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Keywords = spectral transfer matrix method

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22 pages, 3097 KB  
Article
Preliminary Neutronic Design and Thermal-Hydraulic Feasibility Analysis for a Liquid-Solid Space Reactor Using Cross-Shaped Spiral Fuel
by Zhichao Qiu, Kun Zhuang, Xiaoyu Wang, Yong Gao, Yun Cao, Daping Liu, Jingen Chen and Sipeng Wang
Energies 2026, 19(7), 1811; https://doi.org/10.3390/en19071811 - 7 Apr 2026
Viewed by 270
Abstract
As the key technology of space exploration, space power has been a major area of international research focus. A lot of research work has been carried out around the world for the space nuclear reactor using the heat pipe, liquid metal and gas [...] Read more.
As the key technology of space exploration, space power has been a major area of international research focus. A lot of research work has been carried out around the world for the space nuclear reactor using the heat pipe, liquid metal and gas cooling methods. With the development of molten salt reactor in the Generation IV reactor system, molten salt dissolving fissile material and acting as a coolant at the same time has become a new cooling scheme, which provides new ideas for the design of space nuclear reactors. In this study, a novel reactor, the liquid-solid dual-fuel space nuclear reactor (LSSNR) was preliminarily proposed, combining the molten salt fuel and cross-shaped spiral solid fuel to achieve the design goals of 30-year lifetime and an active core weight of less than 200 kg. Monte Carlo neutron transport code OpenMC based on ENDF/B-VII.1 library was employed for neutronics design in the aspect of fuel type, cladding material, reflector material and the spectral shift absorber. Then, the thickness of the control drum absorber was optimized to meet the requirement of the sufficient shutdown margin, lower solid fuel enrichment, and 30-effective-full power-years (EFPY) operation lifetime. Finally, UC solid fuel with U-235 enrichment of 80.98 wt.% and B4C thickness of 0.75 cm were adopted in LSSNR, and BeO was adopted as the reflector and the matrix material of the control drum. A spectral shift absorber Gd2O3 was used to avoid the subcritical LSSNR returning to criticality in a launch accident. The keff with the control drum in the innermost position is 0.954949, and the keff reaches 1.00592 after 30 EFPY of operation. The total mass of the active core is 158.11 kg. In addition, the thermal-hydraulic feasibility of LSSNR using cross-shaped spiral fuel was analyzed based on a 4/61 reactor core model. The structure of cross-shaped spiral fuel achieves enhanced heat transfer by generating turbulence, which leads to a uniform temperature distribution of the coolant flow field and reduces local temperature peaks. Based on the LSSNR scheme, some neutronic characteristics were analyzed. Results demonstrate that the LSSNR has strongly negative reactivity coefficients due to the thermal expansion of liquid fuel, and the fission gas-induced pressure meets safety requirements. One hundred years after the end of core life, the total radioactivity of reactor core is reduced by 99% and is 7.1305 Ci. Full article
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19 pages, 1962 KB  
Review
Modern Fluorescence Strategies for Honey Characterization: Analytical Advances, Emerging Technologies, Methodological Challenges, and Future Perspectives
by Krastena Nikolova, Daniela Batovska, Galia Gentscheva, Tinko Eftimov and Yulian Tumbarski
Foods 2026, 15(7), 1268; https://doi.org/10.3390/foods15071268 - 7 Apr 2026
Viewed by 389
Abstract
Honey authenticity control remains analytically challenging due to the complexity of its matrix and the increasing sophistication of adulteration practices. While chromatographic, spectrometric, and isotopic methods provide high confirmatory accuracy, their routine application is constrained by cost, time, and infrastructure requirements. In this [...] Read more.
