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22 pages, 3275 KB  
Article
The Deep Prediction of the Tonglushan Deposit Based on the Wide-Field Electromagnetic Method and Radiometric Spectrometry Measurements
by Yepeng Zhang, Jiabin Yan and Chaoyu Huang
Minerals 2026, 16(6), 639; https://doi.org/10.3390/min16060639 - 16 Jun 2026
Viewed by 126
Abstract
The Tonglushan ore field is an important component of the polymetallic mineralization belt in the middle and lower reaches of the Yangtze River in China. The skarn-type Cu, Fe, Au, and Mo molybdenum deposits are mainly developed in the contact zone between the [...] Read more.
The Tonglushan ore field is an important component of the polymetallic mineralization belt in the middle and lower reaches of the Yangtze River in China. The skarn-type Cu, Fe, Au, and Mo molybdenum deposits are mainly developed in the contact zone between the rock mass and the strata, as well as in the contact zone between residual and capturing bodies in the rock body. The distribution of ore bodies is controlled by faults and strata, but there is a lack of large-scale geophysical information on the contact relationship between the ore-forming geological body and the host rock and on the deep spatial morphology of the ore-forming structure and intrusion rock. The study uses the JS-WEM2 wide-field electromagnetic instrument and the RS230 spectrometer to conduct the ground frequency domain electromagnetic and radiometric spectrometry measurements on four profiles. The measurement results indicate that the fault distribution in the Tonglushan ore field is predominantly in the NW-trending and NE-trending directions. The NW-trending Tonglushan–Lijiashan fault (F2) is a steeply dipping fault; the NE-trending faults are minor, with steep dips, generally extending no deeper than −1000 m. The Tonglushan stock exhibits the northeastward uplift, characterized by southward overlap and southeastward dip. The deep resistivity is greater than 3000 Ω·m, while the resistivity below −1000 m is less than 2000 Ω·m due to the fault influence. The ore bodies are mainly distributed along the contact zones where variations in the occurrence of the rock intersect with the strata. On resistivity profiles, these zones show the gradient variation in resistivity and the distorted shape of the resistivity contour line. The radioactive element contents of wall rock above the ore bodies are characterized by high U, high Th, and low K. The Wide-Field Electromagnetic Method (WFEM) can effectively detect the distribution and morphology of rocks and faults, and combined with the radioactive characteristics of geological bodies, it can effectively identify concealed faults and the favorable mineralization target areas. Novelty: The study combines the WFEM with radiometric measurements to reduce uncertainty in exploration compared to using only one method. It improves the detection accuracy and target identification ability of deep hidden ore bodies, providing the new technical method for deep mineral exploration in complex structural areas. Full article
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23 pages, 374 KB  
Article
Electromagnetic Kantowski–Sachs Solutions in Teleparallel F(T) Gravity
by Alexandre Landry
Symmetry 2026, 18(6), 1028; https://doi.org/10.3390/sym18061028 - 15 Jun 2026
Viewed by 179
Abstract
A covariant reconstruction framework for electromagnetic Kantowski–Sachs (KS) geometries in teleparallel F(T) gravity is developed using the coframe/spin-connection (CSC) formalism and the Coley–Landry invariant approach. In a restricted Maxwell-compatible branch, the electromagnetic conservation laws strongly constrain the anisotropic KS scale [...] Read more.
