Distinct Berry Phases in a Single Triangular M\"obius Microwave ResonatorWe report the experimental observation of two distinct Berry phases (+2π3 and -2π3) generated on the surface of a M\"obius cavity resonator at microwave frequencies…E. C. I. Paterson, M. E. Tobar, M. Goryachev et al.·May 26, 2025SaveLearn
Plasma Frequency of Wire Medium RevisitedThis paper revisits a model for the plasma frequency of a simple wire medium formed by a rectangular lattice of parallel metallic wires. We provide a comparative analysis of existing formulae for…Denis Sakhno, Pavel A. Belov·May 23, 2025SaveLearn
The Upward-Driven Disk, a Steadily Forced Chaotic PendulumAn "upward-driven disk" is a novel mechanical device built from LEGO parts. A circular disk is suspended from the point where it is sandwiched between two wheels, making it free to oscillate…Leo Maas·May 23, 2025SaveLearn
Properties of Building Blocks Comprising Strongly Interacting Posts and Their Consideration in Advanced Coaxial Filter DesignsBuilding blocks containing strongly coupled posts offer new possibilities for advanced coaxial (comb-line) filter designs. Equivalent circuits based on the individual resonances of the posts cannot…Smain Amari, Mustafa Bakr, Uwe Rosenberg·May 21, 2025SaveLearn
Hydrostatic-Based Proofs in GeometryInspired by Tokieda's work on mechanical insights in geometry, we explore a hydrostatic approach to classical geometric problems. Using principles of fluid statics, we derive two mathematical…Jaehyeon Kim·May 18, 2025SaveLearn
Lie Group Theory of Multipole Moments and Shape of Stationary Rotating Fluid BodiesWe present a rigorous framework for determining equilibrium configurations of uniformly rotating self-gravitating fluid bodies. This work addresses the longstanding challenge of modeling rotational…Sergei M. Kopeikin·May 17, 2025SaveLearn
Linear theory of viscoelasticity in a generalized hydrodynamic frameworkA generalized hydrodynamic theory that systematically incorporates elasticity and viscoelasticity had been derived about a quarter of a century ago. It is based on a strictly Euler point of view, as…Andreas M. Menzel·May 15, 2025SaveLearn
A Closed-Form Design Method for U-Shaped Springs in Aeroelastic Modeling of Truss-Girder Suspension BridgesAeroelastic model testing is essential for evaluating the wind resistance performance of long-span suspension bridges. In these models, truss girders are commonly modelled by a discrete-stiffness…Guangzhong Gao, Wenkai Du, Yanbo Sun et al.·May 9, 2025SaveLearn
Classical Dirac particle IIn this work we produce a classical Lagrangian description of an elementary spinning particle which satisfies Dirac equation when quantized. We call this particle a classical Dirac particle. We…Juan Barandiaran, Martin Rivas·May 7, 2025SaveLearn
Computing leaky waves in semi-analytical waveguide models by exponential residual relaxationSemi-analytical methods for the modeling of guided waves in structures of constant cross-section lead to frequency-dependent polynomial eigenvalue problems for the wavenumbers and mode shapes.…Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer·May 7, 2025SaveLearn
Designing Band Gaps with Randomly Distributed Sub-Wavelength Helmholtz ResonatorsIt is well-known that band gaps, in the frequency domain, can be achieved by using periodic metamaterials. However it has been challenging to design materials with broad band gaps or that have…Paulo S. Piva, Art L. Gower, I. David Abrahams·May 2, 2025SaveLearn
Legendre polynomial expansion of the potential of a uniformly charged diskWe use a Legendre polynomial expansion to find the electrostatic potential of a uniformly charged disk. We then use the potential to find the electric field of the disk.Jerrold Franklin·May 1, 2025SaveLearn
Research on Non-Contact ResistanceThis paper investigated the phenomenon of non-contact resistance by inserting a non-magnetic metal rod into an induction coil to explore the response changes of an LRC circuit. We focused on…Tongxi Wang, Yiming Xu·Apr 29, 2025SaveLearn