Honey authenticity control remains analytically challenging due to the complexity of its matrix and the increasing sophistication of adulteration practices. While chromatographic, spectrometric, and isotopic methods provide high confirmatory accuracy, their routine application is constrained by cost, time, and infrastructure requirements. In this context, fluorescence spectroscopy has emerged as a rapid, non-destructive, and cost-efficient screening approach capable of capturing subtle matrix-level compositional variations. This review critically evaluates the application of steady-state and excitation–emission matrix (EEM) fluorescence in honey quality and authenticity assessment. Fluorescence is positioned within tiered analytical frameworks as a first-line or intermediate screening tool preceding confirmatory chromatographic or NMR-based analyses. Emphasis is placed on intrinsic fluorophore domains, excitation–emission measurement strategies, and chemometric interpretation, including multiway analysis and supervised classification models. Recent developments in portable LED-based systems, laser-induced fluorescence, nanoparticle-based probes, and data-fusion strategies are discussed alongside key limitations related to matrix effects, spectral overlap, reproducibility, and model transferability. The review provides a structured framework for the strategic integration of fluorescence spectroscopy into contemporary honey authentication workflows. Full article
(This article belongs to the Section Food Engineering and Technology)
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13 pages, 282 KB  
Article
The Bichromatic Triangle Coloring Polynomial of Some 2-Trees
by Julian Allagan, Vitaly Voloshin and Gabrielle Morgan
Axioms 2026, 15(3), 162; https://doi.org/10.3390/axioms15030162 - 26 Feb 2026
Viewed by 294
Abstract
The bichromatic triangle polynomial PG(k) counts vertex k-colorings in which every triangle uses exactly two colors. We develop a transfer matrix framework for three canonical families of 2-trees: book graphs Bn, 1-fans Fn1, [...] Read more.
The bichromatic triangle polynomial PG(k) counts vertex k-colorings in which every triangle uses exactly two colors. We develop a transfer matrix framework for three canonical families of 2-trees: book graphs Bn, 1-fans Fn1, and triangulated ladders TLm. In each case, PG(k) satisfies a second-order linear recurrence with an explicit closed form; for TLm this yields a Chebyshev representation, while for Fn1 the binary specialization gives PFn1(2)=2Fn+1. A spectral identity α2=r+ links the dominant characteristic roots of the fan and ladder recurrences, implying identical exponential growth rates when indexed by vertex count, whereas book graphs grow strictly faster for k4. In fact, this correspondence is exact: for all k2, the triangulated ladder polynomial coincides with that of a suitably indexed 1-fan. Passing to line graphs, we interpret PL(Kn)(k) as counting edge colorings of Kn that forbid both monochromatic and rainbow triangles, and we identify a sharp obstruction threshold at n6. Full article
(This article belongs to the Section Mathematical Analysis)
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19 pages, 4940 KB  
Article
Numerical Calculations of Fiber Bragg Gratings with Intensity-Dependent Refractive Index
by Christos Lazakis and Nikolaos A. Stathopoulos
Photonics 2026, 13(2), 202; https://doi.org/10.3390/photonics13020202 - 18 Feb 2026
Viewed by 414
Abstract
Modified discrete transfer matrix and transmission line models were applied to nonlinear refractive index fiber Bragg gratings (FBG). The methods were validated against analytical solutions for Kerr-type uniform FBG, evaluating accuracy, convergence, and computational time. Spectral reflectivity, bistability, index distribution, and group delay [...] Read more.
Modified discrete transfer matrix and transmission line models were applied to nonlinear refractive index fiber Bragg gratings (FBG). The methods were validated against analytical solutions for Kerr-type uniform FBG, evaluating accuracy, convergence, and computational time. Spectral reflectivity, bistability, index distribution, and group delay were computed for various FBG types, with results discussed for each grating, particularly regarding reflectivity and bistability. Full article
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24 pages, 3202 KB  
Article
Breaking the Cross-Sensitivity Degeneracy in FBG Sensors: A Physics-Informed Co-Design Framework for Robust Discrimination
by Fatih Yalınbaş and Güneş Yılmaz
Sensors 2026, 26(2), 459; https://doi.org/10.3390/s26020459 - 9 Jan 2026
Viewed by 521
Abstract
The simultaneous measurement of strain and temperature using Fiber Bragg Grating (FBG) sensors presents a significant challenge due to the intrinsic cross-sensitivity of the Bragg wavelength. While recent studies have increasingly employed “black-box” machine learning algorithms to address this ambiguity, such approaches often [...] Read more.
