Highly Efficient Rigorous Coupled-Wave Analysis Implementation Without Eigensystem Calculation

The Rigorous Coupled Wave Analysis (RCWA) method is commonly used to simulate diffractive optical devices, such as photonic crystal LEDs, solar cells, and gratings. Although commercial software is available, the simulation time for real devices can be many hours or even days. Therefore, it is necess...

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Bibliographic Details
Published inIEEE access Vol. 12; pp. 127966 - 127975
Main Authors Xu, Jingxiao, Charlton, Martin D. B.
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Approximation algorithms
Eigensystem
Eigenvalues
Eigenvalues and eigenfunctions
Eigenvectors
FMM
GPU computing
Graphics processing units
Gratings (spectra)
Libraries
Matrices
matrix exponential
Photonic crystals
Photovoltaic cells
Polynomials
RCWA
Solar cells
Taylor series
Vectors
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Summary:The Rigorous Coupled Wave Analysis (RCWA) method is commonly used to simulate diffractive optical devices, such as photonic crystal LEDs, solar cells, and gratings. Although commercial software is available, the simulation time for real devices can be many hours or even days. Therefore, it is necessary to accelerate the algorithm. Over 50% of the RCWA simulation time is taken up by repetitive solutions of large eigensystems, including eigenvalues and eigenvectors. In this paper, we present a new algorithm that entirely eliminates the need for eigensystem solutions by replacing it with a matrix exponential polynomial approximation method for medium-thickness devices. When implemented on a GPU hardware platform, the total RCWA simulation time was reduced by a factor of 7-60 compared with the classic algorithm.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2024.3456798