A covariant reconstruction framework for electromagnetic Kantowski–Sachs (KS) geometries in teleparallel F(T) gravity is developed using the coframe/spin-connection (CSC) formalism and the Coley–Landry invariant approach. In a restricted Maxwell-compatible branch, the electromagnetic conservation laws strongly constrain the anisotropic KS scale factors and lead to the scaling ρemA34. The corresponding symmetric and antisymmetric field equations are derived and used to reconstruct the functional form of F(T) directly from the KS dynamics. Power-law and exponential ansätze generate distinct invariant reconstruction branches associated with electric, magnetic, and transverse electromagnetic sectors. The exponential branch naturally admits reduced teleparallel de Sitter limits and shifted models of the form F(T)=f(T0T). The reconstructed branches describe anisotropic cosmological sectors together with local BH-interior-like sectors that may reproduce reduced BH-interior-like or RN–dS-type behaviors at the level of the KS dynamics. These branches are organized through the invariant coframe/spin-connection classification and screened using the necessary leading-order viability conditions FT>0 and FTT>0. The local and branch-dependent nature of the construction is emphasized throughout. Full article
(This article belongs to the Special Issue Symmetry and Lie Algebras)
17 pages, 6443 KB  
Article
Exceptional Points in Hermitian Media, and Density of States Singularities in Anisotropic, Tellegen, Chiral, Moving-Medium, Omega and Other Isotropy-Broken Materials
by Maxim Durach
Photonics 2026, 13(6), 582; https://doi.org/10.3390/photonics13060582 - 14 Jun 2026
Viewed by 194
Abstract
Anisotropic, Tellegen, chiral, moving-medium-type, omega, gyrotropic, hyperbolic, and multi-hyperbolic materials form an important class of isotropy-broken photonic media in which wave propagation can no longer be characterized by the Fresnel wave surface alone. Here we show that Fresnel wave surfaces can be converted [...] Read more.
Anisotropic, Tellegen, chiral, moving-medium-type, omega, gyrotropic, hyperbolic, and multi-hyperbolic materials form an important class of isotropy-broken photonic media in which wave propagation can no longer be characterized by the Fresnel wave surface alone. Here we show that Fresnel wave surfaces can be converted into propagation maps that organize positive- and negative-phase-velocity propagation together with attenuation and amplification. In Hermitian media, the boundary between forward and backward propagation forms the orthogonal-phase-velocity separatrix. This separatrix is also a continuous locus of orthogonal-phase-velocity exceptional points, where the index-of-refraction operator becomes defective even though the material medium remains Hermitian. In non-Hermitian media, the attenuation–amplification boundary forms the loss–gain separatrix. The associated loss–gain singularities occur where the handedness remains continuous while the gain–loss character changes sign. Their physical importance is revealed by the momentum-resolved density of states: at these points, the Lorentzian linewidth of the non-Hermitian momentum-resolved density of states (DOS) collapses, producing sharp DOS peaks whose sign reverses across the separatrix. Thus, loss–gain singularities are threshold-like singularities of the Fresnel wave-surface propagation map, generated by non-Hermitian linewidth collapse. The result is a compact geometric language for describing how handedness, degeneracy, loss, gain, and momentum-resolved DOS are organized in isotropy-broken electromagnetic materials. Full article
(This article belongs to the Special Issue Plasmonic Metasurfaces and Metamaterials)
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18 pages, 5579 KB  
Article
Research on the Absorption Properties of Fe70Ni30 Alloy/SiO2 Coated Continuous Glass Fiber Composites by Magnetron Sputtering
by Zhuohui Zhou, Mengyu Zhou, Zhiyong Wang and Yan Zhao
Materials 2026, 19(12), 2552; https://doi.org/10.3390/ma19122552 - 12 Jun 2026
Viewed by 230
Abstract
In this study, Fe70Ni30 metal was deposited onto continuous glass fiber composites via magnetron sputtering, followed by surface coating with SiO2. The effects of key process parameters-including Fe70Ni30 sputtering duration (2, 5, 10, 20, and [...] Read more.