The simultaneous measurement of strain and temperature using Fiber Bragg Grating (FBG) sensors presents a significant challenge due to the intrinsic cross-sensitivity of the Bragg wavelength. While recent studies have increasingly employed “black-box” machine learning algorithms to address this ambiguity, such approaches often overlook the physical limitations of the sensor’s spectral response. This paper challenges the assumption that advanced algorithms alone can compensate for data that is physically ambiguous. We propose a “Sensor-Algorithm Co-Design” methodology, demonstrating that robust discrimination is achievable only when the sensor architecture exhibits a unique, orthogonal physical signature. Using a rigorous Transfer Matrix Method (TMM) and 4 × 4 polarization analysis, we evaluate three distinct architectures. Quantitative analysis reveals that a standard Quadratically Chirped FBG (QC-FBG) functions as an “ill-conditioned baseline” failing to distinguish measurands due to feature space collapse (Kcond>4600). Conversely, we validate two robust co-designs: (1) An Amplitude-Modulated Superstructure FBG (S-FBG) paired with an Artificial Neural Network (ANN), utilizing thermally induced duty-cycle variations to achieve high accuracy (~3.4 °C error) under noise; and (2) A Polarization-Diverse Inverse-Gaussian FBG (IG-FBG) paired with a 4 × 4 K-matrix, exploiting strain-induced birefringence (Kcond64). Furthermore, we address the data scarcity issue in AI-driven sensing by introducing a Physics-Informed Neural Network (PINN) strategy. By embedding TMM physics directly into the loss function, the PINN improves data efficiency by 2.2× compared to standard models, effectively bridging the gap between physical modeling and data-driven inference, addressing the critical data scarcity bottleneck identified in recent optical sensing roadmaps. Full article
(This article belongs to the Special Issue Advanced Optical Sensors Based on Machine Learning: 2nd Edition)
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16 pages, 4015 KB  
Article
Noninvasive Seizure Onset Zone Localization Using Janashia–Lagvilava Algorithm-Based Spectral Factorization in Granger Causality
by Sofia Kasradze, Giorgi Lomidze, Lasha Ephremidze, Tamar Gagoshidze, Giorgi Japaridze, Maia Alkhidze, Tamar Jishkariani and Mukesh Dhamala
Brain Sci. 2025, 15(12), 1334; https://doi.org/10.3390/brainsci15121334 - 15 Dec 2025
Viewed by 602
Abstract
Background/Objectives: Precise identification of seizure onset zones (SOZs) and their propagation pathways is essential for effective epilepsy surgery and other interventional therapies and is typically achieved through invasive electrophysiological recordings such as intracranial electroencephalography (EEG). Previous research has demonstrated that analyzing information flow [...] Read more.
Background/Objectives: Precise identification of seizure onset zones (SOZs) and their propagation pathways is essential for effective epilepsy surgery and other interventional therapies and is typically achieved through invasive electrophysiological recordings such as intracranial electroencephalography (EEG). Previous research has demonstrated that analyzing information flow patterns, particularly in high-frequency oscillations (>80 Hz) using parametric and Wilson algorithm (WL)-based nonparametric Granger causality (GC), is valuable for SOZ identification. In this study, we analyzed scalp EEG recordings from epilepsy patients using an alternative nonparametric GC approach based on spectral density matrix factorization via the Janashia–Lagvilava algorithm (JLA). The aim of this study is to evaluate the effectiveness of JLA-based matrix factorization in nonparametric GC for noninvasively identifying seizure onset zones from ictal EEG recordings in patients with drug-resistant epilepsy. Methods: Two regions of interest (ROIs) in pairs were isolated across different time epochs in six patients referred for presurgical evaluation. To apply the nonparametric Granger causality (GC) estimation approach to the EEG recordings from these regions, the cross-power spectral density matrix was first computed using the multitaper method and subsequently factorized using the JLA. This factorization yielded the transfer function and noise covariance matrix required for GC estimation. GC values were then obtained at different prediction time steps (measured in milliseconds). These estimates were used to confirm the visually suspected seizure onset regions and their propagation pathways. Results: JLA-based spectral factorization applied within the Granger causality framework successfully identified SOZs and their propagation patterns from scalp EEG recordings, demonstrating alignment with positive surgical outcomes (Engel Class I) in all six cases. Conclusions: JLA-based spectral factorization in nonparametric Granger causality shows strong potential not only for accurate SOZ localization to support diagnosis and treatment, but also for broader applications in uncovering information flow patterns in neuroimaging and computational neuroscience. Full article
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26 pages, 5342 KB  
Article
Spectroscopy of ITO Films in Optical and Terahertz Spectral Ranges
by Vladimir V. Bassarab, Vadim A. Shalygin, Alexey A. Shakhmin and Grigory I. Kropotov
Appl. Sci. 2025, 15(16), 9121; https://doi.org/10.3390/app15169121 - 19 Aug 2025
Cited by 2 | Viewed by 2047
Abstract
In the present study, the reflection and transmission of radiation in submicron indium tin oxide (ITO) films deposited on a borosilicate glass substrate are experimentally investigated for a wide spectral range, including ultraviolet, visible, infrared and terahertz regions. Theoretical modeling of the spectra [...] Read more.
