Electromagnetic Theory - Science topic

Abstract We present a novel methodology for detecting nuclear force signatures in historical photography through electromagnetic and gravitational pattern analysis. By applying quantum nuclear physics principles to image density distributions, we demonstrate that material composition can be inferred from photographic intensity patterns and successf...

This chapter, part of the Proceedings of the III International Workshop on Quantum Nonstationary Systems (eds. Alexandre Dodonov and Lucas Chibebe Celeri), held in Brasilia in August 2024, offers a comprehensive overview of spontaneous emission (SE) and the Purcell effect within the broader context of quantum electrodynamics (QED) and vacuum fluctu...

Establishing an accurate dynamic model for rolling bearings and analyzing their motion characteristics under varying operating conditions is crucial for identifying dynamic behaviors caused by bearing defects, which aids in effective fault diagnosis and prediction. Existing dynamic models often simplify bearing behavior by neglecting external elect...

The gradient coil is a crucial component of the magnetic resonance imaging (MRI) system, responsible for generating linear gradient magnetic fields to facilitate spatial positioning for image reconstruction. This article combines a new target field point method and stream function with classical electromagnetism theory to design a Biplanar gradient...

Orb-like anomalous phenomena have been observed exhibiting behaviours that appear to contradict classical physical constraints-such as inertial motion, instantaneous velocity shifts, and nonlocal translational effects. These anomalies suggest the presence of an alternative mode of spatial engagement rooted in deeper scalar field dynamics. This tech...

The Bouguer–Beer–Lambert law is undoubtedly the most important law in spectroscopy, being indispensable for chemical analysis and quantitative measurements. Its straightforward formulation and elegant functionality have attracted wide applicability across diverse scientific disciplines and industries. However, fundamental, chemical and instrumental...

The prevailing assumption in modern physics is that the photon is massless, a foundational postulate of classical electromagnetism and the standard model of particle-physics (SMoPP). However, theoretical advancements and high-precision experimental measurements suggest the need to re-evaluate this assumption. This study employs Bayesian probability...

Photon magnon hybrid systems present a promising platform for the development of next generation devices in quantum information processing and quantum sensing technologies. In this study, we investigate the control of photon magnon coupling (PMC) strength through systematic variation of the saturation magnetization in a planar hexagonal ring resona...

This paper explores the hypothesis that magnetic phenomena can be reinterpreted within the Laursian Dimensionality Theory (LDT) framework as manifestations of rotational curvature in a 2+2 dimensional spacetime structure. We analyze the theoretical foundations of this approach, derive mathematical formalisms consistent with established electromagne...

Ambitions for the next generation of wireless communication include high data rates, low latency, ubiquitous access, ensuring sustainability (in terms of consumption of energy and natural resources), all while maintaining a reasonable level of implementation complexity. Achieving these goals necessitates reforms in cellular networks, specifically i...

This paper presents a simple and efficient approach for an antenna design and construction based on an I-shaped slot-loaded triple wideband microstrip monopole antenna with novel radio frequency (RF) power/energy harvesting capability. The proposed antenna takes advantage of circular ring shape properties, loaded with an I-shaped slot with degraded...

We present in this article fundamental elements that can guide us in the process of developing a possible classical electromagnetic theory. Maxwell's equations, which involve line integrals of the electric and magnetic fields, are reformulated into expressions that are almost completely symmetrical. We show that the continuity equation for current...

This paper explores the implications of our previously proposed reformulation of Einstein's mass-energy equivalence from E = mc 2 to Et 2 = md 2 for electromagnetic phenomena, with specific focus on magnetic fields. We demonstrate that interpreting spacetime as a "2+2" dimensional structure-with two rotational spatial dimensions and two temporal di...

This article addresses several key issues with the current laws of electrodynamics, including Lorentz’s law, Faraday’s law, and the MaxwellAmp`ere law, by highlighting various scenarios where these laws fail to describe physical phenomena. It also presents a case where the condition ∇ · B is non-zero, challenging the standard belief that magnetic f...