In this study, Fe70Ni30 metal was deposited onto continuous glass fiber composites via magnetron sputtering, followed by surface coating with SiO2. The effects of key process parameters-including Fe70Ni30 sputtering duration (2, 5, 10, 20, and 30 min) and SiO2 surface coating-on the electromagnetic properties and microwave absorption performance of the materials were systematically investigated. Scanning electron microscopy (SEM) characterization revealed that as sputtering time increased, the metal coating evolved from discrete small particles into a continuous film. Cross-sectional SEM analysis further demonstrated the formation of a bilayer structure after SiO2 introduction. X-ray diffraction (XRD) patterns confirmed the presence of diffraction peaks corresponding to the Fe70Ni30 alloy solid solution. Electromagnetic parameter measurements indicated that the influence of sputtering time on electromagnetic properties was primarily pronounced during the metal layer growth stage; once a continuous film was formed, the variation in electromagnetic parameters diminished. Concurrently, the SiO2 coating exhibited a significant regulatory effect on dielectric parameters. Reflection coefficient calculations showed that the optimal absorption thickness for the single-layer material ranged from 2.5 to 3.0 mm, with the absorption peak shifting toward lower frequencies as thickness increased. However, the effective absorption bandwidth (EAB) was only 3–5 GHz, failing to meet wideband requirements. In contrast, the three-layer composite structure (total thickness: 3.8 mm) optimized via genetic algorithm achieved impedance gradient and loss synergy, expanding the EBW (R < −10 dB) from 4.8 GHz (single layer) to 10 GHz (8–18.0 GHz)-a substantial improvement over the single-layer configuration. This work provides experimental evidence and technical support for the structural design and process optimization of lightweight, high-efficiency, wideband microwave-absorbing materials. Full article
(This article belongs to the Topic Advanced Composite Materials)
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44 pages, 11558 KB  
Review
Unified Description of Pseudoscalar Meson Structure from Light to Heavy Quarks
by Bilgai Almeida-Zamora, Luis Albino, Adnan Bashir, Jesús Javier Cobos-Martínez and Jorge Segovia
Symmetry 2026, 18(6), 1017; https://doi.org/10.3390/sym18061017 - 12 Jun 2026
Viewed by 130
Abstract
We review the structure of pseudoscalar mesons within an algebraic model formulated in the light-front framework. The approach provides a unified description of leading-twist parton distribution amplitudes, light-front wave functions, generalized parton distributions, parton distribution functions, elastic electromagnetic form factors, charge radii, and [...] Read more.
We review the structure of pseudoscalar mesons within an algebraic model formulated in the light-front framework. The approach provides a unified description of leading-twist parton distribution amplitudes, light-front wave functions, generalized parton distributions, parton distribution functions, elastic electromagnetic form factors, charge radii, and impact-parameter space distributions, all obtained from the same underlying Bethe–Salpeter wave-function representation. The analysis covers light mesons (π,K), the mixed ηη system, heavy–light states (D,Ds,B,Bs,Bc), and heavy quarkonia (ηc,ηb), thereby enabling a systematic study of quark-mass effects, flavor-symmetry breaking, and the transition from emergent hadronic mass to heavy-quark dynamics. Where available, results are compared with experimental measurements, functional methods such as lattice-QCD calculations and Dyson–Schwinger Equation formalism, and other phenomenological approaches. The algebraic model thus offers a transparent, symmetry-preserving, and analytically tractable framework for connecting the longitudinal, transverse-momentum, and spatial structure of pseudoscalar mesons across all quark-mass regimes. Full article
(This article belongs to the Section Physics)
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12 pages, 1664 KB  
Article
Synthesis of Fe-CNFs and Mechanistic Insights into Carbon-Water Reaction
by Wenqi Gao, Yuan Meng, Xinran Zhang, Liqiang Liu, Yunjie Zhang, Jin Zhou and Zifei Sun
Nanomaterials 2026, 16(11), 700; https://doi.org/10.3390/nano16110700 - 5 Jun 2026
Viewed by 413
Abstract
Iron-based carbon nanofibers (Fe-CNFs) have garnered significant attention due to their promising applications as functional materials or precursors in the field of catalysis, energy storage, and electromagnetic interference shielding. In this work, electrospun Fe3O4-CNFs were reduced under a H [...] Read more.