In the present study, the reflection and transmission of radiation in submicron indium tin oxide (ITO) films deposited on a borosilicate glass substrate are experimentally investigated for a wide spectral range, including ultraviolet, visible, infrared and terahertz regions. Theoretical modeling of the spectra is performed using the transfer matrix method. The interaction of electromagnetic radiation with ITO is considered in the framework of the Drude model. The simulated spectra are in good agreement with the experimental ones. New non-destructive methods for determining the ITO film parameters (sheet resistivity, thickness, electron concentration and mobility) have been developed. They are based on a fitting procedure for reflectivity and/or transmittance spectra. Full article
(This article belongs to the Section Optics and Lasers)
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17 pages, 4386 KB  
Article
Advanced SPR-Based Biosensors for Potential Use in Cancer Detection: A Theoretical Approach
by Talia Tene, Fabian Arias Arias, Darío Fernando Guamán-Lozada, María Augusta Guadalupe Alcoser, Lala Gahramanli, Cristian Vacacela Gomez and Stefano Bellucci
Sensors 2025, 25(9), 2685; https://doi.org/10.3390/s25092685 - 24 Apr 2025
Cited by 5 | Viewed by 1976
Abstract
This study presents a numerical investigation of surface plasmon resonance (SPR) sensors based on multilayer configurations incorporating BK7, silver, silicon nitride (Si3N4), and black phosphorus (BP). Using the transfer matrix method, the optical performance of four architectures was evaluated [...] Read more.
This study presents a numerical investigation of surface plasmon resonance (SPR) sensors based on multilayer configurations incorporating BK7, silver, silicon nitride (Si3N4), and black phosphorus (BP). Using the transfer matrix method, the optical performance of four architectures was evaluated under refractive index perturbations consistent with values reported in prior theoretical and experimental studies. The sensor response was characterized through metrics such as angular sensitivity, resonance shift, full width at half maximum, attenuation, and derived figures including detection accuracy and limit of detection. Parametric optimization was performed for the thickness of each functional layer to enhance sensing performance. Among all configurations, those incorporating both Si3N4 and BP demonstrated the highest angular sensitivity, reaching up to 394.46°/RIU. These enhancements were accompanied by increased attenuation and spectral broadening, revealing trade-offs in sensor design. The results, based entirely on numerical modeling, provide a comparative framework for guiding SPR sensor optimization under idealized optical conditions. Full article
(This article belongs to the Section Biomedical Sensors)
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22 pages, 11419 KB  
Article
A Modified Model Dielectric Function for Analyzing Optical Spectra of InGaN Nanofilms on Sapphire Substrates
by Devki N. Talwar, Hao-Hsiung Lin and Jason T. Haraldsen
Nanomaterials 2025, 15(7), 485; https://doi.org/10.3390/nano15070485 - 24 Mar 2025
Viewed by 1246
Abstract
Due to a lower InN bandgap energy Eg~0.7 eV, InxGa1xN/Sapphire epifilms are considered valuable [...] Read more.
