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2000
Volume 19, Issue 3
  • ISSN: 2666-2558
  • E-ISSN: 2666-2566
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Abstract

Background

Multilayer structures are an important element of modern optical, electronic, and nanotechnological devices. Their spectral characteristics determine the efficiency of optical coatings, photonic sensors, and nanostructures. However, traditional spectral analysis methods often do not take into account the influence of fractal irregularities, local inhomogeneities, and correlations between layers, which limits the accuracy of predicting optical properties.

Objective

The aim of this research is to develop a hybrid numerical model for accurate analysis of spectral characteristics of multilayer structures by taking into account realistic irregularities and inhomogeneities. The software implementation of the modeling algorithm is carried out in the Python environment. As a result of numerical experiments, the model configuration is optimized, which ensures the precision and efficiency of spectroscopic studies.

Methods

The proposed model is based on a combination of Rigorous Coupled-Wave Analysis (RCWA) and Finite-Difference Time-Domain (FDTD) methods, taking into account wave effects, interference phenomena, and local variations of the material. The novelty of the research lies in the development of a hybrid model of spectral analysis, which combines RCWA and FDTD methods with adaptive discretization and description of fractal boundaries. The proposed methodology takes into account local inhomogeneities and correlations between layers, which is critically important for high-precision spectral measurements. To increase the accuracy, adaptive discretization is implemented, which increases the resolution in areas with high gradients. Experimental verification is carried out on synthetic test structures, reference data, and real multilayer systems obtained by the laser-induced evaporation method.

Results

The developed model demonstrates high accuracy in predicting the spectral characteristics of multilayer structures. The results of the study indicate that taking into account fractal irregularities and correlations between layers allows for achieving a more accurate match between the simulated and experimental spectra. The proposed hybrid numerical approach reduces computational costs by 30-50% while increasing the accuracy of spectral analysis by 15-20% compared to traditional methods. The study of a multilayer structure consisting of SiO, TiO, and polycrystalline silicon confirmed the significant influence of fractal irregularities in TiO on wave localization and light absorption. Analysis of the spectral characteristics of films created by the method of laser-induced evaporation of copper sulfate demonstrated the ability of the developed model to accurately reproduce key spectral features, in particular, the exponential decrease in transmission and oscillations in reflection. In addition, a formalized model for simulating electromagnetic and thermal processes in lithium-ion batteries is proposed, which opens up prospects for its application for analyzing internal processes in multilayer electrode structures and predicting their degradation.

Conclusion

For the first time, an improved model for the spectral analysis of multilayer structures has been proposed and implemented, incorporating adaptive algorithms and hybrid numerical methods to achieve higher accuracy compared to classical approaches. The obtained results confirm the effectiveness of the proposed methodology for calculating transmission spectra, which aligns with experimental data and surpasses existing literature models in accuracy. Modeling of fractal irregularities confirmed that the Hurst parameter plays a key role in shaping the spectral characteristics of multilayer structures, determining the level of smoothness or chaos of the boundaries between layers. Taking into account the correlation between layers showed that the interdependence of irregularities at the boundaries significantly affects the light transmission and creates additional diffraction peaks in the reflection spectrum. Optimization of numerical algorithms showed that the combination of RCWA and FDTD methods in a hybrid format provides a balance between accuracy and speed of calculations, reducing the error to ±2% compared to experimental data. The use of adaptive discretization contributed to a reduction in computational costs by 30-40% while maintaining high accuracy of calculations, which is especially important for complex multilayer systems. The results obtained demonstrate the versatility of the proposed model and its applicability for the development of high-precision spectral analyzers, optical coatings, and photonic sensors.

© 2026 The Author(s). Published by Bentham Science Publishers.
This is an open access article published under CC BY 4.0 https://creativecommons.org/licenses/by/4.0/legalcode
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/content/journals/rascs/10.2174/0126662558387349250422062604
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Hybrid Model for Spectral Analysis of Multilayered Structures with Fractal Boundaries: A Combination of RCWA and FDTD
Recent Advances in Computer Science and Communications 19, E26662558387349 (2026); https://doi.org/10.2174/0126662558387349250422062604
/content/journals/rascs/10.2174/0126662558387349250422062604
/content/journals/rascs/10.2174/0126662558387349250422062604
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  • Article Type:     Research Article
Keyword(s): adaptive discretization; fractal irregularities; model optimization; Multilayer structures; numerical modeling; spectral analysis

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