Iron-based carbon nanofibers (Fe-CNFs) have garnered significant attention due to their promising applications as functional materials or precursors in the field of catalysis, energy storage, and electromagnetic interference shielding. In this work, electrospun Fe3O4-CNFs were reduced under a H2/Ar atmosphere to obtain Fe-CNFs, and the reduction temperature and holding time were systematically optimized. Notably, a pronounced carbon gasification phenomenon was observed at elevated temperatures (>550 °C), leading to a complete consumption of the carbon matrix. The underlying mechanism was explored using temperature-programmed reduction with mass spectrometry (TPR-MS) and density functional theory (DFT) calculations. The results suggest that the carbon gasification during the H2 reduction process is primarily driven by the carbon-water reaction, which can be catalyzed by the in situ-formed Fe nanoparticles. As the temperature increases, various reactions—including hydrogen dissociation, H2 spillover, carbon-water reaction, and Boudouard reaction—may progressively consume the carbon framework, ultimately leading to structural collapse and complete material loss. This study elucidates the underlying mechanism of carbon-water reaction and provides practical guidance for the optimization of synthesis parameters, thereby enhancing the yield and structural integrity of free-standing Fe-CNFs for their application in catalysis and energy storage-related fields. Full article
(This article belongs to the Section Energy and Catalysis)
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24 pages, 2504 KB  
Article
Forced Nonlinear Vibration of an Axially Functionally Graded Beam Under the Combined Effects of Electromagnetic Actuation, Mechanical Impact, and Casimir Force
by Nicolae Herisanu, Bogdan Marinca, Vasile Marinca and Livija Cveticanin
Mathematics 2026, 14(11), 1924; https://doi.org/10.3390/math14111924 - 1 Jun 2026
Viewed by 157
Abstract
The present study deals with the nonlinear forced vibration of an axially functionally graded beam subjected to an electromagnetic actuator, moving load, and Casimir force, considering the curvature of the beam and it resting on a nonlinear elastic Winkler–Pasternak foundation. The presence of [...] Read more.
The present study deals with the nonlinear forced vibration of an axially functionally graded beam subjected to an electromagnetic actuator, moving load, and Casimir force, considering the curvature of the beam and it resting on a nonlinear elastic Winkler–Pasternak foundation. The presence of an electromagnetic actuator and Casimir force besides the presence of mechanical impact (moving load) and nonlinear elastic foundation is a characteristic of a real system, but this has not been studied in this form until now, currently representing a remaining gap. The governing differential equations of motion in the considered system are based on Euler–Bernoulli beam theory and von Kármán geometric nonlinearity. The material properties are expressed according to a power law function through the thickness direction. We point out that the present study is the first to consider the curvature in combination with electromagnetic actuation, Casimir force, an elastic foundation, and moving load. Unlike in other works, axial inertia is not assumed to be negligible in our investigation. The Optimal Homotopy Asymptotic Method is employed to obtain an approximate analytical expression for the nonlinear dynamic response and the nonlinear frequency. The solutions obtained are very accurate in comparison with numerical solutions, and our procedure is simple and easy to implement for nonlinear problems. The local stability near the primary resonance and internal resonance is analyzed by means of the variable expansion method, the homotopy perturbation method, equilibrium points, the Jacobian matrix, and the Routh–Hurwitz criterion. Full article
(This article belongs to the Section C2: Dynamical Systems)
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14 pages, 9584 KB  
Article
Preparation of Au/Cl Modified Multi-Walled Carbon Nanotube Composite Film for Electromagnetic Interference Shielding
by Xiaolu Mao, Changsheng Yin, Yang Cao, Xiaodong Shen and Wenbo Xin
Crystals 2026, 16(6), 368; https://doi.org/10.3390/cryst16060368 - 1 Jun 2026
Viewed by 279
Abstract
Carbon nanotubes (CNT) are among the strongest candidates for electromagnetic interference (EMI) shielding materials because of their excellent performance. However, when assembled into macroscale materials, their conductivity is usually limited to 104 S/m, restricting further application as shielding materials. Here, we prepared [...] Read more.