I reply all your comments in red...: No, energy is not hidden mass. E=mc^2 is a nonsense expression. I know your background is in Electrical Engineer with experiences in Experimentation....Then, I think you know very well a lot of experiments in the Electrical Field that support Electrical Theory or Electromagnetic Theory & Mawell Theory...Then, ex...

Nowadays, conventional teaching methods are gradually evolving into innovative teaching and learning techniques to enhance student engagement and understanding in the classroom/ during lecture. The choice of teaching strategies depends on the course requirements and the lecturer’s approach. In Engineering courses, Electromagnetic Theory (EMT) is wi...

This paper revisits the calculation of the transmission line impedance for a wire above a ground plane, critically examining the traditional mirror method. In a previous study titled "A New Horizon: Rethinking Transmission Line Impedance in Electromagnetic Theory" [1], it was demonstrated that the mirror method systematically overestimates the char...

Although Maxwell's theory is highly successful, it is imperfect. It cannot be perfectly integrated with quantum mechanics and fails to explain issues such as the Faraday Paradox. The author believes this is because Maxwell's theory does not fundamentally explain the nature of the generation of the magnetic field. This paper first provides a profoun...

As the final crucial line of defense against well blowout accidents, the implementation of the relief well scheme facilitates the swiftest possible rescue of the target well, thereby minimizing economic losses and enhancing production efficiency. Among them, the relative distance and orientation determination between the relief well and the acciden...

The photonic spin Hall effect can engender transverse spatial and angular displacements in both transmission and reflection, with significant applications in optical imaging, edge detection, and the development of spin-based nanophotonic devices. While previous research has focused on enhancing the photonic spin Hall effect, suppression can be bene...

We will focus on Fredholm and Volterra integral equations. We have examined the development of integral equations that has significant applicability in physical problems. A multitude of initial and boundary value issues can be converted into integral equations. Mathematical physics problems are typically regulated by integral equations. There are s...

Our contribution focuses on methods relevant to teaching/learning in optics, electromagnetic wave theory, and materials science at post-secondary, tertiary, or higher education levels, as well as researching and applying new findings to teaching. In particular, this paper describes a technique for performing a quasi-optical (microwave) experiment t...

In response to the challenges of detecting and forecasting adverse geological bodies and water inrush risks in long tunnels, this paper, based on the comprehensive analysis of seismic reflection waves and electroseismic effect coupling, has achieved a long-distance tunnel construction process, adverse geological detection, and early warning, and ha...

Grading assessments is time-consuming and prone to human bias. Students may experience delays in receiving feedback that may not be tailored to their expectations or needs. Harnessing AI in education can be effective for grading undergraduate physics problems, enhancing the efficiency of undergraduate-level physics learning and teaching, and helpin...

Schwartz Linear Algebra extends the operational toolbox of Laurent Schwartz’s Distribution Theory, a celebrated cornerstone of modern analysis, to provide a rigorous and manageable mathematical structure for addressing foundational problems of quantum mechanics in infinite-dimensional spaces. Schwartz linear algebra is motivated by the need to form...

The concept of electrostatic potential energy has served as a starting point for a deeper understanding of several models in electromagnetic theory. We use this concept looking for a connection between some of those models, in particular, we analyze the contribution of electrostatic potential energy for different configurations of electric charge w...

General Relativity (GR), introduced by Albert Einstein in 1915, revolutionized the understanding of gravity, describing it not as a traditional force but as a curvature in space-time induced by mass and energy. While traditionally associated with astrophysics, cosmology, and high-energy physics, GR's applications have extended to many fields, inclu...

Complex quantities have become an indispensable tool in the field of electrical engineering. The use of complex numbers and complex functions simplifies the analysis and understanding of various phenomena, particularly in the domains of alternating current (AC) circuit analysis, electromagnetic theory, and signal processing. This article explores t...