Due to a lower InN bandgap energy Eg~0.7 eV, InxGa1xN/Sapphire epifilms are considered valuable in the development of low-dimensional heterostructure-based photonic devices. Adjusting the composition x and thickness d in epitaxially grown films has offered many possibilities of light emission across a wide spectral range, from ultraviolet through visible into near-infrared regions. Optical properties have played important roles in making semiconductor materials useful in electro-optic applications. Despite the efforts to grow InxGa1xN/Sapphire samples, no x- and d-dependent optical studies exist for ultrathin films. Many researchers have used computationally intensive methods to study the electronic band structures Ejk, and subsequently derive optical properties. By including inter-band transitions at critical points from Ejk, we have developed a semiempirical approach to comprehend the optical characteristics of InN, GaN and InxGa1xN. Refractive indices of InxGa1xN and sapphire substrate are meticulously integrated into a transfer matrix method to simulate d- and x-dependent reflectivity RE  and transmission TE spectra of nanostructured InxGa1xN/Sapphire epifilms. Analyses of RE and TE have offered accurate x-dependent shifts of energy gaps for InxGa1xN (x = 0.5, 0.7) in excellent agreement with the experimental data. Full article
(This article belongs to the Section Nanocomposite Materials)
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9 pages, 1759 KB  
Article
Study of the Elemental Composition of Gadolinium–Aluminum Garnets—Obtaining Predictable Optical Properties
by Natalia A. Korotkova, Kseniya V. Petrova, Vasilisa B. Baranovskaya, Marina S. Doronina and Alexandra A. Arkhipenko
Solids 2024, 5(4), 617-625; https://doi.org/10.3390/solids5040041 - 2 Dec 2024
Cited by 1 | Viewed by 1451
Abstract
For the first time, inductively coupled plasma mass spectrometry (ICP-MS) was developed for determining the target elemental composition of gadolinium–aluminum garnets with the varying composition Gd3–xCexScyAl5–yO12, where x = 0.01–0.16 and y = [...] Read more.
For the first time, inductively coupled plasma mass spectrometry (ICP-MS) was developed for determining the target elemental composition of gadolinium–aluminum garnets with the varying composition Gd3–xCexScyAl5–yO12, where x = 0.01–0.16 and y = 0.25–1.75. This fact has a fundamental importance for obtaining optical ceramics with predictable properties. Using the proposed acid mixture and temperature-time program, microwave digestion of these materials and complete transfer of the sample’s components into solution were possible. Moreover, we estimated the influence of the matrix composition, sample introduction system and collision cell on the limits of determination (LOD) of impurity elements by ICP-MS (Mg, Si, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Y, La, Pr, Nd, Sm, Eu, Tb, Er, Ho, Tm, Yb, and Lu). It has been shown that the conditions of mass spectral analysis proposed in this work provide LOD of target analytes in the range of 1∙10−6–4.15∙10−3 wt.%. The accuracy of the obtained results has been confirmed by the added-found method and by analyzing samples with known chemical composition. The standard deviation of repeatability (Sr) of the developed technique lies in the range from 1 to 6%. The developed analysis method is characterized by sensitivity, robustness and multi-elementality. It has application potential for other optical and ceramic materials of similar composition. Full article
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25 pages, 7806 KB  
Article
Transfer Reconstruction from High-Frequency to Low-Frequency Bridge Responses Under Vehicular Loading with a ResNet
by Xuzhao Lu, Chenxi Wei, Limin Sun, Ye Xia and Wei Zhang
Appl. Sci. 2024, 14(23), 10927; https://doi.org/10.3390/app142310927 - 25 Nov 2024
Viewed by 1422
Abstract
The reconstruction of bridge responses has been a significant area of focus within the field of structural health monitoring. This process entails the cross-reconstruction of responses from various cross-sections to identify any anomalies at specific locations, which may indicate the presence of structural [...] Read more.