Carbon nanotubes (CNT) are among the strongest candidates for electromagnetic interference (EMI) shielding materials because of their excellent performance. However, when assembled into macroscale materials, their conductivity is usually limited to 104 S/m, restricting further application as shielding materials. Here, we prepared a carbon nanotube composite film (Au/Cl-CNT) with high conductivity and excellent EMI properties. Characterizations confirm that Au exists in the form of uniform Au plates and particles anchored on the CNT surface, while Cl is doped into the CNT framework as halogen dopants. The optimized Au/Cl-CNT film delivers an ultra-high electrical conductivity of 3.39 × 105 S/m, which is approximately 23 times higher than that of the pristine CNT film. The excellent electrical properties of the Au/Cl-CNT films endow them with excellent EMI shielding effectiveness (SE). Au/Cl-CNT films with a thickness of ~10.5 μm achieve an EMI SE of up to 67 dB across both the X-band and Ku-band. The superior EMI SE mainly results from the combined effect of various mechanisms, namely reflection inside and outside the material, as well as absorption inside the material. This work clarifies the synergistic enhancement mechanism of Au and Cl on CNT conductivity and EMI shielding, offering new insights into halogen-modified shielding materials. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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20 pages, 7057 KB  
Article
Suppression Method of Sub/Super-Synchronous Oscillation in Direct-Drive Wind Farms Based on a Hybrid GFL-GFM Control Configuration
by Kun Wang and Jiang Li
Energies 2026, 19(11), 2661; https://doi.org/10.3390/en19112661 - 31 May 2026
Viewed by 235
Abstract
Currently, grid-following (GFL) control is widely adopted in direct-drive wind farms. Its external impedance characteristic exhibits negative resistance and capacitive reactance, frequently inducing sub/super-synchronous oscillations in the direct-drive wind farm and weak grid interactive system. The positive resistance characteristic of grid-forming (GFM) control [...] Read more.
Currently, grid-following (GFL) control is widely adopted in direct-drive wind farms. Its external impedance characteristic exhibits negative resistance and capacitive reactance, frequently inducing sub/super-synchronous oscillations in the direct-drive wind farm and weak grid interactive system. The positive resistance characteristic of grid-forming (GFM) control can, to a certain extent, improve the impedance characteristic of wind farms and enhance the system stability margin. However, the influence of the proportion and deployment location of GFM control within a wind farm on the mitigation of sub/super-synchronous oscillations merits further exploration. First, this paper establishes the sequence impedance models for both GFL and GFM control, analyzes the underlying causes of system oscillations from an impedance perspective, and proposes a method for calculating the stability margin of a grid-connected direct-drive wind farm system that comprehensively accounts for the generalized short-circuit ratio, the critical short-circuit ratio of the equipment, and the steady-state operational constraints of the system. Subsequently, the mitigation effects of the connection location and capacity proportion of GFM wind turbines on sub/super-synchronous oscillations are quantitatively assessed, yielding feasible ranges of the short-circuit ratio under various operating conditions that ensure stable operation of the direct-drive wind farm. The system stability is further examined via Nyquist curve analysis. Finally, the effectiveness of the proposed method is validated by electromagnetic transient simulations in MATLAB/Simulink. Full article
(This article belongs to the Section A: Sustainable Energy)
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17 pages, 8257 KB  
Article
Numerical Study on the Effects of Thermo-Electromagnetic Force on Solute Transport and Microstructural Evolution in a Directionally Solidified Al-2.5 wt.% Cu Alloy
by Fengli Ren, Zhicong Ding, Gang Wang, Ming Yang, Xiaofeng Xu and Honghao Ge
Materials 2026, 19(11), 2267; https://doi.org/10.3390/ma19112267 - 27 May 2026
Viewed by 240
Abstract
Thermo-electromagnetic force plays a crucial role in tailoring the solidification microstructure by altering thermal-solutal buoyancy. However, while in situ synchrotron experiments offer some observations of microstructural evolution, their restricted spatial resolution and beam intensity prevent the full characterization of fluid flow and solute [...] Read more.