This paper discusses up to what point the fundamental two slits electron diffraction experiment can be modelled as a purely classical electromagnetic scattering problem [1]. The trajectories of single point charges (electrons with no spin) are computed as they pass, one by one, between two ungrounded perfectly conducting spheres, all computations b...

The Akbota equation (AE), as a Heisenberg ferromagnetic-type equation, can be extremely valuable in the study of curve and surface geometry. In this study, we employ the well-known two analytical techniques, the modified Khater method and the new sub-equation approach, to construct the solitary wave solution of AE. Transform the partial differentia...

Achieving oscillations with small dimensions, high power, high coherence, and low phase noise has been a long-standing goal in wave physics, driving innovations across classical electromagnetic theory and quantum physics. Key applications include electronic oscillators, lasers, and spin-torque oscillations. In recent decades, physicists have increa...

Holographic multiple-input multiple-output (MIMO) method leverages spatial diversity to enhance the performance of wireless communications and is expected to be a key technology enabling for high-speed data services in the forthcoming sixth generation (6G) networks. However, the antenna array commonly used in the traditional massive MIMO cannot mee...

The Ampere-Maxwell's law and the displacement current constitute one of the most difficult aspects of electromagnetic theory for students in introductory electromagnetics courses. Here we present a set of examples that go beyond the classical ones usually discussed in introductory textbooks. In-depth analysis of these examples allows students to de...

This research paper provides an in-depth exploration of advanced numerical methods in electromagnetics, including the Finite Difference Time Domain (FDTD), Finite Element Method (FEM), Boundary Element Method (BEM), and Method of Moments (MoM). These methods are essential for solving complex electromagnetic problems that are not feasible with tradi...

Light, composed of massless photons, in addition to energy, carries linear and angular momentum, enabling it to exert forces and torques on matter. Recent advances in light-matter interactions particularly on optical torques and angular momentum transport, indicate considerable current interest. In this paper we consider optical torques exerted by...

1 ̂ m/s → Magnetic permeability velocity, ⃗⃗⃗ = 1 ̂ m/s → Electric permittivity velocity Introduction • "Necessity is the mother of invention" is the famous proverb which originates from the inquisitive mind of human beings. • From paleotheolic age to modern world the fight for survival is the necessity that lead to the consequential development of...

The generalized transition matrix method is a computational electromagnetic method based on the Huygens' principle. It is also a kind of domain decomposition method. This book introduces the basic principles, mathematical expressions, key computational techniques and application domain of the GTM, with plenty of examples. The book has 9 chapters, i...

The Elzaki transform provides an elegant method to solve the Airy differential equation, leveraging its unique properties to handle the mixed derivative and variable coefficient terms. While the traditional methods remain standard, the Elzaki transform offers a powerful alternative, particularly when coupled with numerical techniques.

Inspired by the remarkable electromagnetic response capabilities of the complex morphologies and subtle microstructures evolved by natural organisms, this paper delves into the research advancements and future application potential of bionic microwave-absorbing materials (BMAMs). It outlines the significance of achieving high-performance microwave-...

The rectangular tapered waveguide is the most widely used atmospheric microwave plasma source because of its simple structure, reliable performance, and low cost. However, due to the small generated plasma volume and short residence time, this plasma source has low energy efficiency in gas conversion applications such as nitrogen fixation and metha...

Carbon capture and its storage is widely recognized as one of the primary approaches for reducing anthropogenic carbon emissions. The role of geophysical investigation is then for the selection of a suitable site for the geological storage of CO2 and the monitoring of the injection and storage process. The monitoring of the dynamic process can both...

We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyze under what conditions they are conformally related so that they can be regarded as analog models of non-trivial gravitational fields in the...

Objective: The main goal of this research is to design and simulate a unique 2x2 multiple-input and multiple-output, (MIMO) Rectangular Microstrip Patch antenna (RMPA) using an inverted array orientation approach with keen interest in improving the radiation efficiency and performance characteristics of the X- band based antenna. Theoretical Framew...

