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Rigorous Coupled-Wave Analysis Algorithm for Stratified Two-Dimensional Gratings with Unconditionally Stable H-Matrix Methods

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Publicado no:Photonics vol. 12, no. 9 (2025), p. 943-957
Autor principal: Song Kaixuan
Outros Autores: Wang, Jiyong, Wang Gaofeng
Publicado em:
MDPI AG
Assuntos:
Boundary conditions
Algorithms
Nanostructure
Electromagnetism
Permeability
Electric fields
Matrix methods
Two dimensional analysis
Computer applications
Stability
Wave analysis
Periodicity
Industrial production
Recursive methods
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Resumo:Nanostructures with the two-dimensional (2D) periodicity are attracting increasing attention due to their promising applications in planar optical devices and their potential for scalable industrial production. While Rigorous Coupled-Wave Analysis (RCWA) has proven to be an efficient electromagnetic solver for simulating the diffraction of large-scale periodic nanostructures, it has been largely applied in nanostructures with one-dimensional (1D) periodicity and suffers from potentially low computational stability. In this study, we present a step-by-step formulation of the RCWA algorithm for 2D stratified grating structures. Through dimensionality reduction, we show that the boundary conditions in 2D gratings can be transformed into forms analogous to those of 1D gratings. Additionally, we implement a hybrid matrix algorithm to enhance the computational stability of the RCWA. The stability and accuracy of the hybrid matrix-enhanced RCWA algorithm are compared with other recursive methods. An exemplary application in metalens demonstrates the effectiveness of our algorithms.
ISSN:2304-6732
DOI:10.3390/photonics12090943
Fonte:Advanced Technologies & Aerospace Database