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Using the Harmonic map ansatz, we reduce the axisymmetric, static Einstein-Maxwell equations coupled with a magnetized perfect fluid to a set of Poisson-like equations. We were able to integrate the Poisson equations in terms of an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tonatiuh Matos

We present a general method to derive the magnetic field dependence of the surface resistance of superconductors from the Q-curves obtained during the cryogenic tests of cavities. The results are applied to coaxial half-wave cavities,…

Accelerator Physics · Physics 2018-12-17 J. R. Delayen , H. Park , S. U. De Silva , G. Ciovati , Z. Li

We present a complete theory of electromagnetic modes in spherical cavities, resolving fundamental questions about the nature of angular quantization. The standard result that angular indices $(\ell,m)$ must be integers is shown to be a…

Mathematical Physics · Physics 2025-12-23 Mustafa Bakr , Tongyu Zhang , Smain Amari

This article presents the numerical eigensolver to find the resonant frequencies of 3-D closed cavity resonators filled with both electric and magnetic lossy, anisotropic media. By introducing a dummy variable with zero value in the 3-D…

Numerical Analysis · Mathematics 2021-08-31 Wei Jiang , Jie Liu , Shiling Zheng

This paper introduces a high-order accurate surface integral equation method for solving 3D electromagnetic scattering for dielectric objects with uniaxially anisotropic permittivity tensors. The N-M\"uller formulation is leveraged…

Computational Physics · Physics 2023-05-17 Jin Hu , Constantine Sideris

We compute the local spectrum of the magnetic field near a metallic microstructure at finite temperature. Our main focus is on deviations from a plane-layered geometry for which we review the main properties. Arbitrary geometries are…

Classical Physics · Physics 2008-06-05 Bo Zhang , Carsten Henkel

Imaging of microwave magnetic fields with nano-scale resolution has interesting applications. Specifically, detecting the orientation of the microwave fields is useful in condensed matter physics and quantum control. However, most of the…

Quantum Physics · Physics 2026-01-13 Akshat Rana , Pooja Lamba , Atanu Ghosh , Siddharth Dhomkar , Rama K. Kamineni

We propose a new method to compute magnetic surfaces that are parametrized in Boozer coordinates for vacuum magnetic fields. We also propose a measure for quasi-symmetry on the computed surfaces and use it to design coils that generate a…

Plasma Physics · Physics 2022-08-17 Andrew Giuliani , Florian Wechsung , Matt Landreman , Georg Stadler , Antoine Cerfon

Recently developed eigenvalue method is being used to calculate absorption spectra in magnetic square nanodots and nanodisks. Obtained results are being compared with both theoretical and experimental results obtained previously for such…

Materials Science · Physics 2007-05-23 K. Rivkin , Lance DeLong , John B. Ketterson

We present a quantization procedure for the electromagnetic field in a circular cylindrical cavity with perfectly conducting walls, which is based on the decomposition of the field. A new decomposition procedure is proposed; all vector mode…

Quantum Physics · Physics 2007-05-23 K. Kakazu , Y. S. Kim

This paper introduces an efficient approach for solving the Electric Field Integral Equation (EFIE) with high-order accuracy by explicitly enforcing the continuity of the impressed current densities across boundaries of the surface patch…

Numerical Analysis · Mathematics 2024-03-08 Jin Hu , Constantine Sideris

Integrable or near-integrable magnetic fields are prominent in the design of plasma confinement devices. Such a field is characterized by the existence of a singular foliation consisting entirely of invariant submanifolds. A regular leaf,…

Mathematical Physics · Physics 2023-06-08 Joshua W. Burby , Nathan Duignan , James D. Meiss

An algorithm for the direct inversion of the linear systems arising from Nystrom discretization of integral equations on one-dimensional domains is described. The method typically has O(N) complexity when applied to boundary integral…

Numerical Analysis · Mathematics 2011-05-27 Adrianna Gillman , Patrick Young , Per-Gunnar Martinsson

We consider the problem of determination of a magnetic field from three dimensional polarimetric neutron tomography data. We see that this is an example of a non-Abelian ray transform and that the problem has a globally unique solution for…

Analysis of PDEs · Mathematics 2019-10-21 Naeem M. Desai , William R. B. Lionheart , Morten Sales , Markus Strobl , Søren Schmidt

This work is about uniform, plane, singly connected, strictly regular Hall-plates with an arbitrary number of peripheral contacts exposed to a uniform magnetic field of arbitrary strength. The strictly regular symmetry is the highest…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Udo Ausserlechner

The steady-state structure of self-gravitating, magnetized accretion disks is studied using a set of self-similar solutions which are appropriate in the outer regions. The disk is assumed to be isothermal and the magnetic field outside of…

Astrophysics · Physics 2009-11-13 Mohsen Shadmehri , Fazeleh Khajenabi

We describe a real-space approach to the calculation of the properties of an insulating crystal in an applied electric field, based on the iterative determination of the Wannier functions (WF's) of the occupied bands. It has been recently…

Condensed Matter · Physics 2009-10-22 R. W. Nunes , David Vanderbilt

We present a technique for addressing single NV$^{-}$ center spins in diamond over macroscopic distances using a tunable dielectric microwave cavity. We demonstrate optically detected magnetic resonance (ODMR) for a single NV$^{-}$ center…

Quantum Physics · Physics 2015-06-23 J. -M. Le Floch , C. Bradac , N. Nand , S. Castelletto , M. E. Tobar , T. Volz

We present an analytical solution for the magnetic field of a homogeneously magnetized cylinder tile and by extension solutions for full cylinders, rings, cylinder sectors and ring segments. The derivation is done by direct integration in…

Classical Physics · Physics 2022-06-22 Florian Slanovc , Michael Ortner , Mohssen Moridi , Claas Abert , Dieter Suess

When the last electron-photon scattering takes place in a magnetized environment, the degree of circular polarization of the outgoing radiation depends upon the magnetic field strength. After deriving the scattering matrix of the process,…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-27 Massimo Giovannini