The induction arrow C is a characteristic of the variable geomagnetic field at one observation point (x, y) for a certain period T of geomagnetic variations B. It visually describes the magnitude and direction of the deviation of the geomagnetic field vector from the horizontal plane. The induction arrow is nonzero only when the vertical component...

Implantable antennas are essential for wireless communication within the human body, enabling advancements in medical diagnostics and therapies. These antennas must be carefully designed to ensure biocompatibility, reliability, and optimal performance. This abstract provides a review of various antenna structures, which vary widely to meet specific...

This article shows the process in the development of a laboratory practice of Electromagnetic Theory, applied to the Telecommunications, Systems and Electronics Engineering Career, of the Facultad de Estudios Superiores Cuautitlán (FESC) belonging to the Universidad Nacional Autónoma de México (UNAM). The objective for future engineers is to learn...

This article provides in a plain language, with very few mathematical formulas, an overview of theoretical physics from the second half of nineteenth century to the present days. It covers Galilei and Einstein's principles of relativity, Maxwell's electromagnetic theory, special and general relativity, quantum mechanics, quantum field theory and th...

This article provides in a plain language, with very few mathematical formulas, an overview of theoretical physics from the second half of nineteenth century to the present days. It covers Galilei and Einstein's principles of relativity, Maxwell's electromagnetic theory, special and general relativity, quantum mechanics and quantum field theory and...

This article explores the nonlinear dynamical analysis and control of a 2 − DOF system that emulates the lateral vibration of an asymmetric rotor model under external, multi-parametric, and mixed excitation. The linear integral resonant controller ( L I R C ) has been coupled to the rotor as an active damper through a magnetic actuator. The complet...

Electromagnetism is a fundamental pillar of physics, underlying numerous natural phenomena and modern technologies. This study analyzes the evolution of electromagnetic theory from the classical era of Maxwell, through the relativistic contributions of Einstein, to the quantum developments of Feynman. The theory has undergone three main phases: cla...

The development of unit systems in physics reflects our fundamental understanding of nature's operations. This paper demonstrates that the Quantum Measurement Units (QMU) and centimeter-gram-second (cgs) systems share a profound natural alignment with physical geometry and distributed charge that makes them inherently superior to the meter-kilogram...

This thesis presents a detailed derivation of Maxwell's equations within the framework of special relativity, exploring their implications in modern electromagnetic theory. Through a novel methodology that combines analytical and numerical approaches, we analyze the behavior of electromagnetic fields in relativistic contexts, providing graphical re...

Existing theories of material structure and quantum field theory cannot describe the specific sources of fundamental particles. In quantum field theory, the generation of particles is the instantaneous transformation of the field, rather than the true creation of particles. It is necessary to explore the composition (or source) of the next level of...

We extend the relativistic quantum solutions for heavy positronium of paper \cite{jxzj-pimuE} to a heavy protonium, i.e. a relativistic proton $p^*$ and antiproton $\bar{p}^*$ orbiting at about the speed of light $c$ under a formal Coulomb potential $\bar{V}_{c}$, in this paper. The $p^*,\bar{p}^*$ reduced masses in orbital $k =n$ (level), $n,l$ (s...

Grading assessments is time-consuming and prone to human bias. Students may experience delays in receiving feedback that may not be tailored to their expectations or needs. Harnessing AI in education can be effective for grading undergraduate physics problems, enhancing the efficiency of undergraduate-level physics learning and teaching, and helpin...

The problem of electromagnetic penetration through an aperture in a perfectly electrically conducting plane is a classical problem in electromagnetic theory and applications. This work aims to investigate the behavior of an electrically small aperture when excited by nonuniform magnetic fields. Based on the Taylor expansion of the exact solution in...

