-uniform structures.
- Adaptive spatial resolution is crucial for accurately modeling intricate optical designs.
Purpose of the Study:
- To present a reformulated Fourier modal method (FMM) for multilevel structures.
- To incorporate spatially adaptive resolution for enhanced accuracy and efficiency.
- To extend the method's applicability to multilayer profiles with arbitrary transitions.
Main Methods:
- Utilizing a reformulated spatial coordinate representation.
- Applying projections to a Fourier basis within the boundary value problem.
- Developing an approach that bypasses the eigenvalue problem in homogeneous regions.
Main Results:
- Successful formulation of FMM for multilevel structures with adaptive resolution.
- Demonstrated extension to multilayer profiles with non-uniform interfaces.
- Elimination of the eigenvalue problem in homogeneous regions, simplifying computation.
Conclusions:
- The reformulated FMM offers a more efficient and versatile tool for optical structure analysis.
- Spatially adaptive resolution significantly improves the modeling of complex multilevel and multilayer photonic devices.
- This method provides a robust framework for advanced nanophotonic and integrated optics simulations.
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