Acceleration of Convergence of Double Series for the Green's Function of the Helmholtz Equation in Polar CoordinatesThe well-known expressions for the Green's functions for the Helmholtz equation in polar coordinates with Dirichlet and Neumann boundary conditions are transformed. The slowly converging double…Igor M. Braver·Apr 28, 2025SaveLearn
Increasing dynamic range of NESs by using geometric nonlinear dampingThe paper deals with the passive control of resonant systems using nonlinear energy sink (NES). The objective is to highlight the benefits of adding nonlinear geometrical damping in addition to the…Etienne Gourc, Pierre-Olivier Mattei, Renaud Côte et al.·Apr 24, 2025SaveLearn
General method for solving nonlinear optical scattering problems using fix point iterationsIn this paper we introduce a new fix point iteration scheme for solving nonlinear electromagnetic scattering problems. The method is based on a spectral formulation of Maxwell's equations called the…Per Kristen Jakobsen·Apr 23, 2025SaveLearn
The Behavior of the Electromagnetic Field Near the Edge of a Resistive Half-PlaneThe present work is aimed at defining the behavior of the electromagnetic field near the edge of a resistive half-plane, taken separately, as well as in conjunction with a perfectly conducting…Igor M. Braver, Pinchos Sh. Fridberg, Khona L. Garb et al.·Apr 18, 2025SaveLearn
Time-Varying Spectrum of the Random StringWe consider the response of a finite string to white noise and obtain the exact time-dependent spectrum. The complete exact solution is obtained, that is, both the transient and steady-state…Lorenzo Galleani, Leon Cohen·Apr 17, 2025SaveLearn
The Mechanics of Macroscopic ElectrodynamicsClassical Electrodynamics in ponderable media remains defined by a century-long debate over force and energy localization. While the prevailing view treats competing formulations (Minkowski, Abraham,…Bela Schulte Westhoff·Apr 12, 2025SaveLearn
Ray geodesics and wave propagation on the Beltrami surface: Optics of an optical wormholeThis study investigates ray geodesics and wave propagation on the Beltrami surface, with a particular emphasis on the effective potentials governing photon dynamics. We derive the geodesic equations…Semra Gurtas Dogan, Abdullah Guvendi, Omar Mustafa·Apr 10, 2025SaveLearn
Modelling Lateral Spread in Wire Flat RollingA mathematical model for wire rolling is developed, focusing on predicting the lateral spread. This provides, for the first time, an analytic model of lateral spread without any fitting parameters.…Mozhdeh Erfanian, Carl D. Slater, Edward James Brambley·Apr 7, 2025SaveLearn
Three Strongly Coupled Kerr Parametric Oscillators Forming a Boltzmann MachineCoupled Kerr parametric oscillators (KPOs) are a promising resource for classical and quantum analog computation, for example to find the ground state of Ising Hamiltonians. Yet, the state space of…Gabriel Margiani, Orjan Ameye, Oded Zilberberg et al.·Apr 5, 2025SaveLearn
Electromagnetic Helicity in Twisted Cavity ResonatorsThrough left- or right-handed twisting, we investigate the impact of mirror-asymmetry (chirality) of the conducting boundary conditions of an equilaterial triangular cross-section electromagnetic…E. C. I. Paterson, J. Bourhill, M. E. Tobar et al.·Apr 4, 2025SaveLearn
On the Derivation of the Cosmological Gurzadyan's TheoremIn cosmology, the Gurzadyan's theorem identifies the most general force law consistent with the finding of Newton's first shell theorem -- that a spherical symmetric mass exerts the same…Trung V. Phan·Apr 2, 2025SaveLearn
Symmetry Analysis of Proper-Time Maxwell's Equations: Invariant Solutions and Physical ImplicationsGill and Zachary's proper-time reformulation of Maxwell's equations introduces a source-dependent speed b = sqrt(c2 + u2), distinct from standard electrodynamics. This study applies Lie…Joshua Owolabi Adeleke·Apr 2, 2025SaveLearn