Thermo-electromagnetic force plays a crucial role in tailoring the solidification microstructure by altering thermal-solutal buoyancy. However, while in situ synchrotron experiments offer some observations of microstructural evolution, their restricted spatial resolution and beam intensity prevent the full characterization of fluid flow and solute transport during solidification. To address this limitation, a calibrated model of a cellular automaton method coupled with a Eulerian multiphase approach is employed in this study to comprehensively investigate the impact of solute distribution on grain evolution during the directional solidification of an Al-2.5 wt.% Cu alloy under varying steady magnetic fields from 0.5 T to 4.0 T. The model incorporates heat and solute transport, nucleation, grain growth, and complex melt flows driven by thermal-solutal buoyancy, alongside thermo-electromagnetic effects and induced Lorentz forces. Simulations reveal that under a steady 0.5 T magnetic field, an elliptical copper-rich region forms near the solidification front. This solute redistribution significantly influences the development of a tilted solid–liquid interface, consistent with experimental observations. As the magnetic field strength increases, this copper-rich region transitions from an elliptical to a circular morphology. Notably, under a 4.0 T magnetic field, the tilted interface is effectively stabilized due to the suppression of grain growth. Furthermore, significant grain refinement is observed under a steady magnetic field, as the average grain size decreases from 209.3 μm without magnetic field to 122.5 μm of 0.5 T. This refinement is driven by redistribution of the copper concentration, which increases the undercooling from 1.4 K to 3.7 K and generates new nucleation zones. This solute-driven mechanism is identified as the primary cause of grain refinement under steady magnetic fields and is successfully validated by experimental results. These results shed new light on the mechanism of grain growth evolution under a steady magnetic field. Full article
(This article belongs to the Special Issue Achievements in Foundry Materials and Technologies (Second Edition))
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15 pages, 4285 KB  
Article
Structure-Dependent Resistance to Plasma Impact and Terahertz Shielding Stability of MXene/Aramid Nanofiber Composite Films
by Yizhou Luo, Jingyu Wang, Xing Luo, Hengpei Su, Zelin Zhao and Wanxia Huang
Materials 2026, 19(11), 2195; https://doi.org/10.3390/ma19112195 - 22 May 2026
Viewed by 281
Abstract
To improve the durability of terahertz (THz) electromagnetic shielding materials in atomic oxygen environments relevant to low Earth orbit (LEO), two MXene/para-aramid nanofiber (ANF) composite architectures were designed, including a uniformly blended structure and a sandwich configuration. Ti3C2Tx [...] Read more.
To improve the durability of terahertz (THz) electromagnetic shielding materials in atomic oxygen environments relevant to low Earth orbit (LEO), two MXene/para-aramid nanofiber (ANF) composite architectures were designed, including a uniformly blended structure and a sandwich configuration. Ti3C2Tx MXene was used as the conductive phase, while ANF served as a protective matrix. Oxygen plasma treatment was employed to simulate atomic oxygen exposure. The results show that the plasma resistance of blended films strongly depends on MXene content. Increasing the MXene fraction enhances conductive network redundancy and reduces conductivity degradation. In contrast, the sandwich-structured film exhibits superior structural stability. The outer ANF layers effectively limit direct plasma–MXene interaction and undergo surface carbonization during plasma exposure, forming an additional diffusion barrier. As a result, the sandwich film maintains stable THz shielding performance, with the average shielding effectiveness increasing from 42.6 dB to 44.9 dB after plasma treatment. These results indicate that structural regulation of the internal conductive network, which limits plasma penetration, is essential for maintaining stable MXene-based THz shielding performance under oxidative plasma conditions. Full article
(This article belongs to the Section Thin Films and Interfaces)
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26 pages, 7091 KB  
Article
Evaluation of the Effectiveness of Distributed Antenna Systems for Improving Indoor Wireless Network Coverage
by Kyrmyzy Taissariyeva, Zhuldyz Kalpeyeva, Yerlan Tashtay, Yermek Bekenov and Zhansaya Ayapbergen
J. Sens. Actuator Netw. 2026, 15(3), 39; https://doi.org/10.3390/jsan15030039 - 18 May 2026
Viewed by 485
Abstract
A pressing challenge of modern wireless networks is ensuring stable radio coverage inside buildings, where radio signal propagation is significantly complicated by the influence of building structures. Reinforced concrete walls, floor slabs, internal partitions, and energy-efficient windows with metallized coatings create substantial obstacles [...] Read more.