The reconstruction of bridge responses has been a significant area of focus within the field of structural health monitoring. This process entails the cross-reconstruction of responses from various cross-sections to identify any anomalies at specific locations, which may indicate the presence of structural defects. Traditional research has concentrated on simulating the relationships between different cross-sections for both high- and low-frequency components in isolation. However, this study introduces an innovative approach using a residual network (ResNet) to reconstruct high-frequency bridge responses under vehicular loading and demonstrates its applicability to low-frequency response reconstruction as well. The theoretical basis of this method is established through an analysis of the dynamics within a simplified vehicle-bridge-interaction (VBI) system. This analysis reveals that the transfer matrices for both high- and low-frequency components remain consistent across various loading conditions. Then, a data interception technique is introduced to separate high-frequency, low-frequency, and temperature-related components based on their spectral characteristics. The ResNet modeled the inter-sectional relationships of the high-frequency components and was then used to reconstruct the low-frequency responses under vehicular loading. The methodology was validated using a series of finite element models, confirming the uniformity of the transfer matrix between high- and low-frequency vibration components of the bridge. Field testing was also conducted to evaluate the practical effectiveness of the method. The proposed transfer–reconstruction method is expected to significantly reduce training dataset requirements compared with existing methods, thereby enhancing the efficiency of structural health monitoring systems. Full article
(This article belongs to the Special Issue Structural Health Monitoring in Bridges and Infrastructure)
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15 pages, 3516 KB  
Article
Modeling of Complex Integrated Photonic Resonators Using the Scattering Matrix Method
by Di Jin, Sian Ren, Junkai Hu, Duan Huang, David J. Moss and Jiayang Wu
Photonics 2024, 11(12), 1107; https://doi.org/10.3390/photonics11121107 - 22 Nov 2024
Cited by 4 | Viewed by 2461
Abstract
We propose a universal approach for modeling complex integrated photonic resonators based on the scattering matrix method. By dividing devices into basic elements including directional couplers and connecting waveguides, our approach can be used to model integrated photonic resonators with both unidirectional and [...] Read more.
We propose a universal approach for modeling complex integrated photonic resonators based on the scattering matrix method. By dividing devices into basic elements including directional couplers and connecting waveguides, our approach can be used to model integrated photonic resonators with both unidirectional and bidirectional light propagation, with the simulated spectral response showing good agreement with experimental results. A simplified form of our approach, which divides devices into several independent submodules such as microring resonators and Sagnac interferometers, is also introduced to streamline the calculation of spectral transfer functions. Finally, we discuss the deviations introduced by approximations in our modeling, along with strategies for improving modeling accuracy. Our approach is universal across different integrated platforms, providing a useful tool for designing and optimizing integrated photonic devices with complex configurations. Full article
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21 pages, 14717 KB  
Article
Structural, Mechanical, and Optical Properties of Laminate-Type Thin Film SWCNT/SiOxNy Composites
by Elizaveta Shmagina, Maksim Antonov, Aarne Kasikov, Olga Volobujeva, Eldar M. Khabushev, Tanja Kallio and Sergei Bereznev
Nanomaterials 2024, 14(22), 1806; https://doi.org/10.3390/nano14221806 - 11 Nov 2024
Cited by 2 | Viewed by 2259
Abstract
The development of new encapsulating coatings for flexible solar cells (SCs) can help address the complex problem of the short lifespan of these devices, as well as optimize the technological process of their production. In this study, new laminate-type protective composite coatings were [...] Read more.
The development of new encapsulating coatings for flexible solar cells (SCs) can help address the complex problem of the short lifespan of these devices, as well as optimize the technological process of their production. In this study, new laminate-type protective composite coatings were prepared using a silicon oxynitride thin-film matrix obtained by curing the pre-ceramic polymer perhydropolysilazane (PHPS) through two low-temperature methods: (i) thermal annealing at 180 °C and (ii) exposure to UV radiation at wavelengths of 185 and 254 nm. Single-walled carbon nanotubes (SWCNTs) were used as fillers via dry transfer, facilitating their horizontal orientation within the matrix. The optical, adhesive, and structural properties of the matrix films and SiOxNy/SWCNT composite coatings, along with their long-term stability, were studied using Fourier transform infrared spectroscopy (FTIR), UV-Vis spectroscopy, HR-SEM, spectral ellipsometry, and a progressive-load scratch test. In this work, the optical constants of PHPS-derived films were systematically studied for the first time. An antireflection effect was observed in the composites revealing their two-component nature associated with (i) the refractive index of the SiOxNy matrix film and (ii) the embedding of a SWCNT filler into the SiOxNy matrix. The curing method of PHPS was shown to significantly affect the resulting properties of the films. In addition to being used as protective multifunctional coatings for SCs, both SiOxNy/SWCNT composites and SiOxNy matrix films also function as broadband optical antireflective coatings. Furthermore, due to the very low friction coefficients observed in the mechanical tests, they show potential as scratch resistant coatings for mechanical applications. Full article
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17 pages, 521 KB  
Article
Numerical Simulation and Parameter Estimation of the Space-Fractional Magnetohydrodynamic Flow and Heat Transfer Coupled Model
by Yi Liu, Xiaoyun Jiang and Junqing Jia
Fractal Fract. 2024, 8(10), 557; https://doi.org/10.3390/fractalfract8100557 - 26 Sep 2024
Cited by 2 | Viewed by 1312
Abstract
In this paper, a coupled model is built to research the space-fractional magnetohydrodynamic (MHD) flow and heat transfer problem. The fractional coupled model is solved numerically by combining the matrix function vector products method in the temporal direction with the spectral method in [...] Read more.