This paper focuses on the magneto-aeroelastic dynamic buckling and flutter generated by traveling waves of rotating conductive disks under air-film loading. A distributed time-variable aerodynamic model is derived by using the Navier–Stokes (NS) equation and the lubrication theory. The electromagnetic force on the disk is modeled by using the elect...

This paper shows to what extent numerical modelling solely based on classical electromagnetic theory can predict quantum like effects regarding the trajectories of charged particles (electrons and protons) as they pass, one by one, between two metallic spheres. Trajectories discontinuities are shown to bear a direct relation to de Broglie´s wavelen...

Nikola Tesla, one of history’s most brilliant inventors, transformed the world with his groundbreaking work in alternating current (AC) electricity, wireless communication, and electromagnetic theory. Despite his extraordinary achievements, Tesla spent his final years in financial hardship and relative obscurity. Following his death in 1943, the U....

Electromagnetic wave propagation is often thought of as the transport of polarised light and this behaviour is well defined by Maxwell’s equations when propagating in an optical fiber. In this paper, we examine the q − direction and n − direction Berry’s phase equation along a Darboux framed optical fibre in Minkowski space. Next, we define q − dir...

We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyse under what conditions they are conformally related, so that they can be regarded as analogue models of non-trivial gravitational fields in t...

The performance of ultra-high performance concrete (UHPC) can be improved by the magnetic orientation of steel fibers. The reinforcement frame has strong interference with the magnetic field, and this interference may even make the production of oriented steel fibers fail. However, the study of the electromagnetic interference caused by fixed steel...

In this paper, we present an unprecedented metamaterial absorber design exhibiting exceptional characteristics in electromagnetic wave absorption. The proposed bent Y-shaped structure, fabricated on an FR-4 substrate with copper patches, showcases remarkable performance across a diverse frequency spectrum. Through exhaustive simulations in CST, thi...

Accurate magnetic field calculation is the premise of electromagnetic performance prediction. Conventional subdomain (SD) techniques assume that the iron’s relative permeability is infinite, leading to falsely overestimated flux density. We propose an accurate magnetic field analytical model for permanent magnet (PM) in-wheel machines considering i...

In this paper, we researched magnetic and electromagnetic curves in multiplicative Euclidean 3-space via multiplicative quaternion algebra. Firstly, we examined the geometric phase representation of the polarized light wave in the optic fiber by multiplicative Frenet frame. Using the quaternionic approaches, we were able to derive the magnetic curv...

By using the finite‐difference time‐domain (FDTD) method and a two‐port network model, this letter investigates the response of a uniformly moving resistive sheet to illuminating electromagnetic plane waves, at normal incidence. The numerical Doppler frequency shifts and scattering matrix are matched with curve‐fitting expressions. The effects of m...

In the context of the Bridge Electromagnetic Theory, a quantum-relativistic theory based on Maxwellian electromagnetism, it has recently been shown that the characteristics of a hydrogen atom can be obtained through an electron-proton orbital capture process forming a non-radial emitting dipolar electromagnetic source. The model structurally differ...

Slobodan Babic's research has had a significant impact in the field of electromagnetics, particularly in areas related to analytical and semi-analytical solutions for problems in electromagnetic theory. His work is widely recognized for advancing methods for calculating parameters such as mutual inductance, magnetic force, and magnetic fields betwe...

When applying the relativistic Lorentz contraction effect to analyze theinteraction between a moving charge and a current-carrying wire, it is found that the repulsive force experienced by the charge moving in the samedirection as the current-carrying electrons is not equal in magnitude to the attractive force experienced by the charge moving in th...

James Clerk Maxwell concluded his pioneering research into electromagnetic theory with the publication of his famous Treatise in 1873. In this work, the theoretical basis for his model of an electromagnetic wave is encapsulated in Figure 66 and its accompanying explanation. This figure illustrates the electromotive force as being orthogonal to the...

The paper aims to apply the trigintaduonions to explore the compatibility of some conservation laws related to four known fundamental interactions, contrasting the physical properties of several associated spaces. J. C. Maxwell first utilized the quaternions to study the electromagnetic theory. Subsequent scholars study the electromagnetic and grav...