A pressing challenge of modern wireless networks is ensuring stable radio coverage inside buildings, where radio signal propagation is significantly complicated by the influence of building structures. Reinforced concrete walls, floor slabs, internal partitions, and energy-efficient windows with metallized coatings create substantial obstacles to the propagation of electromagnetic waves, causing reflection, absorption, and scattering. As a result, areas with weakened coverage are formed inside buildings, leading to deterioration in mobile communication quality and reduced data transmission rates. This study presents an experimental investigation of the received signal strength of mobile operators inside a multi-storey residential complex. An analysis was conducted to evaluate the impact of building height, architectural features, and construction materials on radio signal propagation. In addition, the frequency bands used in 4G LTE and 5G networks by mobile operators were examined. It was found that LTE networks mainly operate in the 1.8–2.1 GHz frequency range, whereas 5G networks operate in the n77 band (3.6–3.7 GHz), which provides higher data throughput but is characterized by greater signal attenuation when propagating inside buildings. To address this issue, a Distributed Antenna System (DAS) based on GPON technology was implemented in the studied building. The placement of antenna equipment on the roof enabled the efficient reception of the signal from the base station and its subsequent distribution inside the building through an internal antenna network. The measurement results demonstrated that the deployment of a GPON-based DAS significantly improves the received signal level and ensures more uniform radio coverage inside indoor environments. The obtained results confirm that the use of distributed antenna systems is an effective solution for compensating signal losses caused by the shielding effect of building structures and can significantly improve the quality of mobile communications in dense urban environments. The results show that the RSRP level in indoor environments without DAS decreases to approximately −100 to −110 dBm, while after deployment of the GPON-based DAS, it improves to −45 to −75 dBm. This corresponds to a signal gain of up to 40–50 dB, ensuring stable connectivity and significantly improved data transmission performance. Full article
(This article belongs to the Section Communications and Networking)
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20 pages, 6361 KB  
Article
3D Vector Finite Element Modeling and Validation of High-Gain Parabolic Antennas
by Huaiguo Ban, Xin Shi and Donghuan Liu
Mathematics 2026, 14(10), 1706; https://doi.org/10.3390/math14101706 - 15 May 2026
Viewed by 230
Abstract
Aiming at the precise modeling demand of high-gain parabolic antennas for 6G and terahertz wireless communications, this study implements and systematically validates a high-precision, self-developed full-wave electromagnetic analysis framework based on the 3D vector finite element method (VFEM). The weak form of the [...] Read more.
Aiming at the precise modeling demand of high-gain parabolic antennas for 6G and terahertz wireless communications, this study implements and systematically validates a high-precision, self-developed full-wave electromagnetic analysis framework based on the 3D vector finite element method (VFEM). The weak form of the vector Helmholtz equation is rigorously derived to ensure the discrete system is consistent with Maxwell’s equations physically. First-order tetrahedral edge elements are adopted to suppress spurious modes, and a computationally robust implementation of the Silver–Müller absorbing boundary condition (ABC) is carried out for accurate open-domain truncation. Four progressive test cases (parallel-plate waveguide, free-space dipole, finite planar reflector, and parabolic antenna) validate the algorithm’s performance: the relative error of the parabolic antenna’s gain is only 3.39%, with the L2-norm error well constrained in all cases. The self-developed VFEM achieves precision comparable to commercial software with a transparent underlying architecture. Future research will focus on high-order basis functions, AI-based intelligent ABCs, and the domain decomposition method (DDM) for billion-level-degree-of-freedom simulations. This work lays a solid algorithmic foundation for the forward design of high-throughput communication antennas. Full article
(This article belongs to the Section E: Applied Mathematics)
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21 pages, 3774 KB  
Article
Discrete-Time Fourier Series Neural Network Control for Nonlinear SISO Systems: Validated in a Magnetic Levitation Model
by Sergio Miguel Delfín-Prieto, Roberto Valentín Carrillo-Serrano, Ernesto Chavero-Navarrete, José Gabriel Ríos-Moreno and Mario Trejo-Perea
Mathematics 2026, 14(10), 1649; https://doi.org/10.3390/math14101649 - 13 May 2026
Viewed by 313
Abstract
The control of nonlinear, open-loop unstable dynamics is a prevalent engineering challenge, often benchmarked through magnetic levitation (Maglev) systems. While continuous-time adaptive neural networks are commonly used to reject disturbances, their direct digital implementation often induces closed-loop instability due to unaccounted sampling effects. [...] Read more.
