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We consider the equations of electromagnetism set on a domain made of a dielectric and a conductor subdomain in a regime where the conductivity is large. Assuming smoothness for the dielectric--conductor interface, relying on recent works…

Analysis of PDEs · Mathematics 2022-07-28 Gabriel Caloz , Monique Dauge , Erwan Faou , Victor Péron

We present an efficient numerical technique for calculating the series impedance matrix of systems with round conductors. The method is based on a surface admittance operator in combination with the method of moments and it accurately…

Computational Engineering, Finance, and Science · Computer Science 2016-06-29 Utkarsh R. Patel , Bjorn Gustavsen , Piero Triverio

In this paper, we develop a theory of edge effects in graphene for its applications to nanoantennas in the terahertz, infrared, and visible frequency ranges. Its characteristic feature is selfconsistence reached due the formulation in terms…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 Tomer Berghaus , Touvia Miloh , Oded Gottlieb , Gregory Slepyan

This paper presents an improved technique for solving the inverse problem in magnetic induction tomography (MIT) by considering skin and proximity effects in coils. MIT is a non-contact, noninvasive, and low-cost imaging modality for…

Medical Physics · Physics 2025-07-29 Hassan Yazdanian , Reza Jafari , Hamid Abrishami Moghaddam

The skin effect is analyzed to provide the numerous measurements of the penetration depth of the electromagnetic field in superconducting materials with a theoretical basis. Both the normal and anomalous skin effects are accounted for…

Superconductivity · Physics 2017-12-15 Jacob Szeftel , Nicolas Sandeau , Antoine Khater

Coated conductors with magnetic substrates are thin multilayer structures; their high aspect ratio and nonlinear material properties present significant difficulties for numerical simulation. Using the high width-to-thickness ratio of…

Superconductivity · Physics 2023-05-03 Leonid Prigozhin , Vladimir Sokolovsky

The article discusses a theory that allows to describe losses in conductors taking into account the skin effect and the proximity effect. The developed theory is applied to inductance coils. In contrast to the classical Butterworth theory…

General Physics · Physics 2025-08-21 A. S. Yurkov

Wide-band cable models for the prediction of electromagnetic transients in power systems require the accurate calculation of the cable series impedance as function of frequency. A surface current approach was recently proposed for systems…

Computational Engineering, Finance, and Science · Computer Science 2016-06-29 Utkarsh R. Patel , Bjorn Gustavsen , Piero Triverio

In this paper, a high frequency transformer with different conductors and winding arrangements, at presence of eddy currents and skin effect, is studied. By using different winding structures, and conductor types, such as circular, square…

Instrumentation and Detectors · Physics 2019-10-07 Mohamad Saleh Sanjarinia , Sepehr Saadatmand , Pourya Shamsi , Mehdi Ferdowsi

In this paper, a generalized macromodeling approach is presented to simulate complex electromagnetic (EM) surfaces consisting of unit cells with connected conductors. Macromodels of each unit cell are produced by applying the equivalence…

Numerical Analysis · Mathematics 2022-08-17 Reza Gholami , Parinaz Naseri , Piero Triverio , Sean V. Hum

This work investigates edge modes in non-Hermitian photonic crystals with broken spectral reciprocity. In such systems, the spectra of the underlying operators generally form closed loops over the complex plane with nontrivial spectral…

Mathematical Physics · Physics 2026-03-25 Junshan Lin , Hai Zhang

We derive general frequency dependencies of the surface impedance modulus for conductors without the dc dissipation, i. e. for superconductors or perfect conductors. The frequency-dependent surface impedance was applied for the solutions…

Based on BCS theory with moving Cooper pairs, the electron states distribution at 0K and the probability of electron occupation with finite temperature have been derived and applied to anomalous skin effect theory to obtain the surface…

Superconductivity · Physics 2014-04-10 B. P. Xiao , C. E. Reece , M. J. Kelley

Active soft bodies can affect their shape through an internal actuation mechanism that induces a deformation. Similar to recent work, this paper utilizes a differentiable, quasi-static, and physics-based simulation layer to optimize for…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Lingchen Yang , Byungsoo Kim , Gaspard Zoss , Baran Gözcü , Markus Gross , Barbara Solenthaler

A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field of metamaterial research on synthetic topological matter,…

We introduce a model for the mass transfer of molecular activators and inhibitors in two media separated by an interface, and study its interaction with the deformations exhibited by the two-layer skin tissue where they occur. The…

Numerical Analysis · Mathematics 2022-04-08 Luis Miguel De Oliveira Vilaca , Michel C. Milinkovitch , Ricardo Ruiz Baier

The problem of skin effect with arbitrary specularity in maxwellian plasma with specular--diffuse boundary conditions is solved. A new analytical method is developed that makes it possible to to obtain a solution up to an arbitrary degree…

Mathematical Physics · Physics 2015-05-14 Anatoly V. Latyshev , Alexander A. Yushkanov

We consider the inverse obstacle scattering problem of determining both the shape and the "equivalent impedance" from far field measurements at a fixed frequency. In this work, the surface impedance is represented by a second order surface…

Numerical Analysis · Mathematics 2013-07-24 Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar

Nucleation of the pair condensate near surfaces above the upper critical magnetic field and the pair-condensate enhancement/suppression induced by changes in the electron-phonon interaction at interfaces are the most known examples of the…

Superconductivity · Physics 2023-10-18 Yunfei Bai , Libo Zhang , Xiaobing Luo , A. A. Shanenko , Yajiang Chen

We consider the scattering of time periodic electro-magnetic fields by metallic obstacles, the eddy current problem. In this interface problem different sets of Maxwell equations must be solved in the obstacle and outside, while the…

Numerical Analysis · Mathematics 2016-05-26 M. Maischak , Z. Nezhi , J. E. Ospino , E. P. Stephan
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