This article introduces a novel methodology for tackling stochastic Itô Volterra-Fredholm integral equations through a pseudo-Spectral Galerkin method utilizing shifted Vieta-Fibonacci polynomials. The method is very efficient in solving integral and integro-differential equations, which often arise in many scientific and engineering fields. This a...

Enhancing local field intensity through light field compression is one of the core issues in surface plasmon-enhanced spectroscopy. The theoretical framework for the nanostructure composed of a tip and a substrate has predominantly relied on classical electromagnetic models, ignoring the electron tunneling effect. In this paper, we investigate the...

Periodic Leaky-Wave Antennas (P-LWA) offer highly directive and space-scanning radiation. Unfortunately, they have been plagued by the ``broadside issue'', characterized by a degradation in gain when the antenna's main beam is steered across broadside. While this issue has been addressed by circuit and network approaches, a related fundamental and...

In wireless communications, electromagnetic theory and information theory constitute a pair of fundamental theories, bridged by antenna theory and wireless propagation channel modeling theory. Up to the fifth generation (5G) wireless communication networks, these four theories have been developing relatively independently. However, in sixth generat...

Reconfigurable intelligent surfaces (RIS) can dynamically reconstruct wireless environments to enhance spectral efficiency. However, most existing studies have ignored the impact of the phase error and imperfect amplitude gain of the RIS. In this paper, we investigate the practical RIS-aided multiuser communication systems by maximizing the sum of...

The work used Maxwell's electromagnetic theory to quantitatively describe the emissivity of solid materials through electrical resistivity and temperature. An equation is proposed for recalculating the emissivity of smooth surfaces into powdery or rough surfaces. The obtained theoretical characteristics of the change in the emissivity of 316L powde...

A superconductor placed in a weak magnetic field and cooled down through the transition temperature expels magnetic flux. This phenomenon, known as the Meissner effect, is arguably the most essential property of superconductors. Although macro phenomenological theories and micro theory of superconductors are available, there is still lack of simple...

We present a dual-band, polarization-independent dielectric terahertz absorber exhibiting near-perfect absorption and minimal reflection at frequencies of f 1 = 419 THz and f 2 = 528 THz. Using electromagnetic theory, we modeled the structure to derive the surface electric admittance and magnetic impedance of the metasurface, elucidating the condit...

Analysis of a strong turbulence effect on electromagnetic wave propagation requires extensive knowledge of the earth’s atmospheric phenomena and Maxwell’s electromagnetic theory of light propagation. Strong atmospheric Turbulence often encounters optical systems’ propagation, causing interference and diffraction. Nonetheless, light propagation thro...

Micro- and nanoresonators, which enable light trapping in small volumes for extended durations, play a crucial role in modern photonics. The optical response of these resonators is determined by their fundamental resonances, known as quasinormal modes (QNMs). Over the past decade, the electromagnetic theory of QNMs has undergone significant develop...

The evolution of electrical power systems demands an increasing reliance on unpredictable renewable energy resources (RES). However, integrating these resources poses challenges, as their intermittent nature introduces transient events that can significantly impact power transformers. These transient phenomena may initiate energy oscillations in th...

Micro- and nanoresonators, which enable light trapping in small volumes for extended durations, play a crucial role in modern photonics. The optical response of these resonators is determined by their fundamental resonances, known as quasinormal modes (QNMs). Over the past decade, the electromagnetic theory of QNMs has undergone significant develop...

In the process of Albert Einstein establishing the theory of special relativity, the principle of relativity is completely based on geometrical description. On the other hand, the electromagnetic theory is purely algebraic and complicated. Minkowski ' s work extended it for the 4-dimensional space-time which is purely algebraic as well. However, we...