The control of nonlinear, open-loop unstable dynamics is a prevalent engineering challenge, often benchmarked through magnetic levitation (Maglev) systems. While continuous-time adaptive neural networks are commonly used to reject disturbances, their direct digital implementation often induces closed-loop instability due to unaccounted sampling effects. To address this, this paper proposes a discrete-time Fourier Series Neural Network (FSNN) control architecture for nonlinear Single-Input Single-Output (SISO) systems that can be transformed into the Brunovsky canonical form. The parameter adaptation laws are synthesized strictly in the discrete-time domain using Lyapunov stability theory. This approach yields an explicit upper bound for the digital sampling period, ensuring a proper implementation. Furthermore, it guarantees the Uniform Ultimate Boundedness (UUB) of the tracking error in the presence of bounded unmodeled dynamics and periodic disturbances. Numerical simulations of Maglev dynamics validate the theoretical bounds, demonstrating that the FSNN controller achieves rapid learning and generates a smooth control effort. Ultimately, by eliminating the instability risks of continuous-time approximations, this methodology bridges the gap between theoretical design and digital implementation, providing a practical framework for the robust control of electromagnetic actuators and other nonlinear industrial processes. Full article
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24 pages, 40801 KB  
Article
Frequency-Domain 3D BSEM Forward and Inverse Modeling and Application in HDR Energy Monitoring and Development in the Gonghe Basin
by Yuanyuan Ming, Zhaofa Zeng, Eryong Zhang, Qiang Wei, Zhengpu Cheng, Sheng Lian and Xianpeng Jin
Energies 2026, 19(10), 2326; https://doi.org/10.3390/en19102326 - 12 May 2026
Viewed by 295
Abstract
The formation and exploitation of geothermal reservoirs in hot dry rock (HDR) primarily rely on microseismic methods, but seismic techniques lack sufficient sensitivity to fluids. The electromagnetic method, however, demonstrates sensitivity to fluid movements during the monitoring of fracturing processes that form geothermal [...] Read more.
The formation and exploitation of geothermal reservoirs in hot dry rock (HDR) primarily rely on microseismic methods, but seismic techniques lack sufficient sensitivity to fluids. The electromagnetic method, however, demonstrates sensitivity to fluid movements during the monitoring of fracturing processes that form geothermal reservoirs in HDR. This study examines the role of electromagnetic methods in HDR development, taking China’s first Enhanced Geothermal System (EGS) demonstration site in the Qinghai Gonghe Basin as a case study. Based on the Gonghe HDR development site, a frequency-domain 3D borehole-to-surface electromagnetic forward modeling method with unstructured-grid discretization was employed to simulate the complex electromagnetic field responses induced by fracturing fluid injection and dynamic changes in fractures during HDR reservoir development. To enhance computational efficiency, a supercomputer was employed to perform 3D borehole-to-surface electromagnetic data inversion under conditions of massive multi-source and multi-frequency data. This quantitatively revealed the electrical characteristics at different depth intervals within the study area. The research demonstrates the feasibility of borehole-to-surface electromagnetic methods for determining the spatial distribution of fracturing injection, dynamically monitoring fracture development, and tracking fluid migration, thereby providing crucial technical support for monitoring HDR resources development. Full article
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