In this paper, a coupled model is built to research the space-fractional magnetohydrodynamic (MHD) flow and heat transfer problem. The fractional coupled model is solved numerically by combining the matrix function vector products method in the temporal direction with the spectral method in the spatial direction. A fast method based on the numerical scheme is established to reduce the computational time. With the help of the Bayesian method, the space-fractional orders of the coupled model are estimated, and the problem of multi-parameter estimation in the coupled model is solved. Finally, a numerical example is carried out to verify the stability of the numerical methods and the effectiveness of the parameter estimation method. Results show that the numerical method is stable, which converges with an accuracy of O(τ2+Nr). The fast method is efficient in reducing the computational time, and the parameter estimation method can effectively estimate parameters in the space-fractional coupled model. The numerical solutions are discussed to describe the effects of several important parameters on the velocity and the temperature. Results indicate that the Lorentz force produced by the MHD flow blocks the movement of the fluid and prolongs the time for the fluid to reach a stable state. But the Hall parameter m weakens this hindrance. The Joule heating effects play a negative role in heat transfer. Full article
(This article belongs to the Special Issue New Advances and Applications of Fractional Oscillate System)
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13 pages, 14855 KB  
Article
Transmission Characteristics Analysis of a Twin-Waveguide Cavity
by Chanchan Luo, Ruiying Zhang, Ben Zhang, Bisheng Qin, Yanshuang Zhao, Bocang Qiu, Bohan Liu and Xiaoming Zhao
Photonics 2024, 11(8), 777; https://doi.org/10.3390/photonics11080777 - 21 Aug 2024
Cited by 1 | Viewed by 1522
Abstract
The transmission spectrum of a twin-waveguide cavity is systematically analyzed based on coupled mode theory, using the transfer matrix method (TMM). The results show that the traveling-wave transmission spectra of the twin-waveguide cavity is entirely determined by the coherent coupling effect involving the [...] Read more.
The transmission spectrum of a twin-waveguide cavity is systematically analyzed based on coupled mode theory, using the transfer matrix method (TMM). The results show that the traveling-wave transmission spectra of the twin-waveguide cavity is entirely determined by the coherent coupling effect involving the parameters of the effective refractive indices of the upper and lower waveguides, the coupling length Lc, and the ratio of the cavity length L to the coupling length (L/Lc). Filters with single, double, or triple-notch filtering could be obtained by choosing an appropriate L/Lc value. When the facet reflection is taken into consideration, the traveling-wave transmission spectrum is modified by the Fabry––Perot (FP) resonance, making it a standing-wave transmission spectrum. As a result, resonance splitting has been observed in the transmission spectrum of twin-waveguide resonators with high facet reflectivity. Further analysis shows that such an abnormal resonance phenomenon can be attributed to the destructive interference between the two FP resonance modes of the upper and lower waveguide through coherent coupling. In addition, narrow bandwidth amplification has also been observed through asymmetric facet reflections. Undoubtedly, all these unique spectral characteristics should be beneficial to the twin-waveguide cavity, achieving many more functions and being widely used in photonic integration circuits (PICs). Full article
(This article belongs to the Special Issue Advances in Semiconductor Photonic Integrated Circuits)
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