In the Introduction we define categorification and renormalization methods in the effective field theory (EFT) and follow Helmut Rauch on definition of neutron optics and basic neutron diffraction phenomena. In the second chapter the elementary quantum theory of neutron is presented. In the third chapter we are searching for a new form of relativis...

Accurate magnetic field calculation is the premise of electromagnetic performance prediction. Conventional subdomain (SD) techniques assume that the iron's relative permeability is infinite, leading to falsely overestimated flux density. We propose an accurate magnetic field analytical model for permanent magnet (PM) in-wheel machines considering i...

Connected to my first resaerch paper - This document presents a comprehensive theoretical model that integrates quantum time variance control with fusion energy stabilization. The model incorporates principles from magnetohydrodynamics (MHD), nonlinear dynamics, and electromagnetic theory to ensure stability and precision in fusion energy systems.

The speed of light is not a constant speed as once thought, and this has now been proved by Electrodynamic theory and by Experiments done by many independent researchers. The results clearly show that light propagates instantaneously when it is created by a source, and reduces to approximately the speed of light in the farfield, about one wavelengt...

The study explores the conformable electromagnetic field theory. The concept of the conformable delta function is introduced. Subsequently, the conformable Maxwell's equations are derived.

To improve the portability of magnets in gyrotron devices, we designed a compact Bitter-type magnet with power consumption optimization theory. This magnet operates at room temperature in a small volume. The theory revises existing electromagnetic theory for non-uniform structural Bitter-type magnets and achieves the lowest energy consumption throu...

In the context of the bridge electromagnetic theory, a quantum-relativistic theory based on Maxwellian electromagnetism, it has recently been shown that the characteristics of a hydrogen atom can be obtained through an electron-proton orbital capture process forming a non-radial emitting dipolar electromagnetic source. The model structurally differ...

Without proven causal power, consciousness cannot be integrated with physics except as an epiphenomenon, hence the term ‘hard problem’. Integrated Information Theory (IIT) side-steps the issue by stating that subjective experience must be identical to informational physical structures whose cause-and-effect power is greater than the sum of their pa...

For the short pulse initial data with a first order outgoing constraint condition and optimal orders of smallness, we establish the global existence of smooth solutions to 2D quasilinear wave equations with higher order null conditions. Such kinds of wave equations include 2D relativistic membrane equations, 2D membrane equations, and some 2D quasi...

This paper conducts an in-depth study on the dynamic stability and complex vibration behavior of a 12-pole active magnetic bearing (AMB) system considering gravitational effects under a PD controller. Firstly, based on electromagnetic theory and Newton’s second law, a two-degree-of-freedom control equation of the system, including PD control terms...

In the context of the Bridge Electromagnetic Theory, a quantum-relativistic theory based on Maxwellian electromagnetism, it has recently been shown that the characteristics of a hydrogen atom can be obtained through an electron-proton orbital capture process forming a non-radial emitting dipolar electromagnetic source. The model structurally differ...

This paper introduces the Exponential-Integral Transform (EI Transform), a novel analytical tool for studying functions involving exponential terms. We derive its application to various probability density functions (PDFs) and special functions, demonstrating its utility in extending traditional transforms such as the Laplace and Fourier transforms...

Wearable sensors have revolutionized modern health towards precision medicine. Many measurements taken by wearables are not currently used for medical purposes, and their physical roots are not understood. Here we show the origin of inferring oxygen saturation from measuring estimated oxygen variation while preparing for a marathon via spectrophoto...

Electromagnetic theory is central to physics. An undergraduate major in physics typically takes a semester or a year of electromagnetic theory as a junior or senior, and a graduate student in physics typically takes an additional semester or year at a more advanced level. In fall 2023, the author taught his undergraduate electricity and magnetism c...

Studying the magnetoelastic coupling vibration of moving plates under the influence of complex air-gap magnetic fields is of theoretical significance for modeling multi-field dynamics and solving nonlinear dynamic issues. This paper considers the scenario where an armature wall acts on one side of an axially moving ferromagnetic thin plate and inve...